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    <link:label id="lab_ecd_TradingArrByIndTable_terseLabel_en-US" xlink:label="lab_ecd_TradingArrByIndTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Trading Arrangements, by Individual</link:label>
    <link:label id="lab_ecd_TradingArrByIndTable_label_en-US" xlink:label="lab_ecd_TradingArrByIndTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangements, by Individual [Table]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TradingArrByIndTable" xlink:to="lab_ecd_TradingArrByIndTable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TwoThousandTwentyFiveNotesMember_019e6638-c4eb-7baf-90cd-66d25639103e_terseLabel_en-US" xlink:label="lab_obdc_TwoThousandTwentyFiveNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO XIV</link:label>
    <link:label id="lab_obdc_TwoThousandTwentyFiveNotesMember_label_en-US" xlink:label="lab_obdc_TwoThousandTwentyFiveNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Five Notes [Member]</link:label>
    <link:label id="lab_obdc_TwoThousandTwentyFiveNotesMember_documentation_en-US" xlink:label="lab_obdc_TwoThousandTwentyFiveNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Five Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TwoThousandTwentyFiveNotesMember" xlink:href="obdc-20260630.xsd#obdc_TwoThousandTwentyFiveNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TwoThousandTwentyFiveNotesMember" xlink:to="lab_obdc_TwoThousandTwentyFiveNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TradingArrAxis_terseLabel_en-US" xlink:label="lab_ecd_TradingArrAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Trading Arrangement:</link:label>
    <link:label id="lab_ecd_TradingArrAxis_label_en-US" xlink:label="lab_ecd_TradingArrAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangement [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TradingArrAxis" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_TradingArrAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TradingArrAxis" xlink:to="lab_ecd_TradingArrAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestRateSwap2027NotesMember_019e6638-c591-7a88-a759-aa82a9c47c9b_terseLabel_en-US" xlink:label="lab_obdc_InterestRateSwap2027NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest Rate Swap 2027 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwap2027NotesMember_019f5b42-3c9a-7265-b915-7c64facb844e_verboseLabel_en-US" xlink:label="lab_obdc_InterestRateSwap2027NotesMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">2027 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwap2027NotesMember_label_en-US" xlink:label="lab_obdc_InterestRateSwap2027NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2027 Notes [Member]</link:label>
    <link:label id="lab_obdc_InterestRateSwap2027NotesMember_documentation_en-US" xlink:label="lab_obdc_InterestRateSwap2027NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2027 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestRateSwap2027NotesMember" xlink:href="obdc-20260630.xsd#obdc_InterestRateSwap2027NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestRateSwap2027NotesMember" xlink:to="lab_obdc_InterestRateSwap2027NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_MaximumMember_019e6638-c4ec-77e5-8da5-57517d60c495_terseLabel_en-US" xlink:label="lab_srt_MaximumMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maximum</link:label>
    <link:label id="lab_srt_MaximumMember_label_en-US" xlink:label="lab_srt_MaximumMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Maximum [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MaximumMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MaximumMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_MaximumMember" xlink:to="lab_srt_MaximumMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PortionAtFairValueFairValueDisclosureMember_019e6638-c4ec-7420-8c1b-8d94585bcb12_terseLabel_en-US" xlink:label="lab_us-gaap_PortionAtFairValueFairValueDisclosureMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Portion at Fair Value Measurement</link:label>
    <link:label id="lab_us-gaap_PortionAtFairValueFairValueDisclosureMember_label_en-US" xlink:label="lab_us-gaap_PortionAtFairValueFairValueDisclosureMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Portion at Fair Value Measurement [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PortionAtFairValueFairValueDisclosureMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PortionAtFairValueFairValueDisclosureMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PortionAtFairValueFairValueDisclosureMember" xlink:to="lab_us-gaap_PortionAtFairValueFairValueDisclosureMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_RelatedPartyTransactionNumberOfComponents_019e6638-c590-7c55-8dc2-e009f17efc7c_terseLabel_en-US" xlink:label="lab_obdc_RelatedPartyTransactionNumberOfComponents" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Incentive fee components</link:label>
    <link:label id="lab_obdc_RelatedPartyTransactionNumberOfComponents_label_en-US" xlink:label="lab_obdc_RelatedPartyTransactionNumberOfComponents" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction, Number Of Components</link:label>
    <link:label id="lab_obdc_RelatedPartyTransactionNumberOfComponents_documentation_en-US" xlink:label="lab_obdc_RelatedPartyTransactionNumberOfComponents" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Related Party Transaction, Number Of Components</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_RelatedPartyTransactionNumberOfComponents" xlink:href="obdc-20260630.xsd#obdc_RelatedPartyTransactionNumberOfComponents"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RelatedPartyTransactionNumberOfComponents" xlink:to="lab_obdc_RelatedPartyTransactionNumberOfComponents" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_Security12bTitle_019e6638-c4ec-7b33-9877-2b9d02beeb04_terseLabel_en-US" xlink:label="lab_dei_Security12bTitle" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Title of 12(b) Security</link:label>
    <link:label id="lab_dei_Security12bTitle_label_en-US" xlink:label="lab_dei_Security12bTitle" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Title of 12(b) Security</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_Security12bTitle"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_Security12bTitle" xlink:to="lab_dei_Security12bTitle" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventMember_019e6638-c591-7262-81c1-4086584fa02b_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsequent Event</link:label>
    <link:label id="lab_us-gaap_SubsequentEventMember_label_en-US" xlink:label="lab_us-gaap_SubsequentEventMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Event [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventMember" xlink:to="lab_us-gaap_SubsequentEventMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CarryingReportedAmountFairValueDisclosureMember_019e6638-c590-7cbe-a9af-262d289b7cd6_terseLabel_en-US" xlink:label="lab_us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Carrying Value</link:label>
    <link:label id="lab_us-gaap_CarryingReportedAmountFairValueDisclosureMember_label_en-US" xlink:label="lab_us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Reported Value Measurement [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CarryingReportedAmountFairValueDisclosureMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:to="lab_us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_AtTheMarketOfferingsMember_019e6638-c590-77cb-b84f-576712476fc6_terseLabel_en-US" xlink:label="lab_obdc_AtTheMarketOfferingsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">At The Market Offerings</link:label>
    <link:label id="lab_obdc_AtTheMarketOfferingsMember_label_en-US" xlink:label="lab_obdc_AtTheMarketOfferingsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">At The Market Offerings [Member]</link:label>
    <link:label id="lab_obdc_AtTheMarketOfferingsMember_documentation_en-US" xlink:label="lab_obdc_AtTheMarketOfferingsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">At The Market Offerings</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_AtTheMarketOfferingsMember" xlink:href="obdc-20260630.xsd#obdc_AtTheMarketOfferingsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_AtTheMarketOfferingsMember" xlink:to="lab_obdc_AtTheMarketOfferingsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable_019e6638-c4ec-7176-9a56-5a52ea012b45_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Instruments, Gain (Loss) [Table]</link:label>
    <link:label id="lab_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable_label_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Instruments, Gain (Loss) [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:to="lab_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AdjToCompAmt_terseLabel_en-US" xlink:label="lab_ecd_AdjToCompAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Adjustment to Compensation, Amount</link:label>
    <link:label id="lab_ecd_AdjToCompAmt_label_en-US" xlink:label="lab_ecd_AdjToCompAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustment to Compensation Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AdjToCompAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AdjToCompAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AdjToCompAmt" xlink:to="lab_ecd_AdjToCompAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareLineItems_019e6638-c4ec-7dc6-b302-4a0aa93f3607_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value, Investments, Entities that Calculate Net Asset Value Per Share [Line Items]</link:label>
    <link:label id="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareLineItems_label_en-US" xlink:label="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Investments, Entities that Calculate Net Asset Value Per Share [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareLineItems" xlink:to="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FinancialInstrumentAxis_019e6638-c4eb-74b4-a2aa-535cc0f4562f_terseLabel_en-US" xlink:label="lab_us-gaap_FinancialInstrumentAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial Instrument [Axis]</link:label>
    <link:label id="lab_us-gaap_FinancialInstrumentAxis_label_en-US" xlink:label="lab_us-gaap_FinancialInstrumentAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Instrument [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancialInstrumentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialInstrumentAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FinancialInstrumentAxis" xlink:to="lab_us-gaap_FinancialInstrumentAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MeasurementInputAUMMultipleMember_019e6638-c590-739b-a339-0df356a008cf_terseLabel_en-US" xlink:label="lab_obdc_MeasurementInputAUMMultipleMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">AUM Multiple</link:label>
    <link:label id="lab_obdc_MeasurementInputAUMMultipleMember_label_en-US" xlink:label="lab_obdc_MeasurementInputAUMMultipleMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, AUM Multiple [Member]</link:label>
    <link:label id="lab_obdc_MeasurementInputAUMMultipleMember_documentation_en-US" xlink:label="lab_obdc_MeasurementInputAUMMultipleMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input, AUM Multiple</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MeasurementInputAUMMultipleMember" xlink:href="obdc-20260630.xsd#obdc_MeasurementInputAUMMultipleMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MeasurementInputAUMMultipleMember" xlink:to="lab_obdc_MeasurementInputAUMMultipleMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InitialFourthThresholdPercentageMember_019e6638-c4ec-7000-b94a-929f7da27538_terseLabel_en-US" xlink:label="lab_obdc_InitialFourthThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Initial Fourth Threshold Percentage</link:label>
    <link:label id="lab_obdc_InitialFourthThresholdPercentageMember_label_en-US" xlink:label="lab_obdc_InitialFourthThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Initial Fourth Threshold Percentage [Member]</link:label>
    <link:label id="lab_obdc_InitialFourthThresholdPercentageMember_documentation_en-US" xlink:label="lab_obdc_InitialFourthThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Initial Fourth Threshold Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InitialFourthThresholdPercentageMember" xlink:href="obdc-20260630.xsd#obdc_InitialFourthThresholdPercentageMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InitialFourthThresholdPercentageMember" xlink:to="lab_obdc_InitialFourthThresholdPercentageMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock_019e6638-c590-7ef0-b298-c05914ba7197_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Fair Value Hierarchy of Investments</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ForeignCurrencyTransactionGainLossRealized_019e6638-c4ec-7e73-8bc6-d70929e82c7d_terseLabel_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossRealized" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency transactions</link:label>
    <link:label id="lab_us-gaap_ForeignCurrencyTransactionGainLossRealized_label_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossRealized" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Realized Gain (Loss), Foreign Currency Transaction, before Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignCurrencyTransactionGainLossRealized" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ForeignCurrencyTransactionGainLossRealized"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignCurrencyTransactionGainLossRealized" xlink:to="lab_us-gaap_ForeignCurrencyTransactionGainLossRealized" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SaleOfStockMaximumOfferingAmount_019e6638-c4eb-7542-bd01-58488bc7c15d_terseLabel_en-US" xlink:label="lab_obdc_SaleOfStockMaximumOfferingAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maximum offering amount</link:label>
    <link:label id="lab_obdc_SaleOfStockMaximumOfferingAmount_label_en-US" xlink:label="lab_obdc_SaleOfStockMaximumOfferingAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sale of Stock, Maximum Offering Amount</link:label>
    <link:label id="lab_obdc_SaleOfStockMaximumOfferingAmount_documentation_en-US" xlink:label="lab_obdc_SaleOfStockMaximumOfferingAmount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Sale of Stock, Maximum Offering Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SaleOfStockMaximumOfferingAmount" xlink:href="obdc-20260630.xsd#obdc_SaleOfStockMaximumOfferingAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SaleOfStockMaximumOfferingAmount" xlink:to="lab_obdc_SaleOfStockMaximumOfferingAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentForIncentiveFee_019e6638-c591-7faa-a6ec-c5912f24543c_terseLabel_en-US" xlink:label="lab_us-gaap_PaymentForIncentiveFee" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Incentive fee</link:label>
    <link:label id="lab_us-gaap_PaymentForIncentiveFee_label_en-US" xlink:label="lab_us-gaap_PaymentForIncentiveFee" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payment for Incentive Fee</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentForIncentiveFee" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentForIncentiveFee"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentForIncentiveFee" xlink:to="lab_us-gaap_PaymentForIncentiveFee" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CommitmentToOwlHPFinanceMember_019e6638-c591-76cc-a8c0-1dbf86a28d05_terseLabel_en-US" xlink:label="lab_obdc_CommitmentToOwlHPFinanceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitment To Owl-HP Finance</link:label>
    <link:label id="lab_obdc_CommitmentToOwlHPFinanceMember_label_en-US" xlink:label="lab_obdc_CommitmentToOwlHPFinanceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitment To Owl-HP Finance [Member]</link:label>
    <link:label id="lab_obdc_CommitmentToOwlHPFinanceMember_documentation_en-US" xlink:label="lab_obdc_CommitmentToOwlHPFinanceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Commitment To Owl-HP Finance</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CommitmentToOwlHPFinanceMember" xlink:href="obdc-20260630.xsd#obdc_CommitmentToOwlHPFinanceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CommitmentToOwlHPFinanceMember" xlink:to="lab_obdc_CommitmentToOwlHPFinanceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_AssetBasedLendingAndFundFinanceMember_019e6638-c4ec-7e26-ae33-8bf73da294b8_terseLabel_en-US" xlink:label="lab_obdc_AssetBasedLendingAndFundFinanceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Asset based lending and fund finance</link:label>
    <link:label id="lab_obdc_AssetBasedLendingAndFundFinanceMember_label_en-US" xlink:label="lab_obdc_AssetBasedLendingAndFundFinanceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Asset Based Lending And Fund Finance [Member]</link:label>
    <link:label id="lab_obdc_AssetBasedLendingAndFundFinanceMember_documentation_en-US" xlink:label="lab_obdc_AssetBasedLendingAndFundFinanceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Asset Based Lending And Fund Finance</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_AssetBasedLendingAndFundFinanceMember" xlink:href="obdc-20260630.xsd#obdc_AssetBasedLendingAndFundFinanceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_AssetBasedLendingAndFundFinanceMember" xlink:to="lab_obdc_AssetBasedLendingAndFundFinanceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentRiskAxis_019e6638-c4ec-7818-99bb-554bbe606953_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentRiskAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Instrument [Axis]</link:label>
    <link:label id="lab_us-gaap_DerivativeInstrumentRiskAxis_label_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentRiskAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Instrument [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis" xlink:to="lab_us-gaap_DerivativeInstrumentRiskAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember_019e6638-c4eb-7199-895e-62472840ea46_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-controlled, affiliated investments</link:label>
    <link:label id="lab_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember_019e6638-c4eb-7869-b86d-a439875d19ec_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Non-controlled, affiliated investments</link:label>
    <link:label id="lab_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember_label_en-US" xlink:label="lab_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Affiliated Issuer, Noncontrolled [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember" xlink:to="lab_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestRateSwaps2029Notes2Member_019e6638-c4ec-7c9b-ae47-4ea0bf16ff95_terseLabel_en-US" xlink:label="lab_obdc_InterestRateSwaps2029Notes2Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest Rate Swap 2029 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2029Notes2Member_019f5b42-729b-7874-af0d-f6a21a295fd5_verboseLabel_en-US" xlink:label="lab_obdc_InterestRateSwaps2029Notes2Member" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">2029 Notes - $400 mm</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2029Notes2Member_label_en-US" xlink:label="lab_obdc_InterestRateSwaps2029Notes2Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps, 2029 Notes 2 [Member]</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2029Notes2Member_documentation_en-US" xlink:label="lab_obdc_InterestRateSwaps2029Notes2Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps, 2029 Notes 2</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestRateSwaps2029Notes2Member" xlink:href="obdc-20260630.xsd#obdc_InterestRateSwaps2029Notes2Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestRateSwaps2029Notes2Member" xlink:to="lab_obdc_InterestRateSwaps2029Notes2Member" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_NonQualifyingAssetsPercentOfNetAssets_019e6638-c4ec-7fe8-9328-99fb07d83fbb_terseLabel_en-US" xlink:label="lab_obdc_NonQualifyingAssetsPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-qualifying assets as a percent of total assets</link:label>
    <link:label id="lab_obdc_NonQualifyingAssetsPercentOfNetAssets_label_en-US" xlink:label="lab_obdc_NonQualifyingAssetsPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-Qualifying Assets, Percent Of Net Assets</link:label>
    <link:label id="lab_obdc_NonQualifyingAssetsPercentOfNetAssets_documentation_en-US" xlink:label="lab_obdc_NonQualifyingAssetsPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Non-Qualifying Assets, Percent Of Net Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_NonQualifyingAssetsPercentOfNetAssets" xlink:href="obdc-20260630.xsd#obdc_NonQualifyingAssetsPercentOfNetAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_NonQualifyingAssetsPercentOfNetAssets" xlink:to="lab_obdc_NonQualifyingAssetsPercentOfNetAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityCommonStockSharesOutstanding_019e6638-c4ec-7b20-a858-6d735c781337_terseLabel_en-US" xlink:label="lab_dei_EntityCommonStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Common Stock, Shares Outstanding</link:label>
    <link:label id="lab_dei_EntityCommonStockSharesOutstanding_label_en-US" xlink:label="lab_dei_EntityCommonStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Common Stock, Shares Outstanding</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCommonStockSharesOutstanding" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityCommonStockSharesOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityCommonStockSharesOutstanding" xlink:to="lab_dei_EntityCommonStockSharesOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ManufacturingMember_019e6638-c427-7306-8423-e7c7557470d5_terseLabel_en-US" xlink:label="lab_obdc_ManufacturingMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Manufacturing</link:label>
    <link:label id="lab_obdc_ManufacturingMember_label_en-US" xlink:label="lab_obdc_ManufacturingMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Manufacturing [Member]</link:label>
    <link:label id="lab_obdc_ManufacturingMember_documentation_en-US" xlink:label="lab_obdc_ManufacturingMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Manufacturing</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ManufacturingMember" xlink:href="obdc-20260630.xsd#obdc_ManufacturingMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ManufacturingMember" xlink:to="lab_obdc_ManufacturingMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionsDisclosureTextBlock_019e6638-c4eb-77ab-a0cd-166e43b19516_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Agreements and Related Party Transactions</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionsDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transactions Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyTransactionsDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:to="lab_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVMember_019e6638-c591-7a0c-949a-cd4289b85767_terseLabel_en-US" xlink:label="lab_obdc_CLOVMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V</link:label>
    <link:label id="lab_obdc_CLOVMember_label_en-US" xlink:label="lab_obdc_CLOVMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V [Member]</link:label>
    <link:label id="lab_obdc_CLOVMember_documentation_en-US" xlink:label="lab_obdc_CLOVMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVMember" xlink:href="obdc-20260630.xsd#obdc_CLOVMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVMember" xlink:to="lab_obdc_CLOVMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember_019e6638-c591-7c00-a4d9-513e02ea3ab4_terseLabel_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-Extending Commitments</link:label>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember_label_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Senior Secured Revolving Credit Facility, Non-Extending Commitments [Member]</link:label>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember_documentation_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Senior Secured Revolving Credit Facility, Non-Extending Commitments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember" xlink:href="obdc-20260630.xsd#obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember" xlink:to="lab_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryAxis_019e6638-c590-78f2-b900-af0188bc07d0_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Company, Nonconsolidated Subsidiary [Axis]</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryAxis_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Nonconsolidated Subsidiary [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryAxis" xlink:to="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockParOrStatedValuePerShare_019e6638-c4ec-77f8-a916-eaa6d6d133a4_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockParOrStatedValuePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common stock, par value (in usd per share)</link:label>
    <link:label id="lab_us-gaap_CommonStockParOrStatedValuePerShare_label_en-US" xlink:label="lab_us-gaap_CommonStockParOrStatedValuePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock, Par or Stated Value Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockParOrStatedValuePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockParOrStatedValuePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockParOrStatedValuePerShare" xlink:to="lab_us-gaap_CommonStockParOrStatedValuePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments_019e6638-c427-7059-9b5d-de67da53d5ff_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Net amortization/accretion of premium/discount on investments</link:label>
    <link:label id="lab_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments_label_en-US" xlink:label="lab_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accretion (Amortization) of Discounts and Premiums, Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" xlink:to="lab_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_OutstandingAggtErrCompAmt_terseLabel_en-US" xlink:label="lab_ecd_OutstandingAggtErrCompAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Outstanding Aggregate Erroneous Compensation Amount</link:label>
    <link:label id="lab_ecd_OutstandingAggtErrCompAmt_label_en-US" xlink:label="lab_ecd_OutstandingAggtErrCompAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Outstanding Aggregate Erroneous Compensation Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_OutstandingAggtErrCompAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_OutstandingAggtErrCompAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_OutstandingAggtErrCompAmt" xlink:to="lab_ecd_OutstandingAggtErrCompAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NumberOfReportableSegments_019e6638-c590-7d33-82eb-0c4cd331c695_terseLabel_en-US" xlink:label="lab_us-gaap_NumberOfReportableSegments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of reportable segments</link:label>
    <link:label id="lab_us-gaap_NumberOfReportableSegments_label_en-US" xlink:label="lab_us-gaap_NumberOfReportableSegments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of Reportable Segments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NumberOfReportableSegments" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NumberOfReportableSegments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NumberOfReportableSegments" xlink:to="lab_us-gaap_NumberOfReportableSegments" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember_019e6638-c591-7745-9678-5a6d8f276dc1_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Two, Greater Than Equal Product</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember_label_en-US" xlink:label="lab_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Two, Greater Than Equal Product [Member]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Two, Greater Than Equal Product</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember" xlink:href="obdc-20260630.xsd#obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember" xlink:to="lab_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_Series2023ANotesDueOnJune292028Member_019e6638-c591-77df-a52e-79385be7c0d6_terseLabel_en-US" xlink:label="lab_obdc_Series2023ANotesDueOnJune292028Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Series 2023A Notes Due On June 29, 2028</link:label>
    <link:label id="lab_obdc_Series2023ANotesDueOnJune292028Member_label_en-US" xlink:label="lab_obdc_Series2023ANotesDueOnJune292028Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Series 2023A Notes Due On June 29, 2028 [Member]</link:label>
    <link:label id="lab_obdc_Series2023ANotesDueOnJune292028Member_documentation_en-US" xlink:label="lab_obdc_Series2023ANotesDueOnJune292028Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Series 2023A Notes Due On June 29, 2028</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_Series2023ANotesDueOnJune292028Member" xlink:href="obdc-20260630.xsd#obdc_Series2023ANotesDueOnJune292028Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_Series2023ANotesDueOnJune292028Member" xlink:to="lab_obdc_Series2023ANotesDueOnJune292028Member" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityAddressCityOrTown_019e6638-c4ec-758d-a513-b9cea640e44d_terseLabel_en-US" xlink:label="lab_dei_EntityAddressCityOrTown" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Address, City or Town</link:label>
    <link:label id="lab_dei_EntityAddressCityOrTown_label_en-US" xlink:label="lab_dei_EntityAddressCityOrTown" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Address, City or Town</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressCityOrTown"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressCityOrTown" xlink:to="lab_dei_EntityAddressCityOrTown" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeNet_019e6638-c4ec-71c5-bbb5-cd58c9fd8861_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value</link:label>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeNet_label_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative, Fair Value, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeFairValueOfDerivativeNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeFairValueOfDerivativeNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeFairValueOfDerivativeNet" xlink:to="lab_us-gaap_DerivativeFairValueOfDerivativeNet" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StatementOfFinancialPositionAbstract_019e6638-c4ec-7ae9-858e-ad8aa47246f2_terseLabel_en-US" xlink:label="lab_us-gaap_StatementOfFinancialPositionAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statement of Financial Position [Abstract]</link:label>
    <link:label id="lab_us-gaap_StatementOfFinancialPositionAbstract_019e6638-c4ec-75c8-bca3-805a324128c6_verboseLabel_en-US" xlink:label="lab_us-gaap_StatementOfFinancialPositionAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Consolidated Balance Sheet Data</link:label>
    <link:label id="lab_us-gaap_StatementOfFinancialPositionAbstract_label_en-US" xlink:label="lab_us-gaap_StatementOfFinancialPositionAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement of Financial Position [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfFinancialPositionAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementOfFinancialPositionAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract" xlink:to="lab_us-gaap_StatementOfFinancialPositionAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TwoThousandTwentyFourNotesMember_019e6638-c591-728e-8492-0ff49a911192_terseLabel_en-US" xlink:label="lab_obdc_TwoThousandTwentyFourNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2024 Notes</link:label>
    <link:label id="lab_obdc_TwoThousandTwentyFourNotesMember_label_en-US" xlink:label="lab_obdc_TwoThousandTwentyFourNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Four Notes [Member]</link:label>
    <link:label id="lab_obdc_TwoThousandTwentyFourNotesMember_documentation_en-US" xlink:label="lab_obdc_TwoThousandTwentyFourNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Four Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TwoThousandTwentyFourNotesMember" xlink:href="obdc-20260630.xsd#obdc_TwoThousandTwentyFourNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TwoThousandTwentyFourNotesMember" xlink:to="lab_obdc_TwoThousandTwentyFourNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestAndDividendIncomeOperatingPaidInKind_019e6638-c4ec-7fc2-9dc7-39c1ae329491_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_InterestAndDividendIncomeOperatingPaidInKind" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">PIK interest and dividends</link:label>
    <link:label id="lab_us-gaap_InterestAndDividendIncomeOperatingPaidInKind_label_en-US" xlink:label="lab_us-gaap_InterestAndDividendIncomeOperatingPaidInKind" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest and Dividend Income, Operating, Paid in Kind</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestAndDividendIncomeOperatingPaidInKind" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestAndDividendIncomeOperatingPaidInKind"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestAndDividendIncomeOperatingPaidInKind" xlink:to="lab_us-gaap_InterestAndDividendIncomeOperatingPaidInKind" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PeerGroupTotalShareholderRtnAmt_terseLabel_en-US" xlink:label="lab_ecd_PeerGroupTotalShareholderRtnAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Peer Group Total Shareholder Return Amount</link:label>
    <link:label id="lab_ecd_PeerGroupTotalShareholderRtnAmt_label_en-US" xlink:label="lab_ecd_PeerGroupTotalShareholderRtnAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Peer Group Total Shareholder Return Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PeerGroupTotalShareholderRtnAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_PeerGroupTotalShareholderRtnAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PeerGroupTotalShareholderRtnAmt" xlink:to="lab_ecd_PeerGroupTotalShareholderRtnAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash_019e6638-c4ec-71e3-b796-8ce2f58c3b8d_negatedLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Net realized (gain) loss on foreign currency transactions relating to investments</link:label>
    <link:label id="lab_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash_label_en-US" xlink:label="lab_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Transaction Gain (Loss), Realized, Noncash</link:label>
    <link:label id="lab_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Transaction Gain (Loss), Realized, Noncash</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash" xlink:href="obdc-20260630.xsd#obdc_ForeignCurrencyTransactionGainLossRealizedNoncash"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash" xlink:to="lab_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault_019e6638-c590-7ac9-970b-fd04c8be28b0_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Basis spread on variable rate, increase per annum</link:label>
    <link:label id="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault_label_en-US" xlink:label="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Basis Spread on Variable Rate, Increase Per Annum If No Event Of Default</link:label>
    <link:label id="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Basis Spread on Variable Rate, Increase Per Annum If No Event Of Default</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault" xlink:href="obdc-20260630.xsd#obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault" xlink:to="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_AssetBasedLendingAndFinanceMember_019e6638-c4ec-7f8f-a1ee-286cbe14f446_terseLabel_en-US" xlink:label="lab_obdc_AssetBasedLendingAndFinanceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Asset based lending and fund finance</link:label>
    <link:label id="lab_obdc_AssetBasedLendingAndFinanceMember_label_en-US" xlink:label="lab_obdc_AssetBasedLendingAndFinanceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Asset Based Lending And Finance [Member]</link:label>
    <link:label id="lab_obdc_AssetBasedLendingAndFinanceMember_documentation_en-US" xlink:label="lab_obdc_AssetBasedLendingAndFinanceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Asset Based Lending And Finance</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_AssetBasedLendingAndFinanceMember" xlink:href="obdc-20260630.xsd#obdc_AssetBasedLendingAndFinanceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_AssetBasedLendingAndFinanceMember" xlink:to="lab_obdc_AssetBasedLendingAndFinanceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EquityCommitmentToAmerginAssetCoMember_019e6638-c4eb-7f2b-8616-22c7f98f214b_terseLabel_en-US" xlink:label="lab_obdc_EquityCommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Commitment To Amergin AssetCo</link:label>
    <link:label id="lab_obdc_EquityCommitmentToAmerginAssetCoMember_label_en-US" xlink:label="lab_obdc_EquityCommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Commitment To Amergin AssetCo [Member]</link:label>
    <link:label id="lab_obdc_EquityCommitmentToAmerginAssetCoMember_documentation_en-US" xlink:label="lab_obdc_EquityCommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Commitment To Amergin AssetCo</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EquityCommitmentToAmerginAssetCoMember" xlink:href="obdc-20260630.xsd#obdc_EquityCommitmentToAmerginAssetCoMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EquityCommitmentToAmerginAssetCoMember" xlink:to="lab_obdc_EquityCommitmentToAmerginAssetCoMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueInputsLevel2Member_019e6638-c427-7540-b8bb-f543a15e2a8f_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel2Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Level 2</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel2Member_019e6638-c427-7c21-9ca4-883a794e1fe0_verboseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel2Member" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Level 2</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel2Member_label_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel2Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Inputs, Level 2 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel2Member" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInputsLevel2Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInputsLevel2Member" xlink:to="lab_us-gaap_FairValueInputsLevel2Member" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TotalShareholderRtnVsPeerGroupTextBlock_terseLabel_en-US" xlink:label="lab_ecd_TotalShareholderRtnVsPeerGroupTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Shareholder Return Vs Peer Group</link:label>
    <link:label id="lab_ecd_TotalShareholderRtnVsPeerGroupTextBlock_label_en-US" xlink:label="lab_ecd_TotalShareholderRtnVsPeerGroupTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Total Shareholder Return Vs Peer Group [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TotalShareholderRtnVsPeerGroupTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_TotalShareholderRtnVsPeerGroupTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TotalShareholderRtnVsPeerGroupTextBlock" xlink:to="lab_ecd_TotalShareholderRtnVsPeerGroupTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare_019e6638-c591-7d18-b0c2-32a18f2a3590_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net investment income (in usd per share)</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Investment Income (Loss), Per Share, Basic</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InternetSoftwareAndServicesMember_019e6638-c4eb-71d0-bd48-7871beab3ca8_terseLabel_en-US" xlink:label="lab_obdc_InternetSoftwareAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Internet software&#160;and services</link:label>
    <link:label id="lab_obdc_InternetSoftwareAndServicesMember_label_en-US" xlink:label="lab_obdc_InternetSoftwareAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Internet Software&#160;And Services [Member]</link:label>
    <link:label id="lab_obdc_InternetSoftwareAndServicesMember_documentation_en-US" xlink:label="lab_obdc_InternetSoftwareAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Internet Software&#160;And Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InternetSoftwareAndServicesMember" xlink:href="obdc-20260630.xsd#obdc_InternetSoftwareAndServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InternetSoftwareAndServicesMember" xlink:to="lab_obdc_InternetSoftwareAndServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_NonRule10b51ArrTrmntdFlag_terseLabel_en-US" xlink:label="lab_ecd_NonRule10b51ArrTrmntdFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-Rule 10b5-1 Arrangement Terminated</link:label>
    <link:label id="lab_ecd_NonRule10b51ArrTrmntdFlag_label_en-US" xlink:label="lab_ecd_NonRule10b51ArrTrmntdFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-Rule 10b5-1 Arrangement Terminated [Flag]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_NonRule10b51ArrTrmntdFlag" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_NonRule10b51ArrTrmntdFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_NonRule10b51ArrTrmntdFlag" xlink:to="lab_ecd_NonRule10b51ArrTrmntdFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentInterestRate_019e6638-c4ec-7efb-84f9-bfa71430f262_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentInterestRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate</link:label>
    <link:label id="lab_us-gaap_InvestmentInterestRate_label_en-US" xlink:label="lab_us-gaap_InvestmentInterestRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Interest Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentInterestRate" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentInterestRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentInterestRate" xlink:to="lab_us-gaap_InvestmentInterestRate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendsDomain_019e6638-c427-7553-b836-c47daf21a1ad_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividends [Domain]</link:label>
    <link:label id="lab_us-gaap_DividendsDomain_label_en-US" xlink:label="lab_us-gaap_DividendsDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsDomain" xlink:to="lab_us-gaap_DividendsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendIncomeOperating_019e6638-c4ec-7ddb-ac34-d781a9aec2d2_terseLabel_en-US" xlink:label="lab_us-gaap_DividendIncomeOperating" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividend income</link:label>
    <link:label id="lab_us-gaap_DividendIncomeOperating_label_en-US" xlink:label="lab_us-gaap_DividendIncomeOperating" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividend Income, Operating</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendIncomeOperating" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendIncomeOperating"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendIncomeOperating" xlink:to="lab_us-gaap_DividendIncomeOperating" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventTypeAxis_019e6638-c4ec-7183-a40d-f82d1efbd42a_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsequent Event Type [Axis]</link:label>
    <link:label id="lab_us-gaap_SubsequentEventTypeAxis_label_en-US" xlink:label="lab_us-gaap_SubsequentEventTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Event Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventTypeAxis" xlink:to="lab_us-gaap_SubsequentEventTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConcentrationRiskByTypeAxis_019e6638-c4ec-7c90-b6a0-aeb97ab4f486_terseLabel_en-US" xlink:label="lab_us-gaap_ConcentrationRiskByTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Concentration Risk Type [Axis]</link:label>
    <link:label id="lab_us-gaap_ConcentrationRiskByTypeAxis_label_en-US" xlink:label="lab_us-gaap_ConcentrationRiskByTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Concentration Risk Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskByTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConcentrationRiskByTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConcentrationRiskByTypeAxis" xlink:to="lab_us-gaap_ConcentrationRiskByTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentTable_019e6638-c590-7797-872c-5b78047226b1_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Long-Term Debt Instruments [Table]</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentTable_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Long-Term Debt Instruments [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentTable" xlink:to="lab_us-gaap_DebtInstrumentTable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractEURMember_019e6638-c4ec-74df-b052-a71e8660e9f9_terseLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractEURMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency forward contract EUR</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractEURMember_label_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractEURMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract EUR [Member]</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractEURMember_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractEURMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract EUR</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyForwardContractEURMember" xlink:href="obdc-20260630.xsd#obdc_ForeignCurrencyForwardContractEURMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyForwardContractEURMember" xlink:to="lab_obdc_ForeignCurrencyForwardContractEURMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ClassOfTreasuryStockTable_019e6638-c427-72a7-aa31-1c91358408ed_terseLabel_en-US" xlink:label="lab_us-gaap_ClassOfTreasuryStockTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class of Treasury Stock [Table]</link:label>
    <link:label id="lab_us-gaap_ClassOfTreasuryStockTable_label_en-US" xlink:label="lab_us-gaap_ClassOfTreasuryStockTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class of Treasury Stock [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfTreasuryStockTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ClassOfTreasuryStockTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ClassOfTreasuryStockTable" xlink:to="lab_us-gaap_ClassOfTreasuryStockTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryTable_019e6638-c591-7d9a-9c17-c8fb40ea4cf9_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Income [Table]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryTable_label_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Income [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryTable" xlink:to="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryTable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_IncomeTaxesPaidIncludingExciseTaxes_019e6638-c4ec-7bdd-93f3-34b5c20a9d8b_terseLabel_en-US" xlink:label="lab_obdc_IncomeTaxesPaidIncludingExciseTaxes" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Taxes, including excise tax, paid during the period</link:label>
    <link:label id="lab_obdc_IncomeTaxesPaidIncludingExciseTaxes_label_en-US" xlink:label="lab_obdc_IncomeTaxesPaidIncludingExciseTaxes" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Taxes Paid Including Excise Taxes</link:label>
    <link:label id="lab_obdc_IncomeTaxesPaidIncludingExciseTaxes_documentation_en-US" xlink:label="lab_obdc_IncomeTaxesPaidIncludingExciseTaxes" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Income Taxes Paid Including Excise Taxes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_IncomeTaxesPaidIncludingExciseTaxes" xlink:href="obdc-20260630.xsd#obdc_IncomeTaxesPaidIncludingExciseTaxes"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_IncomeTaxesPaidIncludingExciseTaxes" xlink:to="lab_obdc_IncomeTaxesPaidIncludingExciseTaxes" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TermLoanMember_019e6638-c591-7c00-9a11-4945d3168e0d_terseLabel_en-US" xlink:label="lab_obdc_TermLoanMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Term Loan</link:label>
    <link:label id="lab_obdc_TermLoanMember_label_en-US" xlink:label="lab_obdc_TermLoanMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Term Loan [Member]</link:label>
    <link:label id="lab_obdc_TermLoanMember_documentation_en-US" xlink:label="lab_obdc_TermLoanMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Term Loan</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TermLoanMember" xlink:href="obdc-20260630.xsd#obdc_TermLoanMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TermLoanMember" xlink:to="lab_obdc_TermLoanMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UseOfEstimates_019e6638-c427-7c49-a939-bebeaf674ee9_terseLabel_en-US" xlink:label="lab_us-gaap_UseOfEstimates" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Use of Estimates</link:label>
    <link:label id="lab_us-gaap_UseOfEstimates_label_en-US" xlink:label="lab_us-gaap_UseOfEstimates" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Use of Estimates, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UseOfEstimates" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UseOfEstimates"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UseOfEstimates" xlink:to="lab_us-gaap_UseOfEstimates" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FoodAndBeverageSectorMember_019e6638-c4ec-7f43-9f2a-a1c8dad37df2_terseLabel_en-US" xlink:label="lab_us-gaap_FoodAndBeverageSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Food and beverage</link:label>
    <link:label id="lab_us-gaap_FoodAndBeverageSectorMember_label_en-US" xlink:label="lab_us-gaap_FoodAndBeverageSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Food and Beverage Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FoodAndBeverageSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FoodAndBeverageSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FoodAndBeverageSectorMember" xlink:to="lab_us-gaap_FoodAndBeverageSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_019e6638-c590-78e7-ad24-bf024b7966bf_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party [Axis]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related and Nonrelated Parties [Axis]</link:label>
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    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventAndSecuredDebtRatioEventInterestRate_019e6638-c428-7b01-8120-18ba2089eb33_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventAndSecuredDebtRatioEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Below investment grade and secured debt ratio events, interest rate</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventAndSecuredDebtRatioEventInterestRate_label_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventAndSecuredDebtRatioEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant Compliance, Below Investment Grade Event and Secured Debt Ratio Event, Interest Rate</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventAndSecuredDebtRatioEventInterestRate" xlink:href="obdc-20260630.xsd#obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventAndSecuredDebtRatioEventInterestRate"/>
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    <link:label id="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome_019e6638-c590-7712-8715-ca07a6118811_totalLabel_en-US" xlink:label="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total PIK Income as a % of Investment Income</link:label>
    <link:label id="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome_label_en-US" xlink:label="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest and Dividend Income, Operating, Paid in Kind, Percentage Of Investment Income</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:href="obdc-20260630.xsd#obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:to="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:type="arc" order="1"/>
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    <link:loc xlink:type="locator" xlink:label="loc_obdc_RecapitalizationExchangeRatio" xlink:href="obdc-20260630.xsd#obdc_RecapitalizationExchangeRatio"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RecapitalizationExchangeRatio" xlink:to="lab_obdc_RecapitalizationExchangeRatio" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentPeriodEndDate_019e6638-c590-7dd6-83b7-a683fe968411_terseLabel_en-US" xlink:label="lab_dei_DocumentPeriodEndDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Period End Date</link:label>
    <link:label id="lab_dei_DocumentPeriodEndDate_label_en-US" xlink:label="lab_dei_DocumentPeriodEndDate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Document Period End Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentPeriodEndDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentPeriodEndDate" xlink:to="lab_dei_DocumentPeriodEndDate" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_UnsecuredInvestmentsMember_019e6638-c4ec-7206-a0fc-a54c26963cbc_terseLabel_en-US" xlink:label="lab_obdc_UnsecuredInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unsecured Investments</link:label>
    <link:label id="lab_obdc_UnsecuredInvestmentsMember_label_en-US" xlink:label="lab_obdc_UnsecuredInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unsecured Investments [Member]</link:label>
    <link:label id="lab_obdc_UnsecuredInvestmentsMember_documentation_en-US" xlink:label="lab_obdc_UnsecuredInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Unsecured Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_UnsecuredInvestmentsMember" xlink:href="obdc-20260630.xsd#obdc_UnsecuredInvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_UnsecuredInvestmentsMember" xlink:to="lab_obdc_UnsecuredInvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities_019e6638-c590-7bb7-93f9-9ad484df4ee3_terseLabel_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other accrued expenses and other liabilities</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities_label_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Accrued Liabilities</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities_documentation_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Accrued Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities" xlink:href="obdc-20260630.xsd#obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities" xlink:to="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PreferredStockSharesOutstanding_019e6638-c4ec-7825-b0b7-58c2574d8476_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Preferred stock, shares outstanding (in shares)</link:label>
    <link:label id="lab_us-gaap_PreferredStockSharesOutstanding_label_en-US" xlink:label="lab_us-gaap_PreferredStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Preferred Stock, Shares Outstanding</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockSharesOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PreferredStockSharesOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockSharesOutstanding" xlink:to="lab_us-gaap_PreferredStockSharesOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentFaceAmount_019e6638-c4eb-74e2-bc53-bbcb60f0cb15_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentFaceAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate Principal Committed</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentFaceAmount_019e6638-c4eb-7032-8c63-88bf999b6db3_verboseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentFaceAmount" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Principal amount</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentFaceAmount_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentFaceAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Face Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentFaceAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentFaceAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentFaceAmount" xlink:to="lab_us-gaap_DebtInstrumentFaceAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentTransfers_019e6638-c427-7da6-9dd9-8972d30596cb_terseLabel_en-US" xlink:label="lab_obdc_InvestmentTransfers" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transfers</link:label>
    <link:label id="lab_obdc_InvestmentTransfers_label_en-US" xlink:label="lab_obdc_InvestmentTransfers" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Transfers</link:label>
    <link:label id="lab_obdc_InvestmentTransfers_documentation_en-US" xlink:label="lab_obdc_InvestmentTransfers" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Transfers</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentTransfers" xlink:href="obdc-20260630.xsd#obdc_InvestmentTransfers"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentTransfers" xlink:to="lab_obdc_InvestmentTransfers" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SpecialtyFinanceEquityInvestmentsMember_019e6638-c591-7384-a442-d52fc798cfab_terseLabel_en-US" xlink:label="lab_obdc_SpecialtyFinanceEquityInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Specialty finance equity investments</link:label>
    <link:label id="lab_obdc_SpecialtyFinanceEquityInvestmentsMember_label_en-US" xlink:label="lab_obdc_SpecialtyFinanceEquityInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Specialty Finance Equity Investments [Member]</link:label>
    <link:label id="lab_obdc_SpecialtyFinanceEquityInvestmentsMember_documentation_en-US" xlink:label="lab_obdc_SpecialtyFinanceEquityInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Specialty Finance Equity Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SpecialtyFinanceEquityInvestmentsMember" xlink:href="obdc-20260630.xsd#obdc_SpecialtyFinanceEquityInvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SpecialtyFinanceEquityInvestmentsMember" xlink:to="lab_obdc_SpecialtyFinanceEquityInvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashHeldInForeignCurrency_019e6638-c427-7ec3-9109-2770642806f6_terseLabel_en-US" xlink:label="lab_us-gaap_CashHeldInForeignCurrency" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign cash (cost of $625 and $9,722, respectively)</link:label>
    <link:label id="lab_us-gaap_CashHeldInForeignCurrency_label_en-US" xlink:label="lab_us-gaap_CashHeldInForeignCurrency" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalent, Held in Foreign Currency</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashHeldInForeignCurrency" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashHeldInForeignCurrency"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashHeldInForeignCurrency" xlink:to="lab_us-gaap_CashHeldInForeignCurrency" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts_019e6638-c4ec-7fab-990c-08746dd196dd_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transaction costs</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Transaction Cost, Excluding Separately Recognized Transaction</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts" xlink:to="lab_us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueInputsLevel12And3Member_019e6638-c590-7548-b5c1-8d80a467d25a_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel12And3Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Levels 1, Level 2, and Level 3</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel12And3Member_label_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel12And3Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Inputs, Level 1, Level 2, and Level 3 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel12And3Member" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInputsLevel12And3Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInputsLevel12And3Member" xlink:to="lab_us-gaap_FairValueInputsLevel12And3Member" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_Series2022ANotesTrancheAMember_019e6638-c4ec-7ea7-bc11-0ea23991de82_terseLabel_en-US" xlink:label="lab_obdc_Series2022ANotesTrancheAMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Series 2022A Notes, Tranche A</link:label>
    <link:label id="lab_obdc_Series2022ANotesTrancheAMember_label_en-US" xlink:label="lab_obdc_Series2022ANotesTrancheAMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Series 2022A Notes, Tranche A [Member]</link:label>
    <link:label id="lab_obdc_Series2022ANotesTrancheAMember_documentation_en-US" xlink:label="lab_obdc_Series2022ANotesTrancheAMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Series 2022A Notes, Tranche A</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_Series2022ANotesTrancheAMember" xlink:href="obdc-20260630.xsd#obdc_Series2022ANotesTrancheAMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_Series2022ANotesTrancheAMember" xlink:to="lab_obdc_Series2022ANotesTrancheAMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractEUR2Member_019fa3d1-786a-74cb-beeb-71a6650a8fce_terseLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractEUR2Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency forward contract EUR</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractEUR2Member_label_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractEUR2Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract EUR 2 [Member]</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractEUR2Member_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractEUR2Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract EUR 2</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyForwardContractEUR2Member" xlink:href="obdc-20260630.xsd#obdc_ForeignCurrencyForwardContractEUR2Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyForwardContractEUR2Member" xlink:to="lab_obdc_ForeignCurrencyForwardContractEUR2Member" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateOneMember_019e6638-c427-7d94-9d4f-3787393b65e9_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateOneMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Period One</link:label>
    <link:label id="lab_obdc_DebtVariableRateOneMember_label_en-US" xlink:label="lab_obdc_DebtVariableRateOneMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate One [Member]</link:label>
    <link:label id="lab_obdc_DebtVariableRateOneMember_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateOneMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate One</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateOneMember" xlink:href="obdc-20260630.xsd#obdc_DebtVariableRateOneMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateOneMember" xlink:to="lab_obdc_DebtVariableRateOneMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityShellCompany_019e6638-c590-71b7-a66e-a422882bd668_terseLabel_en-US" xlink:label="lab_dei_EntityShellCompany" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Shell Company</link:label>
    <link:label id="lab_dei_EntityShellCompany_label_en-US" xlink:label="lab_dei_EntityShellCompany" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Shell Company</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityShellCompany" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityShellCompany"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityShellCompany" xlink:to="lab_dei_EntityShellCompany" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingIncentiveFee_019e6638-c4eb-7f82-adc7-de0b1b9d91cb_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingIncentiveFee" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Ratio of total expenses to average net assets</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingIncentiveFee_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingIncentiveFee" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Expense Ratio, after Fee Waiver and Incentive Fee Deduction</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyExpenseRatioIncludingIncentiveFee" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyExpenseRatioIncludingIncentiveFee"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyExpenseRatioIncludingIncentiveFee" xlink:to="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingIncentiveFee" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock_019e6638-c590-7ba1-a556-4bbfa1d19762_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Investments</link:label>
    <link:label id="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock_label_en-US" xlink:label="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Holdings, Schedule of Investments [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock" xlink:to="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EarningsPerShareTextBlock_019e6638-c591-74dd-89c8-fbb9b2cf88f2_terseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Earnings Per Share</link:label>
    <link:label id="lab_us-gaap_EarningsPerShareTextBlock_label_en-US" xlink:label="lab_us-gaap_EarningsPerShareTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Earnings Per Share [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerShareTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EarningsPerShareTextBlock" xlink:to="lab_us-gaap_EarningsPerShareTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EarningsPerShareAbstract_019e6638-c590-7600-b1c1-c34faebfb0f6_terseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Earnings Per Share [Abstract]</link:label>
    <link:label id="lab_us-gaap_EarningsPerShareAbstract_label_en-US" xlink:label="lab_us-gaap_EarningsPerShareAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Earnings Per Share [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerShareAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EarningsPerShareAbstract" xlink:to="lab_us-gaap_EarningsPerShareAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentFiscalPeriodFocus_019e6638-c4ec-7f85-97d3-cfab6d976df8_terseLabel_en-US" xlink:label="lab_dei_DocumentFiscalPeriodFocus" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Fiscal Period Focus</link:label>
    <link:label id="lab_dei_DocumentFiscalPeriodFocus_label_en-US" xlink:label="lab_dei_DocumentFiscalPeriodFocus" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Document Fiscal Period Focus</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentFiscalPeriodFocus" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentFiscalPeriodFocus"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentFiscalPeriodFocus" xlink:to="lab_dei_DocumentFiscalPeriodFocus" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PeerGroupIssuersFnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_PeerGroupIssuersFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Peer Group Issuers, Footnote</link:label>
    <link:label id="lab_ecd_PeerGroupIssuersFnTextBlock_label_en-US" xlink:label="lab_ecd_PeerGroupIssuersFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Peer Group Issuers, Footnote [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PeerGroupIssuersFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_PeerGroupIssuersFnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PeerGroupIssuersFnTextBlock" xlink:to="lab_ecd_PeerGroupIssuersFnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyCapitalShareTransactionsAbstract_019e6638-c590-73c3-ae48-8b87bb2e5f97_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyCapitalShareTransactionsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Capital Share Transactions</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyCapitalShareTransactionsAbstract_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyCapitalShareTransactionsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Capital Share Transaction, Increase (Decrease) [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyCapitalShareTransactionsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyCapitalShareTransactionsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyCapitalShareTransactionsAbstract" xlink:to="lab_us-gaap_InvestmentCompanyCapitalShareTransactionsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_Liabilities_019e6638-c590-779b-809b-9349fb392e98_totalLabel_en-US" xlink:label="lab_us-gaap_Liabilities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Liabilities</link:label>
    <link:label id="lab_us-gaap_Liabilities_019e6638-c590-749e-a8c6-ef2ff00a8d67_terseLabel_en-US" xlink:label="lab_us-gaap_Liabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Liabilities</link:label>
    <link:label id="lab_us-gaap_Liabilities_label_en-US" xlink:label="lab_us-gaap_Liabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Liabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_Liabilities" xlink:to="lab_us-gaap_Liabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_TradingSymbol_019e6638-c4ec-7ac9-bba2-5d2e037a272f_terseLabel_en-US" xlink:label="lab_dei_TradingSymbol" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Trading Symbol</link:label>
    <link:label id="lab_dei_TradingSymbol_label_en-US" xlink:label="lab_dei_TradingSymbol" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Symbol</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_TradingSymbol"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_TradingSymbol" xlink:to="lab_dei_TradingSymbol" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MeasurementInputDiscountRateMember_019e6638-c591-7708-86e0-0f24de835565_terseLabel_en-US" xlink:label="lab_us-gaap_MeasurementInputDiscountRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Market Yield</link:label>
    <link:label id="lab_us-gaap_MeasurementInputDiscountRateMember_label_en-US" xlink:label="lab_us-gaap_MeasurementInputDiscountRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Discount Rate [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputDiscountRateMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MeasurementInputDiscountRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MeasurementInputDiscountRateMember" xlink:to="lab_us-gaap_MeasurementInputDiscountRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentOwnedAtFairValueMember_019e6638-c4ec-76f5-8e6a-b78182216d8a_terseLabel_en-US" xlink:label="lab_obdc_InvestmentOwnedAtFairValueMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Owned, At Fair Value</link:label>
    <link:label id="lab_obdc_InvestmentOwnedAtFairValueMember_label_en-US" xlink:label="lab_obdc_InvestmentOwnedAtFairValueMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Owned, At Fair Value [Member]</link:label>
    <link:label id="lab_obdc_InvestmentOwnedAtFairValueMember_documentation_en-US" xlink:label="lab_obdc_InvestmentOwnedAtFairValueMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Owned, At Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentOwnedAtFairValueMember" xlink:href="obdc-20260630.xsd#obdc_InvestmentOwnedAtFairValueMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentOwnedAtFairValueMember" xlink:to="lab_obdc_InvestmentOwnedAtFairValueMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockRepurchaseProgramPeriodInForce1_019e6638-c427-720f-adf4-441a5fe52aad_terseLabel_en-US" xlink:label="lab_us-gaap_StockRepurchaseProgramPeriodInForce1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repurchase program term</link:label>
    <link:label id="lab_us-gaap_StockRepurchaseProgramPeriodInForce1_label_en-US" xlink:label="lab_us-gaap_StockRepurchaseProgramPeriodInForce1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share Repurchase Program, Period in Force</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockRepurchaseProgramPeriodInForce1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockRepurchaseProgramPeriodInForce1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRepurchaseProgramPeriodInForce1" xlink:to="lab_us-gaap_StockRepurchaseProgramPeriodInForce1" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock_019e6638-c4ec-7ef3-9017-b9421b27beb5_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Purchase Price to Assets Acquired and Liabilities Assumed</link:label>
    <link:label id="lab_us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Asset Acquired and Liability Assumed [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_CoSelectedMeasureName_terseLabel_en-US" xlink:label="lab_ecd_CoSelectedMeasureName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Company Selected Measure Name</link:label>
    <link:label id="lab_ecd_CoSelectedMeasureName_label_en-US" xlink:label="lab_ecd_CoSelectedMeasureName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Company Selected Measure Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_CoSelectedMeasureName" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_CoSelectedMeasureName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_CoSelectedMeasureName" xlink:to="lab_ecd_CoSelectedMeasureName" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SaleOfStockNameOfTransactionDomain_019e6638-c4ec-7135-98f5-03de1338db4d_terseLabel_en-US" xlink:label="lab_us-gaap_SaleOfStockNameOfTransactionDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Sale of Stock [Domain]</link:label>
    <link:label id="lab_us-gaap_SaleOfStockNameOfTransactionDomain_label_en-US" xlink:label="lab_us-gaap_SaleOfStockNameOfTransactionDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sale of Stock [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SaleOfStockNameOfTransactionDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SaleOfStockNameOfTransactionDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SaleOfStockNameOfTransactionDomain" xlink:to="lab_us-gaap_SaleOfStockNameOfTransactionDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash_019e6638-c4ec-7696-b468-0bbdaf6280cd_negatedTerseLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized (gain) loss on translation of assets and liabilities in foreign currencies</link:label>
    <link:label id="lab_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash_label_en-US" xlink:label="lab_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Transaction Gain (Loss), Unrealized, Noncash</link:label>
    <link:label id="lab_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Transaction Gain (Loss), Unrealized, Noncash</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash" xlink:href="obdc-20260630.xsd#obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash" xlink:to="lab_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeTaxDisclosureAbstract_label_en-US" xlink:label="lab_us-gaap_IncomeTaxDisclosureAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Tax Disclosure [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxDisclosureAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxDisclosureAbstract" xlink:to="lab_us-gaap_IncomeTaxDisclosureAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeFixedInterestRate_019e6638-c427-762c-b519-04158dde7e7c_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeFixedInterestRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fixed interest rate</link:label>
    <link:label id="lab_us-gaap_DerivativeFixedInterestRate_label_en-US" xlink:label="lab_us-gaap_DerivativeFixedInterestRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative, Fixed Interest Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeFixedInterestRate" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeFixedInterestRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeFixedInterestRate" xlink:to="lab_us-gaap_DerivativeFixedInterestRate" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries_019e6638-c590-7ebe-9798-ce45ce14fdc0_terseLabel_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of industries</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries_label_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Number Of Industries</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries_documentation_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Number Of Industries</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries" xlink:href="obdc-20260630.xsd#obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries" xlink:to="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate_019e6638-c4ec-7bd4-891c-f3137a2891db_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Basis points</link:label>
    <link:label id="lab_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate_label_en-US" xlink:label="lab_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Redemption Price, Percentage, Basis Spread On Variable Rate</link:label>
    <link:label id="lab_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Redemption Price, Percentage, Basis Spread On Variable Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate" xlink:href="obdc-20260630.xsd#obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate" xlink:to="lab_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_JulyTwoThousandTwentySixNotesRedemptionMember_019f83d5-c9ed-7cfb-8245-a1f97feed2a6_terseLabel_en-US" xlink:label="lab_obdc_JulyTwoThousandTwentySixNotesRedemptionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">July 2026 Notes Redemption</link:label>
    <link:label id="lab_obdc_JulyTwoThousandTwentySixNotesRedemptionMember_label_en-US" xlink:label="lab_obdc_JulyTwoThousandTwentySixNotesRedemptionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">July Two Thousand Twenty Six Notes Redemption [Member]</link:label>
    <link:label id="lab_obdc_JulyTwoThousandTwentySixNotesRedemptionMember_documentation_en-US" xlink:label="lab_obdc_JulyTwoThousandTwentySixNotesRedemptionMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">July Two Thousand Twenty Six Notes Redemption</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_JulyTwoThousandTwentySixNotesRedemptionMember" xlink:href="obdc-20260630.xsd#obdc_JulyTwoThousandTwentySixNotesRedemptionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_JulyTwoThousandTwentySixNotesRedemptionMember" xlink:to="lab_obdc_JulyTwoThousandTwentySixNotesRedemptionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXClassBNotesMember_019e6638-c590-7963-9d27-5c1aa11776c8_terseLabel_en-US" xlink:label="lab_obdc_CLOXClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO X, Class B Notes</link:label>
    <link:label id="lab_obdc_CLOXClassBNotesMember_label_en-US" xlink:label="lab_obdc_CLOXClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO X, Class B Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOXClassBNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOXClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO X, Class B Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXClassBNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOXClassBNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXClassBNotesMember" xlink:to="lab_obdc_CLOXClassBNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditFacilityCommitmentFeePercentage_019e6638-c4ec-7702-be97-689572766337_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityCommitmentFeePercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitment fee percentage</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityCommitmentFeePercentage_label_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityCommitmentFeePercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Commitment Fee Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityCommitmentFeePercentage" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityCommitmentFeePercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityCommitmentFeePercentage" xlink:to="lab_us-gaap_LineOfCreditFacilityCommitmentFeePercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnrealizedGainLossOnDerivativesAndCommodityContractsAbstract_019e6638-c590-71c5-8eef-0184da3f7895_terseLabel_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossOnDerivativesAndCommodityContractsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized gain (loss):</link:label>
    <link:label id="lab_us-gaap_UnrealizedGainLossOnDerivativesAndCommodityContractsAbstract_label_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossOnDerivativesAndCommodityContractsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss) on Derivatives and Commodity Contracts [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnrealizedGainLossOnDerivativesAndCommodityContractsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UnrealizedGainLossOnDerivativesAndCommodityContractsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrealizedGainLossOnDerivativesAndCommodityContractsAbstract" xlink:to="lab_us-gaap_UnrealizedGainLossOnDerivativesAndCommodityContractsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CreditFacilityDomain_019e6638-c4ec-78aa-af4d-b9efd2d185bb_terseLabel_en-US" xlink:label="lab_us-gaap_CreditFacilityDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Credit Facility [Domain]</link:label>
    <link:label id="lab_us-gaap_CreditFacilityDomain_label_en-US" xlink:label="lab_us-gaap_CreditFacilityDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Credit Facility [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CreditFacilityDomain" xlink:to="lab_us-gaap_CreditFacilityDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_019e6638-c4ec-7a1c-a91f-09e1e0fcc409_terseLabel_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash Flows from Operating Activities</link:label>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_label_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash Provided by (Used in) Operating Activity, Including Discontinued Operation [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_EquityValuationAssumptionDifferenceFnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_EquityValuationAssumptionDifferenceFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Valuation Assumption Difference, Footnote</link:label>
    <link:label id="lab_ecd_EquityValuationAssumptionDifferenceFnTextBlock_label_en-US" xlink:label="lab_ecd_EquityValuationAssumptionDifferenceFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Valuation Assumption Difference, Footnote [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_EquityValuationAssumptionDifferenceFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_EquityValuationAssumptionDifferenceFnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_EquityValuationAssumptionDifferenceFnTextBlock" xlink:to="lab_ecd_EquityValuationAssumptionDifferenceFnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementMember_019e6638-c4ec-7040-b0f0-1356d8bd1599_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementMember" xlink:href="obdc-20260630.xsd#obdc_InvestmentAdvisoryAgreementMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendsPayableCurrentAndNoncurrent_019e6638-c591-775b-af97-9d762090e43a_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsPayableCurrentAndNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distributions payable</link:label>
    <link:label id="lab_us-gaap_DividendsPayableCurrentAndNoncurrent_label_en-US" xlink:label="lab_us-gaap_DividendsPayableCurrentAndNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsPayableCurrentAndNoncurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendsPayableCurrentAndNoncurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsPayableCurrentAndNoncurrent" xlink:to="lab_us-gaap_DividendsPayableCurrentAndNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock_019e6638-c590-7f87-b7d9-53546b8404de_terseLabel_en-US" xlink:label="lab_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Common Stock Purchase Pursuant to Repurchase Plan</link:label>
    <link:label id="lab_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock_label_en-US" xlink:label="lab_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule Of Common Stock Purchase Pursuant To Repurchase Plan [Table Text Block]</link:label>
    <link:label id="lab_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock_documentation_en-US" xlink:label="lab_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule Of Common Stock Purchase Pursuant To Repurchase Plan</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock" xlink:href="obdc-20260630.xsd#obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock" xlink:to="lab_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis_019e6638-c4ec-7cd6-8f13-6ccc7f9d0a75_terseLabel_en-US" xlink:label="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial Support to Nonconsolidated Legal Entity [Axis]</link:label>
    <link:label id="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis_label_en-US" xlink:label="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Support to Nonconsolidated Legal Entity [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis" xlink:to="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity_019fccb6-26eb-7766-8087-f56d1dc2ff04_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unused Portion</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity_label_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Current Borrowing Capacity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity" xlink:to="lab_us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_019e6638-c590-743f-80e4-7169ac9a9c99_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Changes in the Fair Value of Investments</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherGeneralAndAdministrativeExpense_019e6638-c4eb-7ed8-8327-6eeb97dadbad_terseLabel_en-US" xlink:label="lab_us-gaap_OtherGeneralAndAdministrativeExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other general and administrative</link:label>
    <link:label id="lab_us-gaap_OtherGeneralAndAdministrativeExpense_label_en-US" xlink:label="lab_us-gaap_OtherGeneralAndAdministrativeExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other General and Administrative Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherGeneralAndAdministrativeExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherGeneralAndAdministrativeExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherGeneralAndAdministrativeExpense" xlink:to="lab_us-gaap_OtherGeneralAndAdministrativeExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault_019e6638-c427-7cfb-b554-8ff4a34386db_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase per annum in event of default occurs</link:label>
    <link:label id="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault_label_en-US" xlink:label="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Basis Spread on Variable Rate, Increase Per Annum If Event Of Default</link:label>
    <link:label id="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Basis Spread on Variable Rate, Increase Per Annum If Event Of Default</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault" xlink:href="obdc-20260630.xsd#obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault" xlink:to="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardTmgPredtrmndFlag_terseLabel_en-US" xlink:label="lab_ecd_AwardTmgPredtrmndFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Award Timing Predetermined</link:label>
    <link:label id="lab_ecd_AwardTmgPredtrmndFlag_label_en-US" xlink:label="lab_ecd_AwardTmgPredtrmndFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Timing Predetermined [Flag]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardTmgPredtrmndFlag" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AwardTmgPredtrmndFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardTmgPredtrmndFlag" xlink:to="lab_ecd_AwardTmgPredtrmndFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestRateSwap2024NotesMember_019e6638-c590-70d7-a7fd-4f270b74b138_terseLabel_en-US" xlink:label="lab_obdc_InterestRateSwap2024NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate swaps 2027 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwap2024NotesMember_label_en-US" xlink:label="lab_obdc_InterestRateSwap2024NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2024 Notes [Member]</link:label>
    <link:label id="lab_obdc_InterestRateSwap2024NotesMember_documentation_en-US" xlink:label="lab_obdc_InterestRateSwap2024NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2024 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestRateSwap2024NotesMember" xlink:href="obdc-20260630.xsd#obdc_InterestRateSwap2024NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestRateSwap2024NotesMember" xlink:to="lab_obdc_InterestRateSwap2024NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIMember_019e6638-c4ec-7b40-a66e-1f5b33664123_terseLabel_en-US" xlink:label="lab_obdc_CLOIIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I</link:label>
    <link:label id="lab_obdc_CLOIIMember_label_en-US" xlink:label="lab_obdc_CLOIIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO II [Member]</link:label>
    <link:label id="lab_obdc_CLOIIMember_documentation_en-US" xlink:label="lab_obdc_CLOIIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO II</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIMember" xlink:href="obdc-20260630.xsd#obdc_CLOIIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIMember" xlink:to="lab_obdc_CLOIIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AdjToPeoCompFnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_AdjToPeoCompFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Adjustment To PEO Compensation, Footnote</link:label>
    <link:label id="lab_ecd_AdjToPeoCompFnTextBlock_label_en-US" xlink:label="lab_ecd_AdjToPeoCompFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustment To PEO Compensation, Footnote [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AdjToPeoCompFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AdjToPeoCompFnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AdjToPeoCompFnTextBlock" xlink:to="lab_ecd_AdjToPeoCompFnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueInputsLevel1Member_019e6638-c4ec-7cc6-ba4f-6514150e7e39_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel1Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Level 1</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel1Member_019e6638-c4ec-7aa4-a9db-d3d7260f46b4_verboseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel1Member" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Level 1</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel1Member_label_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel1Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Inputs, Level 1 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel1Member" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInputsLevel1Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInputsLevel1Member" xlink:to="lab_us-gaap_FairValueInputsLevel1Member" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXClassARNotesMember_019e6638-c591-7b69-bae8-55e484bae8ad_terseLabel_en-US" xlink:label="lab_obdc_CLOXClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO X, Class A-R Notes</link:label>
    <link:label id="lab_obdc_CLOXClassARNotesMember_label_en-US" xlink:label="lab_obdc_CLOXClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO X, Class A-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOXClassARNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOXClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO X, Class A-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXClassARNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOXClassARNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXClassARNotesMember" xlink:to="lab_obdc_CLOXClassARNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy_019e6638-c590-7aa2-a4f5-7496502b2c09_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments at Fair Value</link:label>
    <link:label id="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy_label_en-US" xlink:label="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value of Financial Instruments, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueOfFinancialInstrumentsPolicy" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueOfFinancialInstrumentsPolicy"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueOfFinancialInstrumentsPolicy" xlink:to="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXClassBRNotesMember_019e6638-c4ec-7c08-8672-13237730ea33_terseLabel_en-US" xlink:label="lab_obdc_CLOXClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO X, Class B-R Notes</link:label>
    <link:label id="lab_obdc_CLOXClassBRNotesMember_label_en-US" xlink:label="lab_obdc_CLOXClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO X, Class B-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOXClassBRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOXClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO X, Class B-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXClassBRNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOXClassBRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXClassBRNotesMember" xlink:to="lab_obdc_CLOXClassBRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashNotHeldInForeignCurrency_019e6638-c4ec-7cbc-bce6-f96abafc1cce_terseLabel_en-US" xlink:label="lab_us-gaap_CashNotHeldInForeignCurrency" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash (restricted cash of $20,399 and $47,448, respectively)</link:label>
    <link:label id="lab_us-gaap_CashNotHeldInForeignCurrency_019e6638-c4ec-7ab9-ae4b-d06152bc2d2a_verboseLabel_en-US" xlink:label="lab_us-gaap_CashNotHeldInForeignCurrency" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Cash</link:label>
    <link:label id="lab_us-gaap_CashNotHeldInForeignCurrency_label_en-US" xlink:label="lab_us-gaap_CashNotHeldInForeignCurrency" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalent, Not Held in Foreign Currency</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashNotHeldInForeignCurrency" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashNotHeldInForeignCurrency"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashNotHeldInForeignCurrency" xlink:to="lab_us-gaap_CashNotHeldInForeignCurrency" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CanadianOvernightRepoRateAverageRateMember_019e6638-c590-7413-a3af-2058c1a774b8_terseLabel_en-US" xlink:label="lab_obdc_CanadianOvernightRepoRateAverageRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CORRA Plus</link:label>
    <link:label id="lab_obdc_CanadianOvernightRepoRateAverageRateMember_label_en-US" xlink:label="lab_obdc_CanadianOvernightRepoRateAverageRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Canadian Overnight Repo Rate Average Rate [Member]</link:label>
    <link:label id="lab_obdc_CanadianOvernightRepoRateAverageRateMember_documentation_en-US" xlink:label="lab_obdc_CanadianOvernightRepoRateAverageRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Canadian Overnight Repo Rate Average Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CanadianOvernightRepoRateAverageRateMember" xlink:href="obdc-20260630.xsd#obdc_CanadianOvernightRepoRateAverageRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CanadianOvernightRepoRateAverageRateMember" xlink:to="lab_obdc_CanadianOvernightRepoRateAverageRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EquityCommitmentToOwlHPFinanceMember_019e6638-c4ec-7ba2-b622-4b96f89611e5_terseLabel_en-US" xlink:label="lab_obdc_EquityCommitmentToOwlHPFinanceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Commitment To Owl-HP Finance</link:label>
    <link:label id="lab_obdc_EquityCommitmentToOwlHPFinanceMember_label_en-US" xlink:label="lab_obdc_EquityCommitmentToOwlHPFinanceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Commitment To Owl-HP Finance [Member]</link:label>
    <link:label id="lab_obdc_EquityCommitmentToOwlHPFinanceMember_documentation_en-US" xlink:label="lab_obdc_EquityCommitmentToOwlHPFinanceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Commitment To Owl-HP Finance</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EquityCommitmentToOwlHPFinanceMember" xlink:href="obdc-20260630.xsd#obdc_EquityCommitmentToOwlHPFinanceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EquityCommitmentToOwlHPFinanceMember" xlink:to="lab_obdc_EquityCommitmentToOwlHPFinanceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1_019e6638-c591-72d3-a9b2-01e2abcfd3a9_terseLabel_en-US" xlink:label="lab_us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized (gain) loss on effective interest rate swaps and hedged items included in interest expense</link:label>
    <link:label id="lab_us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1_label_en-US" xlink:label="lab_us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Change in Unrealized Gain (Loss) on Hedged Item in Fair Value Hedge</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1" xlink:to="lab_us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BlueOwlCreditSLFLLCMember_019e6638-c590-74b1-aaaf-d356304fe15f_terseLabel_en-US" xlink:label="lab_obdc_BlueOwlCreditSLFLLCMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blue Owl Credit SLF LLC</link:label>
    <link:label id="lab_obdc_BlueOwlCreditSLFLLCMember_label_en-US" xlink:label="lab_obdc_BlueOwlCreditSLFLLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blue Owl Credit SLF LLC [Member]</link:label>
    <link:label id="lab_obdc_BlueOwlCreditSLFLLCMember_documentation_en-US" xlink:label="lab_obdc_BlueOwlCreditSLFLLCMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blue Owl Credit SLF LLC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BlueOwlCreditSLFLLCMember" xlink:href="obdc-20260630.xsd#obdc_BlueOwlCreditSLFLLCMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BlueOwlCreditSLFLLCMember" xlink:to="lab_obdc_BlueOwlCreditSLFLLCMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm_019e6638-c590-7dab-9121-0a2278b699dc_terseLabel_en-US" xlink:label="lab_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Written notice for contract termination, term</link:label>
    <link:label id="lab_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm_label_en-US" xlink:label="lab_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction, Written Notice For Contract Termination, Term</link:label>
    <link:label id="lab_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm_documentation_en-US" xlink:label="lab_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Related Party Transaction, Written Notice For Contract Termination, Term</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm" xlink:href="obdc-20260630.xsd#obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm" xlink:to="lab_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermDebtFairValue_019e6638-c4eb-7b5d-95e6-e4abb36f05c0_terseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebtFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Carrying Value</link:label>
    <link:label id="lab_us-gaap_LongTermDebtFairValue_label_en-US" xlink:label="lab_us-gaap_LongTermDebtFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongTermDebtFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermDebtFairValue" xlink:to="lab_us-gaap_LongTermDebtFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConcentrationRiskTypeDomain_019e6638-c427-7b34-9bc8-b4fc83919c7f_terseLabel_en-US" xlink:label="lab_us-gaap_ConcentrationRiskTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Concentration Risk Type [Domain]</link:label>
    <link:label id="lab_us-gaap_ConcentrationRiskTypeDomain_label_en-US" xlink:label="lab_us-gaap_ConcentrationRiskTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Concentration Risk Type [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConcentrationRiskTypeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConcentrationRiskTypeDomain" xlink:to="lab_us-gaap_ConcentrationRiskTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes_019e6638-c590-714b-ac90-26a300b61388_terseLabel_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transfers between investment types</link:label>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes_label_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers Between Investment Types</link:label>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes_documentation_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers Between Investment Types</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes" xlink:href="obdc-20260630.xsd#obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes" xlink:to="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXRefinancingAdditionalPreferredSharesMember_019e6638-c428-70ee-bbd4-a4c74b3c86b7_terseLabel_en-US" xlink:label="lab_obdc_CLOXRefinancingAdditionalPreferredSharesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO X, Refinancing Additional Preferred Shares</link:label>
    <link:label id="lab_obdc_CLOXRefinancingAdditionalPreferredSharesMember_label_en-US" xlink:label="lab_obdc_CLOXRefinancingAdditionalPreferredSharesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO X, Refinancing Additional Preferred Shares [Member]</link:label>
    <link:label id="lab_obdc_CLOXRefinancingAdditionalPreferredSharesMember_documentation_en-US" xlink:label="lab_obdc_CLOXRefinancingAdditionalPreferredSharesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO X, Refinancing Additional Preferred Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXRefinancingAdditionalPreferredSharesMember" xlink:href="obdc-20260630.xsd#obdc_CLOXRefinancingAdditionalPreferredSharesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXRefinancingAdditionalPreferredSharesMember" xlink:to="lab_obdc_CLOXRefinancingAdditionalPreferredSharesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueDisclosuresAbstract_label_en-US" xlink:label="lab_us-gaap_FairValueDisclosuresAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Disclosures [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract" xlink:to="lab_us-gaap_FairValueDisclosuresAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_019e6638-c591-75d5-a687-963af9138b03_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net assets acquired</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_019e6638-c591-744b-9fe6-f252cdf4011b_totalLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net assets acquired</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Asset Acquired to Liability Assumed, Excess (Less), and Goodwill</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet"/>
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    <link:label id="lab_obdc_EquityCommitmentToFifthSeasonMember_019e6638-c4eb-74c1-96ca-56d9c6e949d2_terseLabel_en-US" xlink:label="lab_obdc_EquityCommitmentToFifthSeasonMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Commitment To Fifth Season</link:label>
    <link:label id="lab_obdc_EquityCommitmentToFifthSeasonMember_label_en-US" xlink:label="lab_obdc_EquityCommitmentToFifthSeasonMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Commitment To Fifth Season [Member]</link:label>
    <link:label id="lab_obdc_EquityCommitmentToFifthSeasonMember_documentation_en-US" xlink:label="lab_obdc_EquityCommitmentToFifthSeasonMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Commitment To Fifth Season</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EquityCommitmentToFifthSeasonMember" xlink:href="obdc-20260630.xsd#obdc_EquityCommitmentToFifthSeasonMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EquityCommitmentToFifthSeasonMember" xlink:to="lab_obdc_EquityCommitmentToFifthSeasonMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentNameDomain_019e6638-c590-7b97-bb88-3223dcac047d_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentNameDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Instrument, Name [Domain]</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentNameDomain_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentNameDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Name [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentNameDomain" xlink:to="lab_us-gaap_DebtInstrumentNameDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TwoThousandTwentySixNotesMember_019e6638-c4ec-7efe-b9ac-be43fda28343_terseLabel_en-US" xlink:label="lab_obdc_TwoThousandTwentySixNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2026 Notes</link:label>
    <link:label id="lab_obdc_TwoThousandTwentySixNotesMember_label_en-US" xlink:label="lab_obdc_TwoThousandTwentySixNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Six Notes [Member]</link:label>
    <link:label id="lab_obdc_TwoThousandTwentySixNotesMember_documentation_en-US" xlink:label="lab_obdc_TwoThousandTwentySixNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Six Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TwoThousandTwentySixNotesMember" xlink:href="obdc-20260630.xsd#obdc_TwoThousandTwentySixNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TwoThousandTwentySixNotesMember" xlink:to="lab_obdc_TwoThousandTwentySixNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsOfDividendsCommonStock_019e6638-c591-75e0-9bdc-2c69142745a2_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsOfDividendsCommonStock" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Cash distributions paid to shareholders</link:label>
    <link:label id="lab_us-gaap_PaymentsOfDividendsCommonStock_label_en-US" xlink:label="lab_us-gaap_PaymentsOfDividendsCommonStock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments of Ordinary Dividends, Common Stock</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDividendsCommonStock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsOfDividendsCommonStock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsOfDividendsCommonStock" xlink:to="lab_us-gaap_PaymentsOfDividendsCommonStock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TrdArrExpirationDate_terseLabel_en-US" xlink:label="lab_ecd_TrdArrExpirationDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Expiration Date</link:label>
    <link:label id="lab_ecd_TrdArrExpirationDate_label_en-US" xlink:label="lab_ecd_TrdArrExpirationDate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangement Expiration Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TrdArrExpirationDate" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_TrdArrExpirationDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TrdArrExpirationDate" xlink:to="lab_ecd_TrdArrExpirationDate" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVClassC2NotesMember_019e6638-c4eb-71c1-9a69-081637bfe88e_terseLabel_en-US" xlink:label="lab_obdc_CLOVClassC2NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V, Class C-2 Notes</link:label>
    <link:label id="lab_obdc_CLOVClassC2NotesMember_label_en-US" xlink:label="lab_obdc_CLOVClassC2NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V, Class C-2 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVClassC2NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVClassC2NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V, Class C-2 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVClassC2NotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOVClassC2NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVClassC2NotesMember" xlink:to="lab_obdc_CLOVClassC2NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVClassB2NotesMember_019e6638-c427-7adf-bf9b-0f2b88c8a39a_terseLabel_en-US" xlink:label="lab_obdc_CLOVClassB2NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V, Class B-2 Notes</link:label>
    <link:label id="lab_obdc_CLOVClassB2NotesMember_label_en-US" xlink:label="lab_obdc_CLOVClassB2NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V, Class B-2 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVClassB2NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVClassB2NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V, Class B-2 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVClassB2NotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOVClassB2NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVClassB2NotesMember" xlink:to="lab_obdc_CLOVClassB2NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RestrictedCashAndCashEquivalents_019e6638-c590-7efe-a2e0-4f72f9aa3b43_terseLabel_en-US" xlink:label="lab_us-gaap_RestrictedCashAndCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restricted cash</link:label>
    <link:label id="lab_us-gaap_RestrictedCashAndCashEquivalents_label_en-US" xlink:label="lab_us-gaap_RestrictedCashAndCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restricted Cash and Cash Equivalent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalents" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RestrictedCashAndCashEquivalents"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RestrictedCashAndCashEquivalents" xlink:to="lab_us-gaap_RestrictedCashAndCashEquivalents" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EquityCommitmentToLSIFinancingLLCMember_019e6638-c4ec-7886-b20c-6b65b2acb517_terseLabel_en-US" xlink:label="lab_obdc_EquityCommitmentToLSIFinancingLLCMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Commitment To LSI Financing LLC</link:label>
    <link:label id="lab_obdc_EquityCommitmentToLSIFinancingLLCMember_label_en-US" xlink:label="lab_obdc_EquityCommitmentToLSIFinancingLLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Commitment To LSI Financing LLC [Member]</link:label>
    <link:label id="lab_obdc_EquityCommitmentToLSIFinancingLLCMember_documentation_en-US" xlink:label="lab_obdc_EquityCommitmentToLSIFinancingLLCMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Commitment To LSI Financing LLC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EquityCommitmentToLSIFinancingLLCMember" xlink:href="obdc-20260630.xsd#obdc_EquityCommitmentToLSIFinancingLLCMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EquityCommitmentToLSIFinancingLLCMember" xlink:to="lab_obdc_EquityCommitmentToLSIFinancingLLCMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsFairValueDisclosure_019e6638-c4ec-7018-ab35-5050dcc7466a_terseLabel_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash (including restricted and foreign cash)</link:label>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsFairValueDisclosure_label_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalents, Fair Value Disclosure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsFairValueDisclosure"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:to="lab_us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_AffiliatedEntityMember_019e6638-c591-72f5-9164-307a892c23ea_terseLabel_en-US" xlink:label="lab_srt_AffiliatedEntityMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Affiliated entity</link:label>
    <link:label id="lab_srt_AffiliatedEntityMember_label_en-US" xlink:label="lab_srt_AffiliatedEntityMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Affiliated Entity [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_AffiliatedEntityMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_AffiliatedEntityMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_AffiliatedEntityMember" xlink:to="lab_srt_AffiliatedEntityMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_AdministrationAgreementMember_019e6638-c427-71d1-ba1d-563ebce1b55e_terseLabel_en-US" xlink:label="lab_obdc_AdministrationAgreementMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Administration Agreement</link:label>
    <link:label id="lab_obdc_AdministrationAgreementMember_label_en-US" xlink:label="lab_obdc_AdministrationAgreementMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Administration Agreement [Member]</link:label>
    <link:label id="lab_obdc_AdministrationAgreementMember_documentation_en-US" xlink:label="lab_obdc_AdministrationAgreementMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Administration Agreement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_AdministrationAgreementMember" xlink:href="obdc-20260630.xsd#obdc_AdministrationAgreementMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_AdministrationAgreementMember" xlink:to="lab_obdc_AdministrationAgreementMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConsumerSectorMember_019e6638-c590-76f7-a3e9-6c4eaa25345a_terseLabel_en-US" xlink:label="lab_us-gaap_ConsumerSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Consumer products</link:label>
    <link:label id="lab_us-gaap_ConsumerSectorMember_label_en-US" xlink:label="lab_us-gaap_ConsumerSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Consumer Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConsumerSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConsumerSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConsumerSectorMember" xlink:to="lab_us-gaap_ConsumerSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AggtPnsnAdjsSvcCstMember_terseLabel_en-US" xlink:label="lab_ecd_AggtPnsnAdjsSvcCstMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate Pension Adjustments Service Cost</link:label>
    <link:label id="lab_ecd_AggtPnsnAdjsSvcCstMember_label_en-US" xlink:label="lab_ecd_AggtPnsnAdjsSvcCstMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Aggregate Pension Adjustments Service Cost [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AggtPnsnAdjsSvcCstMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AggtPnsnAdjsSvcCstMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AggtPnsnAdjsSvcCstMember" xlink:to="lab_ecd_AggtPnsnAdjsSvcCstMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeTable_019e6638-c4ec-70d6-94e6-91a68030bcd0_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative [Table]</link:label>
    <link:label id="lab_us-gaap_DerivativeTable_label_en-US" xlink:label="lab_us-gaap_DerivativeTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeTable" xlink:to="lab_us-gaap_DerivativeTable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateComponentThreeLessThanProductMember_019e6638-c4ec-7300-b0b7-a77eccbe183a_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateComponentThreeLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Two, Less Than Product</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentThreeLessThanProductMember_label_en-US" xlink:label="lab_obdc_DebtVariableRateComponentThreeLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Three, Less Than Product [Member]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentThreeLessThanProductMember_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateComponentThreeLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Three, Less Than Product</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateComponentThreeLessThanProductMember" xlink:href="obdc-20260630.xsd#obdc_DebtVariableRateComponentThreeLessThanProductMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateComponentThreeLessThanProductMember" xlink:to="lab_obdc_DebtVariableRateComponentThreeLessThanProductMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfCommonStock_019e6638-c428-787a-8c2f-95f80db6fb49_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Shares issued under the "at the market" offering</link:label>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfCommonStock_label_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from Issuance of Common Stock</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:to="lab_us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MiddleMarketLoansMember_019e6638-c4ec-74c7-8687-70321cb44094_terseLabel_en-US" xlink:label="lab_obdc_MiddleMarketLoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Middle Market Loans</link:label>
    <link:label id="lab_obdc_MiddleMarketLoansMember_label_en-US" xlink:label="lab_obdc_MiddleMarketLoansMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Middle Market Loans [Member]</link:label>
    <link:label id="lab_obdc_MiddleMarketLoansMember_documentation_en-US" xlink:label="lab_obdc_MiddleMarketLoansMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Middle Market Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MiddleMarketLoansMember" xlink:href="obdc-20260630.xsd#obdc_MiddleMarketLoansMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MiddleMarketLoansMember" xlink:to="lab_obdc_MiddleMarketLoansMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax_019e6638-c4ec-7fcb-89f8-229cd6fcf2d4_totalLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net Investment Income (Loss) After Taxes</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax_019e6638-c4ec-71b3-b2d6-13f0b4c1aaa2_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net investment income (loss)</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax_label_en-US" xlink:label="lab_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Income, Operating, after Expense and Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax" xlink:to="lab_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables_019e6638-c427-7855-98b2-30dc7a525da5_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest receivable</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Asset Acquired, Receivable, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CreditSLFMember_019e6638-c4eb-7ab4-98bf-75df8337001f_terseLabel_en-US" xlink:label="lab_obdc_CreditSLFMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Credit SLF</link:label>
    <link:label id="lab_obdc_CreditSLFMember_label_en-US" xlink:label="lab_obdc_CreditSLFMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Credit SLF [Member]</link:label>
    <link:label id="lab_obdc_CreditSLFMember_documentation_en-US" xlink:label="lab_obdc_CreditSLFMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Credit SLF</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CreditSLFMember" xlink:href="obdc-20260630.xsd#obdc_CreditSLFMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CreditSLFMember" xlink:to="lab_obdc_CreditSLFMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentCovenantMinimumNetWorth_019e6638-c428-7fe2-b95a-fa23385b3747_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantMinimumNetWorth" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Minimum net worth</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantMinimumNetWorth_label_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantMinimumNetWorth" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant, Minimum Net Worth</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantMinimumNetWorth_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantMinimumNetWorth" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant, Minimum Net Worth</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentCovenantMinimumNetWorth" xlink:href="obdc-20260630.xsd#obdc_DebtInstrumentCovenantMinimumNetWorth"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentCovenantMinimumNetWorth" xlink:to="lab_obdc_DebtInstrumentCovenantMinimumNetWorth" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionAxis_019e6638-c4ec-764e-8e1d-67399573f3fa_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Axis]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionAxis_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyTransactionAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionAxis" xlink:to="lab_us-gaap_RelatedPartyTransactionAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTaxAbstract_019e6638-c590-754e-93d2-09a7c787cdc3_verboseLabel_en-US" xlink:label="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTaxAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Net Realized and Change in Unrealized Gain (Loss)</link:label>
    <link:label id="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTaxAbstract_label_en-US" xlink:label="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTaxAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gain (Loss), Investment and Derivative, Operating, and Foreign Currency Transaction, after Tax [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTaxAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTaxAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTaxAbstract" xlink:to="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTaxAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember_019e6638-c591-7a9e-88c3-ad9c07367307_terseLabel_en-US" xlink:label="lab_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment, non- affiliated issuer, noncontrolled</link:label>
    <link:label id="lab_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember_label_en-US" xlink:label="lab_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Non- Affiliated Issuer, Noncontrolled [Member]</link:label>
    <link:label id="lab_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember_documentation_en-US" xlink:label="lab_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment, Non- Affiliated Issuer, Noncontrolled</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember" xlink:href="obdc-20260630.xsd#obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember" xlink:to="lab_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestRateSwapMember_019e6638-c590-76ad-bb2b-4591fb8fa472_terseLabel_en-US" xlink:label="lab_us-gaap_InterestRateSwapMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps</link:label>
    <link:label id="lab_us-gaap_InterestRateSwapMember_label_en-US" xlink:label="lab_us-gaap_InterestRateSwapMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swap [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestRateSwapMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestRateSwapMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestRateSwapMember" xlink:to="lab_us-gaap_InterestRateSwapMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtDisclosureTextBlock_019e6638-c4ec-75a0-bf0e-6800f83ee820_terseLabel_en-US" xlink:label="lab_us-gaap_DebtDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt</link:label>
    <link:label id="lab_us-gaap_DebtDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_DebtDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtDisclosureTextBlock" xlink:to="lab_us-gaap_DebtDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DeferredFinanceCostsNet_019e6638-c4ec-7d96-b0e7-c18ec8f364e2_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredFinanceCostsNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unamortized debt issuance costs</link:label>
    <link:label id="lab_us-gaap_DeferredFinanceCostsNet_019e6638-c4ec-7590-91d2-c977195381ee_negatedLabel_en-US" xlink:label="lab_us-gaap_DeferredFinanceCostsNet" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Debt Issuance Costs</link:label>
    <link:label id="lab_us-gaap_DeferredFinanceCostsNet_label_en-US" xlink:label="lab_us-gaap_DeferredFinanceCostsNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Issuance Costs, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredFinanceCostsNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredFinanceCostsNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredFinanceCostsNet" xlink:to="lab_us-gaap_DeferredFinanceCostsNet" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MergersAcquisitionsAndDispositionsDisclosuresTextBlock_019e6638-c4ec-76bb-bde1-db9099285690_terseLabel_en-US" xlink:label="lab_us-gaap_MergersAcquisitionsAndDispositionsDisclosuresTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Merger with Blue Owl Capital Corporation III</link:label>
    <link:label id="lab_us-gaap_MergersAcquisitionsAndDispositionsDisclosuresTextBlock_label_en-US" xlink:label="lab_us-gaap_MergersAcquisitionsAndDispositionsDisclosuresTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Mergers, Acquisitions and Dispositions Disclosures [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MergersAcquisitionsAndDispositionsDisclosuresTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MergersAcquisitionsAndDispositionsDisclosuresTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MergersAcquisitionsAndDispositionsDisclosuresTextBlock" xlink:to="lab_us-gaap_MergersAcquisitionsAndDispositionsDisclosuresTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PeoActuallyPaidCompAmt_terseLabel_en-US" xlink:label="lab_ecd_PeoActuallyPaidCompAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">PEO Actually Paid Compensation Amount</link:label>
    <link:label id="lab_ecd_PeoActuallyPaidCompAmt_label_en-US" xlink:label="lab_ecd_PeoActuallyPaidCompAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">PEO Actually Paid Compensation Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PeoActuallyPaidCompAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_PeoActuallyPaidCompAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PeoActuallyPaidCompAmt" xlink:to="lab_ecd_PeoActuallyPaidCompAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SecuredDebtMember_019e6638-c591-71e2-942b-38f64a1f53fd_verboseLabel_en-US" xlink:label="lab_us-gaap_SecuredDebtMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Secured debt</link:label>
    <link:label id="lab_us-gaap_SecuredDebtMember_019e6638-c591-7b8c-a47a-a11adf3e8eb5_terseLabel_en-US" xlink:label="lab_us-gaap_SecuredDebtMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Secured Debt</link:label>
    <link:label id="lab_us-gaap_SecuredDebtMember_label_en-US" xlink:label="lab_us-gaap_SecuredDebtMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Secured Debt [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SecuredDebtMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SecuredDebtMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SecuredDebtMember" xlink:to="lab_us-gaap_SecuredDebtMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Asset Acquisition, Transaction between Entities under Common Control, and Joint Venture Formation [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationAndAssetAcquisitionAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract" xlink:to="lab_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive_019e6638-c590-7255-b34b-dc92b29b62cc_terseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">After 5 years</link:label>
    <link:label id="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive_label_en-US" xlink:label="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Maturity, after Year Five</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive" xlink:to="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ThreeMonthsBBSYMember_019e6638-c4ec-7387-b1bd-75bdc0b96dda_terseLabel_en-US" xlink:label="lab_obdc_ThreeMonthsBBSYMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject to 3 month BBSY</link:label>
    <link:label id="lab_obdc_ThreeMonthsBBSYMember_label_en-US" xlink:label="lab_obdc_ThreeMonthsBBSYMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Three Months BBSY [Member]</link:label>
    <link:label id="lab_obdc_ThreeMonthsBBSYMember_documentation_en-US" xlink:label="lab_obdc_ThreeMonthsBBSYMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Three Months BBSY</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ThreeMonthsBBSYMember" xlink:href="obdc-20260630.xsd#obdc_ThreeMonthsBBSYMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ThreeMonthsBBSYMember" xlink:to="lab_obdc_ThreeMonthsBBSYMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage_019e6638-c591-747f-8897-23fc9141d736_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate, stated percentage</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Interest Rate, Stated Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentInterestRateStatedPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:to="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockholdersEquity_019e6638-c4eb-74e9-90c7-3a6c18927390_totalLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Net Assets</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_019e6638-c4eb-781e-b8e1-e08f1fbf49b0_periodStartLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Net Assets, at beginning of period</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_019e6638-c4eb-7365-a286-241b9cbf70f1_periodEndLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Net Assets, at End of Period</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_019e6638-c428-7b63-bfac-beab3ead62f2_netLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Total Credit SLF Members&#8217; Equity</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_019e6638-c428-7cdc-b31c-bb4373b16abd_verboseLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Net assets, end of period</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_label_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity, Attributable to Parent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockholdersEquity" xlink:to="lab_us-gaap_StockholdersEquity" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets_019e6638-c591-7117-948e-35a0303cd300_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other assets</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Asset Acquired, Other Asset, Noncurrent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets"/>
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    <link:label id="lab_obdc_LongTermDebtMaturityYearOneToThree_019e6638-c4ec-7505-95eb-4b2b1ff2ac2d_terseLabel_en-US" xlink:label="lab_obdc_LongTermDebtMaturityYearOneToThree" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">1-3 years</link:label>
    <link:label id="lab_obdc_LongTermDebtMaturityYearOneToThree_label_en-US" xlink:label="lab_obdc_LongTermDebtMaturityYearOneToThree" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long Term Debt Maturity Year One To Three</link:label>
    <link:label id="lab_obdc_LongTermDebtMaturityYearOneToThree_documentation_en-US" xlink:label="lab_obdc_LongTermDebtMaturityYearOneToThree" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Long Term Debt Maturity Year One To Three</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_LongTermDebtMaturityYearOneToThree" xlink:href="obdc-20260630.xsd#obdc_LongTermDebtMaturityYearOneToThree"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_LongTermDebtMaturityYearOneToThree" xlink:to="lab_obdc_LongTermDebtMaturityYearOneToThree" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncentiveFeePayable_019e6638-c4eb-7a3b-92f1-7df28c1ae358_terseLabel_en-US" xlink:label="lab_us-gaap_IncentiveFeePayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Incentive fee payable</link:label>
    <link:label id="lab_us-gaap_IncentiveFeePayable_label_en-US" xlink:label="lab_us-gaap_IncentiveFeePayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Incentive Fee Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncentiveFeePayable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncentiveFeePayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncentiveFeePayable" xlink:to="lab_us-gaap_IncentiveFeePayable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DeutscheBankAGMember_019e6638-c590-7186-bcd2-6990c9bb9adf_terseLabel_en-US" xlink:label="lab_obdc_DeutscheBankAGMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deutsche Bank AG</link:label>
    <link:label id="lab_obdc_DeutscheBankAGMember_label_en-US" xlink:label="lab_obdc_DeutscheBankAGMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deutsche Bank AG [Member]</link:label>
    <link:label id="lab_obdc_DeutscheBankAGMember_documentation_en-US" xlink:label="lab_obdc_DeutscheBankAGMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Deutsche Bank AG</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DeutscheBankAGMember" xlink:href="obdc-20260630.xsd#obdc_DeutscheBankAGMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DeutscheBankAGMember" xlink:to="lab_obdc_DeutscheBankAGMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetsAbstract_019e6638-c427-7590-85c3-ee25d3e1495b_verboseLabel_en-US" xlink:label="lab_us-gaap_AssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Assets</link:label>
    <link:label id="lab_us-gaap_AssetsAbstract_label_en-US" xlink:label="lab_us-gaap_AssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Assets [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AssetsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsAbstract" xlink:to="lab_us-gaap_AssetsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MeasurementInputEbitdaMultipleMember_019e6638-c4ec-7e31-9d55-641995fb9c4b_terseLabel_en-US" xlink:label="lab_us-gaap_MeasurementInputEbitdaMultipleMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EBITDA Multiple</link:label>
    <link:label id="lab_us-gaap_MeasurementInputEbitdaMultipleMember_label_en-US" xlink:label="lab_us-gaap_MeasurementInputEbitdaMultipleMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, EBITDA Multiple [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputEbitdaMultipleMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MeasurementInputEbitdaMultipleMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MeasurementInputEbitdaMultipleMember" xlink:to="lab_us-gaap_MeasurementInputEbitdaMultipleMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued_019e6638-c427-74cd-9350-53c6e46207c9_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate of shares in company (in shares)</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Consideration Transferred, Equity Interest, Share Issued, Number of Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued" xlink:to="lab_us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_NumberOfInvestmentPlatforms_019e6638-c4ec-741b-bcfe-3051d4944f92_terseLabel_en-US" xlink:label="lab_obdc_NumberOfInvestmentPlatforms" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of investment platforms</link:label>
    <link:label id="lab_obdc_NumberOfInvestmentPlatforms_label_en-US" xlink:label="lab_obdc_NumberOfInvestmentPlatforms" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of Investment Platforms</link:label>
    <link:label id="lab_obdc_NumberOfInvestmentPlatforms_documentation_en-US" xlink:label="lab_obdc_NumberOfInvestmentPlatforms" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number of Investment Platforms</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_NumberOfInvestmentPlatforms" xlink:href="obdc-20260630.xsd#obdc_NumberOfInvestmentPlatforms"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_NumberOfInvestmentPlatforms" xlink:to="lab_obdc_NumberOfInvestmentPlatforms" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProfessionalFees_019e6638-c427-7dd8-b995-d34b11f645dd_verboseLabel_en-US" xlink:label="lab_us-gaap_ProfessionalFees" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Professional fees</link:label>
    <link:label id="lab_us-gaap_ProfessionalFees_label_en-US" xlink:label="lab_us-gaap_ProfessionalFees" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Professional Fees</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfessionalFees" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProfessionalFees"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProfessionalFees" xlink:to="lab_us-gaap_ProfessionalFees" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_InsiderTradingPoliciesProcLineItems_label_en-US" xlink:label="lab_ecd_InsiderTradingPoliciesProcLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Insider Trading Policies and Procedures [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_InsiderTradingPoliciesProcLineItems" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_InsiderTradingPoliciesProcLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_InsiderTradingPoliciesProcLineItems" xlink:to="lab_ecd_InsiderTradingPoliciesProcLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIssuerAffiliationDomain_019e6638-c4ec-79fe-8e8d-1e3eea39882a_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIssuerAffiliationDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment, Issuer Affiliation [Domain]</link:label>
    <link:label id="lab_us-gaap_InvestmentIssuerAffiliationDomain_label_en-US" xlink:label="lab_us-gaap_InvestmentIssuerAffiliationDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Issuer Affiliation [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIssuerAffiliationDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentIssuerAffiliationDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIssuerAffiliationDomain" xlink:to="lab_us-gaap_InvestmentIssuerAffiliationDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems_019e6638-c591-754b-bc37-f5336dc2d338_negatedTerseLabel_en-US" xlink:label="lab_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized (gain) loss on effective interest rate swaps and hedged items included in interest expense</link:label>
    <link:label id="lab_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems_label_en-US" xlink:label="lab_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss) On Derivatives And Hedged Items</link:label>
    <link:label id="lab_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems_documentation_en-US" xlink:label="lab_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss) On Derivatives And Hedged Items</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems" xlink:href="obdc-20260630.xsd#obdc_UnrealizedGainLossOnDerivativesAndHedgedItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems" xlink:to="lab_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NumberOfOperatingSegments_019e6638-c427-793c-9cfb-8b557d08c64f_terseLabel_en-US" xlink:label="lab_us-gaap_NumberOfOperatingSegments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of operating segments</link:label>
    <link:label id="lab_us-gaap_NumberOfOperatingSegments_label_en-US" xlink:label="lab_us-gaap_NumberOfOperatingSegments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of Operating Segments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NumberOfOperatingSegments" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NumberOfOperatingSegments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NumberOfOperatingSegments" xlink:to="lab_us-gaap_NumberOfOperatingSegments" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityCentralIndexKey_019e6638-c4ec-74ca-8d49-5105e7f7ff3a_terseLabel_en-US" xlink:label="lab_dei_EntityCentralIndexKey" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Central Index Key</link:label>
    <link:label id="lab_dei_EntityCentralIndexKey_label_en-US" xlink:label="lab_dei_EntityCentralIndexKey" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Central Index Key</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityCentralIndexKey"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityCentralIndexKey" xlink:to="lab_dei_EntityCentralIndexKey" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestRateSwap2030NotesMember_019e6638-c590-7cf0-94b3-67016d2096da_terseLabel_en-US" xlink:label="lab_obdc_InterestRateSwap2030NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest Rate Swap 2030 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwap2030NotesMember_label_en-US" xlink:label="lab_obdc_InterestRateSwap2030NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2030 Notes [Member]</link:label>
    <link:label id="lab_obdc_InterestRateSwap2030NotesMember_documentation_en-US" xlink:label="lab_obdc_InterestRateSwap2030NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2030 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestRateSwap2030NotesMember" xlink:href="obdc-20260630.xsd#obdc_InterestRateSwap2030NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestRateSwap2030NotesMember" xlink:to="lab_obdc_InterestRateSwap2030NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquityAbstract_label_en-US" xlink:label="lab_us-gaap_EquityAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquityAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityAbstract" xlink:to="lab_us-gaap_EquityAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_DvddsOrOthrErngsPdOnEqtyAwrdsNtOthrwsRflctdInTtlCompForCvrdYrMember_terseLabel_en-US" xlink:label="lab_ecd_DvddsOrOthrErngsPdOnEqtyAwrdsNtOthrwsRflctdInTtlCompForCvrdYrMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividends or Other Earnings Paid on Equity Awards not Otherwise Reflected in Total Compensation for Covered Year</link:label>
    <link:label id="lab_ecd_DvddsOrOthrErngsPdOnEqtyAwrdsNtOthrwsRflctdInTtlCompForCvrdYrMember_label_en-US" xlink:label="lab_ecd_DvddsOrOthrErngsPdOnEqtyAwrdsNtOthrwsRflctdInTtlCompForCvrdYrMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends or Other Earnings Paid on Equity Awards not Otherwise Reflected in Total Compensation for Covered Year [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_DvddsOrOthrErngsPdOnEqtyAwrdsNtOthrwsRflctdInTtlCompForCvrdYrMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_DvddsOrOthrErngsPdOnEqtyAwrdsNtOthrwsRflctdInTtlCompForCvrdYrMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_DvddsOrOthrErngsPdOnEqtyAwrdsNtOthrwsRflctdInTtlCompForCvrdYrMember" xlink:to="lab_ecd_DvddsOrOthrErngsPdOnEqtyAwrdsNtOthrwsRflctdInTtlCompForCvrdYrMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts_019e6638-c4ec-7a0f-98fb-f0bfaa8f61ed_negatedTerseLabel_en-US" xlink:label="lab_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized (gain) loss on foreign currency forward contracts</link:label>
    <link:label id="lab_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts_label_en-US" xlink:label="lab_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Foreign Currency Forward Contracts</link:label>
    <link:label id="lab_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts_documentation_en-US" xlink:label="lab_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Foreign Currency Forward Contracts</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts" xlink:href="obdc-20260630.xsd#obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts" xlink:to="lab_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyDistributionToShareholdersAbstract_019e6638-c427-7a34-8be4-a8287684da0d_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyDistributionToShareholdersAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distributions</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyDistributionToShareholdersAbstract_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyDistributionToShareholdersAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Distribution to Shareholders [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyDistributionToShareholdersAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyDistributionToShareholdersAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyDistributionToShareholdersAbstract" xlink:to="lab_us-gaap_InvestmentCompanyDistributionToShareholdersAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_OwnershipAxis_019e6638-c591-7489-9b14-ebd124e04b4f_terseLabel_en-US" xlink:label="lab_srt_OwnershipAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Ownership [Axis]</link:label>
    <link:label id="lab_srt_OwnershipAxis_label_en-US" xlink:label="lab_srt_OwnershipAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Ownership [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_OwnershipAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_OwnershipAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_OwnershipAxis" xlink:to="lab_srt_OwnershipAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis_019e6638-c590-75e4-a4da-446629e49390_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value Hierarchy and NAV [Axis]</link:label>
    <link:label id="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis_label_en-US" xlink:label="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Hierarchy and NAV [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
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    <link:label id="lab_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock_019e6638-c4ec-7ff2-8956-d27a64d35382_terseLabel_en-US" xlink:label="lab_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Interest And Dividend Income Recognition</link:label>
    <link:label id="lab_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock_label_en-US" xlink:label="lab_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Interest and Dividend Income Recognition [Table Text Block]</link:label>
    <link:label id="lab_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock_documentation_en-US" xlink:label="lab_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule of Interest and Dividend Income Recognition</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock" xlink:to="lab_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock" xlink:type="arc" order="1"/>
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    <link:label id="lab_us-gaap_ScheduleOfInvestmentsLineItems_label_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Investments [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfInvestmentsLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfInvestmentsLineItems"/>
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    <link:label id="lab_obdc_InfrastructureAndEnvironmentalServicesMember_019e6638-c4ec-7e8b-ab98-4126b5603844_terseLabel_en-US" xlink:label="lab_obdc_InfrastructureAndEnvironmentalServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Infrastructure and environmental services</link:label>
    <link:label id="lab_obdc_InfrastructureAndEnvironmentalServicesMember_label_en-US" xlink:label="lab_obdc_InfrastructureAndEnvironmentalServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Infrastructure And Environmental Services [Member]</link:label>
    <link:label id="lab_obdc_InfrastructureAndEnvironmentalServicesMember_documentation_en-US" xlink:label="lab_obdc_InfrastructureAndEnvironmentalServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Infrastructure And Environmental Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InfrastructureAndEnvironmentalServicesMember" xlink:href="obdc-20260630.xsd#obdc_InfrastructureAndEnvironmentalServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InfrastructureAndEnvironmentalServicesMember" xlink:to="lab_obdc_InfrastructureAndEnvironmentalServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare_019e6638-c591-7774-96a9-d1d42d1b1ac1_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net realized and unrealized gain (loss) (in usd per share)</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Gain (Loss) on Investment, Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare"/>
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    <link:label id="lab_us-gaap_DesignatedAsHedgingInstrumentMember_label_en-US" xlink:label="lab_us-gaap_DesignatedAsHedgingInstrumentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Designated as Hedging Instrument [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DesignatedAsHedgingInstrumentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DesignatedAsHedgingInstrumentMember"/>
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    <link:label id="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax_019e6638-c591-77a7-91a6-a1b1f7da380b_terseLabel_en-US" xlink:label="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total net realized and unrealized gain (loss)</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax"/>
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    <link:label id="lab_us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss_019e6638-c4eb-7398-94e7-fb00b639b7ec_negatedLabel_en-US" xlink:label="lab_us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized (gain) loss on investments</link:label>
    <link:label id="lab_us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss_label_en-US" xlink:label="lab_us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt and Equity Securities, Unrealized Gain (Loss)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss" xlink:to="lab_us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_019e6638-c591-77fc-b366-947041fd1779_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Basis spread on variable rate</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Basis Spread on Variable Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentBasisSpreadOnVariableRate1"/>
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    <link:label id="lab_obdc_CLOVIIClassB2NotesMember_019e6638-c590-78eb-9ac4-3f31bdf8908b_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassB2NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-2 Notes</link:label>
    <link:label id="lab_obdc_CLOVIIClassB2NotesMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassB2NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-2 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassB2NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassB2NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-2 Notes</link:label>
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    <link:label id="lab_obdc_ORCCFinancingIIILLCMember_019e6638-c4eb-7d32-a508-f7a0ee0a6b47_terseLabel_en-US" xlink:label="lab_obdc_ORCCFinancingIIILLCMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">ORCC Financing III, LLC</link:label>
    <link:label id="lab_obdc_ORCCFinancingIIILLCMember_label_en-US" xlink:label="lab_obdc_ORCCFinancingIIILLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">ORCC Financing III, LLC [Member]</link:label>
    <link:label id="lab_obdc_ORCCFinancingIIILLCMember_documentation_en-US" xlink:label="lab_obdc_ORCCFinancingIIILLCMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">ORCC Financing III, LLC</link:label>
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    <link:label id="lab_us-gaap_VariableRateDomain_019e6638-c4ec-7e57-ab1c-ac86c41baf56_terseLabel_en-US" xlink:label="lab_us-gaap_VariableRateDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Variable Rate [Domain]</link:label>
    <link:label id="lab_us-gaap_VariableRateDomain_label_en-US" xlink:label="lab_us-gaap_VariableRateDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Variable Rate [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableRateDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_VariableRateDomain"/>
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    <link:label id="lab_ecd_AllIndividualsMember_terseLabel_en-US" xlink:label="lab_ecd_AllIndividualsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">All Individuals</link:label>
    <link:label id="lab_ecd_AllIndividualsMember_label_en-US" xlink:label="lab_ecd_AllIndividualsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">All Individuals [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AllIndividualsMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AllIndividualsMember"/>
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    <link:label id="lab_obdc_CLOXClassANotesMember_019e6638-c427-75e9-8b92-40ec21d471c9_terseLabel_en-US" xlink:label="lab_obdc_CLOXClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO X, Class A Notes</link:label>
    <link:label id="lab_obdc_CLOXClassANotesMember_label_en-US" xlink:label="lab_obdc_CLOXClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO X, Class A Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOXClassANotesMember_documentation_en-US" xlink:label="lab_obdc_CLOXClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO X, Class A Notes</link:label>
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    <link:label id="lab_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss_019e6638-c4eb-7fe6-9152-be74bd81559f_terseLabel_en-US" xlink:label="lab_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-controlled, non-affiliated investments</link:label>
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    <link:label id="lab_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss_label_en-US" xlink:label="lab_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt and Equity Securities, Realized Gain (Loss)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtAndEquitySecuritiesRealizedGainLoss"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss" xlink:to="lab_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable_019e6638-c4ec-7761-bd21-56d21ef309aa_verboseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Issuance of shares in connection with the OBDE Mergers</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable_019e6638-c4ec-7d52-911e-326ea4917157_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common stock issued by the Company</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Consideration Transferred, Equity Interest</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable" xlink:to="lab_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_LeisureAndEntertainmentMember_019e6638-c590-77bc-b4b5-73335b547bcd_terseLabel_en-US" xlink:label="lab_obdc_LeisureAndEntertainmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Leisure and entertainment</link:label>
    <link:label id="lab_obdc_LeisureAndEntertainmentMember_label_en-US" xlink:label="lab_obdc_LeisureAndEntertainmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Leisure And Entertainment [Member]</link:label>
    <link:label id="lab_obdc_LeisureAndEntertainmentMember_documentation_en-US" xlink:label="lab_obdc_LeisureAndEntertainmentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Leisure And Entertainment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_LeisureAndEntertainmentMember" xlink:href="obdc-20260630.xsd#obdc_LeisureAndEntertainmentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_LeisureAndEntertainmentMember" xlink:to="lab_obdc_LeisureAndEntertainmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StatementLineItems_019e6638-c4ec-795c-a83c-d91728ff269a_terseLabel_en-US" xlink:label="lab_us-gaap_StatementLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statement [Line Items]</link:label>
    <link:label id="lab_us-gaap_StatementLineItems_label_en-US" xlink:label="lab_us-gaap_StatementLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementLineItems" xlink:to="lab_us-gaap_StatementLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_Assets_019e6638-c427-79bc-a85d-56278afbb217_totalLabel_en-US" xlink:label="lab_us-gaap_Assets" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Assets</link:label>
    <link:label id="lab_us-gaap_Assets_label_en-US" xlink:label="lab_us-gaap_Assets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Assets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_Assets" xlink:to="lab_us-gaap_Assets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestExpenseOperating_019e6638-c4ec-7cad-bb85-72ee31c0b00d_terseLabel_en-US" xlink:label="lab_us-gaap_InterestExpenseOperating" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest expense</link:label>
    <link:label id="lab_us-gaap_InterestExpenseOperating_019e6638-c4ec-7855-b709-a52715c026b0_totalLabel_en-US" xlink:label="lab_us-gaap_InterestExpenseOperating" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Interest Expense</link:label>
    <link:label id="lab_us-gaap_InterestExpenseOperating_label_en-US" xlink:label="lab_us-gaap_InterestExpenseOperating" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Expense, Operating</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseOperating" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseOperating"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestExpenseOperating" xlink:to="lab_us-gaap_InterestExpenseOperating" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue_019e6638-c4ec-77e0-8f25-b928c385df99_terseLabel_en-US" xlink:label="lab_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Sale of stock, value of shares available for issuance</link:label>
    <link:label id="lab_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue_label_en-US" xlink:label="lab_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock, Capital Shares Reserved For Future Issuance, Value</link:label>
    <link:label id="lab_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue_documentation_en-US" xlink:label="lab_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Common Stock, Capital Shares Reserved For Future Issuance, Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue" xlink:href="obdc-20260630.xsd#obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue" xlink:to="lab_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquitySecuritiesByIndustryAxis_019e6638-c4ec-7a08-aba9-a0f9c4cb5446_terseLabel_en-US" xlink:label="lab_us-gaap_EquitySecuritiesByIndustryAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Industry Sector [Axis]</link:label>
    <link:label id="lab_us-gaap_EquitySecuritiesByIndustryAxis_label_en-US" xlink:label="lab_us-gaap_EquitySecuritiesByIndustryAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Industry Sector [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquitySecuritiesByIndustryAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquitySecuritiesByIndustryAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquitySecuritiesByIndustryAxis" xlink:to="lab_us-gaap_EquitySecuritiesByIndustryAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassAL1AndAL2LoansMember_019e6638-c590-7db4-b875-729f967954bd_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassAL1AndAL2LoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1 and A-L2 Loans</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL1AndAL2LoansMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassAL1AndAL2LoansMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1 and A-L2 Loans [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL1AndAL2LoansMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassAL1AndAL2LoansMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1 and A-L2 Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassAL1AndAL2LoansMember" xlink:href="obdc-20260630.xsd#obdc_CLOVIIClassAL1AndAL2LoansMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassAL1AndAL2LoansMember" xlink:to="lab_obdc_CLOVIIClassAL1AndAL2LoansMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ORCCFinancingIILLCMember_019e6638-c4ec-7f3b-bce8-6d5d2a46633a_terseLabel_en-US" xlink:label="lab_obdc_ORCCFinancingIILLCMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">ORCC Financing II, LLC</link:label>
    <link:label id="lab_obdc_ORCCFinancingIILLCMember_label_en-US" xlink:label="lab_obdc_ORCCFinancingIILLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">ORCC Financing II, LLC [Member]</link:label>
    <link:label id="lab_obdc_ORCCFinancingIILLCMember_documentation_en-US" xlink:label="lab_obdc_ORCCFinancingIILLCMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">ORCC Financing II, LLC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ORCCFinancingIILLCMember" xlink:href="obdc-20260630.xsd#obdc_ORCCFinancingIILLCMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ORCCFinancingIILLCMember" xlink:to="lab_obdc_ORCCFinancingIILLCMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_019e6638-c591-7b9d-bedb-9bd1fa29a694_totalLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total liabilities assumed</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Liability Assumed, Liability</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities"/>
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    <link:label id="lab_ecd_PeoMember_terseLabel_en-US" xlink:label="lab_ecd_PeoMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">PEO</link:label>
    <link:label id="lab_ecd_PeoMember_label_en-US" xlink:label="lab_ecd_PeoMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">PEO [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PeoMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_PeoMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PeoMember" xlink:to="lab_ecd_PeoMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtSecuritiesSecondLienMember_019e6638-c590-7085-8def-f77be2d920cb_terseLabel_en-US" xlink:label="lab_obdc_DebtSecuritiesSecondLienMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Second-lien senior secured debt investments</link:label>
    <link:label id="lab_obdc_DebtSecuritiesSecondLienMember_019f1ded-8027-776c-9d72-8a86a992ac6a_verboseLabel_en-US" xlink:label="lab_obdc_DebtSecuritiesSecondLienMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Second-Lien Senior Secured</link:label>
    <link:label id="lab_obdc_DebtSecuritiesSecondLienMember_label_en-US" xlink:label="lab_obdc_DebtSecuritiesSecondLienMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Securities, Second Lien [Member]</link:label>
    <link:label id="lab_obdc_DebtSecuritiesSecondLienMember_documentation_en-US" xlink:label="lab_obdc_DebtSecuritiesSecondLienMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Securities, Second Lien</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtSecuritiesSecondLienMember" xlink:href="obdc-20260630.xsd#obdc_DebtSecuritiesSecondLienMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtSecuritiesSecondLienMember" xlink:to="lab_obdc_DebtSecuritiesSecondLienMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ForgoneRecoveryDueToViolationOfHomeCountryLawAmt_terseLabel_en-US" xlink:label="lab_ecd_ForgoneRecoveryDueToViolationOfHomeCountryLawAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Forgone Recovery due to Violation of Home Country Law, Amount</link:label>
    <link:label id="lab_ecd_ForgoneRecoveryDueToViolationOfHomeCountryLawAmt_label_en-US" xlink:label="lab_ecd_ForgoneRecoveryDueToViolationOfHomeCountryLawAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Forgone Recovery due to Violation of Home Country Law, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ForgoneRecoveryDueToViolationOfHomeCountryLawAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_ForgoneRecoveryDueToViolationOfHomeCountryLawAmt"/>
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    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable_019e6638-c590-7e9e-94e9-b8402e0c9c10_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Payables to affiliates</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Liability Assumed, Accounts Payable, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentThresholdDomain_019e6638-c427-7de3-9c4b-b2be8dfedacf_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentThresholdDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Instrument Threshold [Domain]</link:label>
    <link:label id="lab_obdc_DebtInstrumentThresholdDomain_label_en-US" xlink:label="lab_obdc_DebtInstrumentThresholdDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument Threshold [Domain]</link:label>
    <link:label id="lab_obdc_DebtInstrumentThresholdDomain_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentThresholdDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument Threshold</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentThresholdDomain" xlink:href="obdc-20260630.xsd#obdc_DebtInstrumentThresholdDomain"/>
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    <link:label id="lab_us-gaap_RevolvingCreditFacilityMember_019e6638-c591-71ef-adcf-8d50e9090d3f_terseLabel_en-US" xlink:label="lab_us-gaap_RevolvingCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility</link:label>
    <link:label id="lab_us-gaap_RevolvingCreditFacilityMember_019e6638-c591-73e8-9495-49f10eac9f50_verboseLabel_en-US" xlink:label="lab_us-gaap_RevolvingCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Revolving loan commitments</link:label>
    <link:label id="lab_us-gaap_RevolvingCreditFacilityMember_label_en-US" xlink:label="lab_us-gaap_RevolvingCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevolvingCreditFacilityMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RevolvingCreditFacilityMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RevolvingCreditFacilityMember" xlink:to="lab_us-gaap_RevolvingCreditFacilityMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare_019e6638-c591-78b8-bce9-08647d1492f2_totalLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net increase (decrease) in net assets resulting from operations (in usd per share)</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Investment Income (Loss) from Operations, Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockSharesOutstanding_019e6638-c590-7da9-afaa-2d58126ac7b5_verboseLabel_en-US" xlink:label="lab_us-gaap_CommonStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Common stock, shares outstanding (in shares)</link:label>
    <link:label id="lab_us-gaap_CommonStockSharesOutstanding_019e6638-c590-7998-ba89-25b1f5a113fa_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Shares outstanding, end of period (in shares)</link:label>
    <link:label id="lab_us-gaap_CommonStockSharesOutstanding_label_en-US" xlink:label="lab_us-gaap_CommonStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock, Shares, Outstanding</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockSharesOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockSharesOutstanding" xlink:to="lab_us-gaap_CommonStockSharesOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardTmgDiscLineItems_label_en-US" xlink:label="lab_ecd_AwardTmgDiscLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Timing Disclosures [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardTmgDiscLineItems" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AwardTmgDiscLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardTmgDiscLineItems" xlink:to="lab_ecd_AwardTmgDiscLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_JulyTwoThousandTwentySevenNotesMember_019e6638-c4ec-7165-8edb-d826fc241ee4_terseLabel_en-US" xlink:label="lab_obdc_JulyTwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">July 2027 Notes</link:label>
    <link:label id="lab_obdc_JulyTwoThousandTwentySevenNotesMember_label_en-US" xlink:label="lab_obdc_JulyTwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">July Two Thousand Twenty Seven Notes [Member]</link:label>
    <link:label id="lab_obdc_JulyTwoThousandTwentySevenNotesMember_documentation_en-US" xlink:label="lab_obdc_JulyTwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">July Two Thousand Twenty Seven Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_JulyTwoThousandTwentySevenNotesMember" xlink:href="obdc-20260630.xsd#obdc_JulyTwoThousandTwentySevenNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_JulyTwoThousandTwentySevenNotesMember" xlink:to="lab_obdc_JulyTwoThousandTwentySevenNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EarningsPerShareDiluted_019e6638-c590-7743-916b-eb1613607de3_verboseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareDiluted" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Earnings Per Share - Diluted (in usd per share)</link:label>
    <link:label id="lab_us-gaap_EarningsPerShareDiluted_019e6638-c590-7a3c-9bc0-9b5a679e93bc_terseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareDiluted" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Earnings per common share- diluted (in usd per share)</link:label>
    <link:label id="lab_us-gaap_EarningsPerShareDiluted_label_en-US" xlink:label="lab_us-gaap_EarningsPerShareDiluted" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Earnings Per Share, Diluted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareDiluted" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerShareDiluted"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EarningsPerShareDiluted" xlink:to="lab_us-gaap_EarningsPerShareDiluted" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MeasurementInputRecoveryRateMember_019e6638-c591-79f2-a4f4-9dad59ae2bca_terseLabel_en-US" xlink:label="lab_obdc_MeasurementInputRecoveryRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Recovery Rate</link:label>
    <link:label id="lab_obdc_MeasurementInputRecoveryRateMember_label_en-US" xlink:label="lab_obdc_MeasurementInputRecoveryRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Recovery Rate [Member]</link:label>
    <link:label id="lab_obdc_MeasurementInputRecoveryRateMember_documentation_en-US" xlink:label="lab_obdc_MeasurementInputRecoveryRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input, Recovery Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MeasurementInputRecoveryRateMember" xlink:href="obdc-20260630.xsd#obdc_MeasurementInputRecoveryRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MeasurementInputRecoveryRateMember" xlink:to="lab_obdc_MeasurementInputRecoveryRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_019e6638-c427-7006-a914-eea9a5f29ffd_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">(Increase) decrease in prepaid expenses and other assets</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Prepaid Expense and Other Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" xlink:to="lab_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockRedeemedOrCalledDuringPeriodValue_019e6638-c4ec-7eb8-8578-962f9778dab9_terseLabel_en-US" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Stock redeemed value</link:label>
    <link:label id="lab_us-gaap_StockRedeemedOrCalledDuringPeriodValue_label_en-US" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Redeemed or Called During Period, Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockRedeemedOrCalledDuringPeriodValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockRedeemedOrCalledDuringPeriodValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRedeemedOrCalledDuringPeriodValue" xlink:to="lab_us-gaap_StockRedeemedOrCalledDuringPeriodValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnrealizedGainLossOnInvestments_019e6638-c591-7bd2-a1f7-248573df58a4_totalLabel_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossOnInvestments" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Net Change in Unrealized Gain (Loss)</link:label>
    <link:label id="lab_us-gaap_UnrealizedGainLossOnInvestments_label_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossOnInvestments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss) on Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnrealizedGainLossOnInvestments" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UnrealizedGainLossOnInvestments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrealizedGainLossOnInvestments" xlink:to="lab_us-gaap_UnrealizedGainLossOnInvestments" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncentiveFeeExpense_019e6638-c4ec-7b03-aa8f-29f9961341e8_terseLabel_en-US" xlink:label="lab_us-gaap_IncentiveFeeExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Performance based incentive fees</link:label>
    <link:label id="lab_us-gaap_IncentiveFeeExpense_label_en-US" xlink:label="lab_us-gaap_IncentiveFeeExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Incentive Fee Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncentiveFeeExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncentiveFeeExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncentiveFeeExpense" xlink:to="lab_us-gaap_IncentiveFeeExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CommitmentToAmerginAssetCoMember_019e6638-c4ec-74fe-a7f6-0cb4a2ef9d1a_terseLabel_en-US" xlink:label="lab_obdc_CommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitment To Amergin AssetCo</link:label>
    <link:label id="lab_obdc_CommitmentToAmerginAssetCoMember_label_en-US" xlink:label="lab_obdc_CommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitment To Amergin AssetCo [Member]</link:label>
    <link:label id="lab_obdc_CommitmentToAmerginAssetCoMember_documentation_en-US" xlink:label="lab_obdc_CommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Commitment To Amergin AssetCo</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CommitmentToAmerginAssetCoMember" xlink:href="obdc-20260630.xsd#obdc_CommitmentToAmerginAssetCoMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CommitmentToAmerginAssetCoMember" xlink:to="lab_obdc_CommitmentToAmerginAssetCoMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PreferredStockValueOutstanding_019e6638-c590-7946-8abd-58e1eaca7550_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockValueOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Value of outstanding preferred shares</link:label>
    <link:label id="lab_us-gaap_PreferredStockValueOutstanding_label_en-US" xlink:label="lab_us-gaap_PreferredStockValueOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Preferred Stock, Value, Outstanding</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockValueOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PreferredStockValueOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockValueOutstanding" xlink:to="lab_us-gaap_PreferredStockValueOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestIncomeOperatingPaidInCash_019e6638-c590-7ddc-9fb7-5bb9e2fc5e1c_terseLabel_en-US" xlink:label="lab_us-gaap_InterestIncomeOperatingPaidInCash" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest and PIK Income</link:label>
    <link:label id="lab_us-gaap_InterestIncomeOperatingPaidInCash_label_en-US" xlink:label="lab_us-gaap_InterestIncomeOperatingPaidInCash" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Income, Operating, Paid in Cash</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeOperatingPaidInCash" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeOperatingPaidInCash"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestIncomeOperatingPaidInCash" xlink:to="lab_us-gaap_InterestIncomeOperatingPaidInCash" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_OwnershipDomain_019e6638-c4ec-7b74-874a-3dc445acd927_terseLabel_en-US" xlink:label="lab_srt_OwnershipDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Ownership [Domain]</link:label>
    <link:label id="lab_srt_OwnershipDomain_label_en-US" xlink:label="lab_srt_OwnershipDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Ownership [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_OwnershipDomain" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_OwnershipDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_OwnershipDomain" xlink:to="lab_srt_OwnershipDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets_019e6638-c4ec-72b4-8a89-320a9764fec7_totalLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total assets acquired</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Asset Acquired, Asset</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_019e6638-c4ec-76b9-9aa3-7b32ea2caef6_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amount Available</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_label_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Remaining Borrowing Capacity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity" xlink:to="lab_us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyTotalReturnMarketValue_019e6638-c4ec-76b5-a000-0db51bcd0f76_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyTotalReturnMarketValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total return, based on market value</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyTotalReturnMarketValue_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyTotalReturnMarketValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Total Return, Market Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyTotalReturnMarketValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyTotalReturnMarketValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyTotalReturnMarketValue" xlink:to="lab_us-gaap_InvestmentCompanyTotalReturnMarketValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockRepurchasedDuringPeriodValue_019e6638-c4ec-7fbe-89c1-5059b799a78d_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodValue" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Repurchase of common shares</link:label>
    <link:label id="lab_us-gaap_StockRepurchasedDuringPeriodValue_019e6638-c4ec-7742-a0f8-c607a0725570_verboseLabel_en-US" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodValue" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Approximate Dollar Value of Shares that have been Purchased Under the Plans</link:label>
    <link:label id="lab_us-gaap_StockRepurchasedDuringPeriodValue_label_en-US" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Repurchased During Period, Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockRepurchasedDuringPeriodValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockRepurchasedDuringPeriodValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRepurchasedDuringPeriodValue" xlink:to="lab_us-gaap_StockRepurchasedDuringPeriodValue" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_EqtyAwrdsAdjFnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_EqtyAwrdsAdjFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Awards Adjustments, Footnote</link:label>
    <link:label id="lab_ecd_EqtyAwrdsAdjFnTextBlock_label_en-US" xlink:label="lab_ecd_EqtyAwrdsAdjFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Awards Adjustments, Footnote [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_EqtyAwrdsAdjFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_EqtyAwrdsAdjFnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_EqtyAwrdsAdjFnTextBlock" xlink:to="lab_ecd_EqtyAwrdsAdjFnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInvestmentsSpecialtyFinanceMember_019e6638-c591-7295-b7cb-67c027e1490b_terseLabel_en-US" xlink:label="lab_obdc_DebtInvestmentsSpecialtyFinanceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Specialty Finance</link:label>
    <link:label id="lab_obdc_DebtInvestmentsSpecialtyFinanceMember_label_en-US" xlink:label="lab_obdc_DebtInvestmentsSpecialtyFinanceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Investments Specialty Finance [Member]</link:label>
    <link:label id="lab_obdc_DebtInvestmentsSpecialtyFinanceMember_documentation_en-US" xlink:label="lab_obdc_DebtInvestmentsSpecialtyFinanceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Investments Specialty Finance</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInvestmentsSpecialtyFinanceMember" xlink:href="obdc-20260630.xsd#obdc_DebtInvestmentsSpecialtyFinanceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInvestmentsSpecialtyFinanceMember" xlink:to="lab_obdc_DebtInvestmentsSpecialtyFinanceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_Series2022ANotesMember_019e6638-c591-7e7d-a2d1-2cd69ee5d422_terseLabel_en-US" xlink:label="lab_obdc_Series2022ANotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Series 2022A Notes</link:label>
    <link:label id="lab_obdc_Series2022ANotesMember_label_en-US" xlink:label="lab_obdc_Series2022ANotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Series 2022A Notes [Member]</link:label>
    <link:label id="lab_obdc_Series2022ANotesMember_documentation_en-US" xlink:label="lab_obdc_Series2022ANotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Series 2022A Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_Series2022ANotesMember" xlink:href="obdc-20260630.xsd#obdc_Series2022ANotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_Series2022ANotesMember" xlink:to="lab_obdc_Series2022ANotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable_019e6638-c590-73ba-96e2-8ee933daaa2e_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Business Combination, Pro Forma Information [Table]</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Pro Forma Information [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable"/>
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    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales_019e6638-c590-7c03-bed6-6d7b3957444a_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from investments, net</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Sales</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIssuerMember_019e6638-c591-7325-9846-62c6f27c144b_terseLabel_en-US" xlink:label="lab_obdc_CLOIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I Issuer</link:label>
    <link:label id="lab_obdc_CLOIIssuerMember_label_en-US" xlink:label="lab_obdc_CLOIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOIIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIssuerMember" xlink:href="obdc-20260630.xsd#obdc_CLOIIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIssuerMember" xlink:to="lab_obdc_CLOIIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember_019e6638-c4ec-77f0-9c8f-5065f4cfd1e8_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Management Agreement - Incentive Rate, Quarterly Hurdle Rate</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Quarterly Hurdle Rate [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Quarterly Hurdle Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember" xlink:href="obdc-20260630.xsd#obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiarySummarizedFinancialInformationTableTextBlock_019e6638-c4ec-7be9-92eb-5292c2d32dc7_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiarySummarizedFinancialInformationTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Financial Information</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiarySummarizedFinancialInformationTableTextBlock_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiarySummarizedFinancialInformationTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Nonconsolidated Subsidiary, Summarized Financial Information [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyNonconsolidatedSubsidiarySummarizedFinancialInformationTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyNonconsolidatedSubsidiarySummarizedFinancialInformationTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyNonconsolidatedSubsidiarySummarizedFinancialInformationTableTextBlock" xlink:to="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiarySummarizedFinancialInformationTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage_019e6638-c590-7123-8a75-1be36f7a4b2a_terseLabel_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Weighted average spread percentage</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage_label_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Weighted Average Spread Percentage</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage_documentation_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Weighted Average Spread Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage" xlink:href="obdc-20260630.xsd#obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage" xlink:to="lab_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EquityInvestmentsSpecialtyFinanceMember_019e6638-c590-7729-8c47-e6568b47c12b_terseLabel_en-US" xlink:label="lab_obdc_EquityInvestmentsSpecialtyFinanceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Specialty Finance</link:label>
    <link:label id="lab_obdc_EquityInvestmentsSpecialtyFinanceMember_label_en-US" xlink:label="lab_obdc_EquityInvestmentsSpecialtyFinanceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Investments Specialty Finance [Member]</link:label>
    <link:label id="lab_obdc_EquityInvestmentsSpecialtyFinanceMember_documentation_en-US" xlink:label="lab_obdc_EquityInvestmentsSpecialtyFinanceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Investments Specialty Finance</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EquityInvestmentsSpecialtyFinanceMember" xlink:href="obdc-20260630.xsd#obdc_EquityInvestmentsSpecialtyFinanceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EquityInvestmentsSpecialtyFinanceMember" xlink:to="lab_obdc_EquityInvestmentsSpecialtyFinanceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock_019e6638-c4ec-7aad-a1f8-3bb061d7a12c_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Maturities of Long-Term Debt</link:label>
    <link:label id="lab_us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Maturities of Long-Term Debt [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIClassBNotesMember_019e6638-c427-7cc7-b2fa-9fb2ac5869c6_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO III, Class B Notes</link:label>
    <link:label id="lab_obdc_CLOIIIClassBNotesMember_label_en-US" xlink:label="lab_obdc_CLOIIIClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO III, Class B Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIClassBNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO III, Class B Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIClassBNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIIIClassBNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIClassBNotesMember" xlink:to="lab_obdc_CLOIIIClassBNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid_019e6638-c4ec-7b82-a284-05add116ea01_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of principal amount repaid</link:label>
    <link:label id="lab_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid_label_en-US" xlink:label="lab_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Percentage Of Principal Amount Repaid</link:label>
    <link:label id="lab_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Percentage Of Principal Amount Repaid</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid" xlink:href="obdc-20260630.xsd#obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid" xlink:to="lab_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsidiarySaleOfStockAxis_019e6638-c4eb-7a74-992c-29eefa972b4a_terseLabel_en-US" xlink:label="lab_us-gaap_SubsidiarySaleOfStockAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Sale of Stock [Axis]</link:label>
    <link:label id="lab_us-gaap_SubsidiarySaleOfStockAxis_label_en-US" xlink:label="lab_us-gaap_SubsidiarySaleOfStockAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sale of Stock [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsidiarySaleOfStockAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsidiarySaleOfStockAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsidiarySaleOfStockAxis" xlink:to="lab_us-gaap_SubsidiarySaleOfStockAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeGainLossOnDerivativeNet_019e6638-c4ec-7284-8a3f-efa1ca0057ec_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeGainLossOnDerivativeNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unrealized Appreciation (Depreciation)(b)</link:label>
    <link:label id="lab_us-gaap_DerivativeGainLossOnDerivativeNet_label_en-US" xlink:label="lab_us-gaap_DerivativeGainLossOnDerivativeNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative, Gain (Loss) on Derivative, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeGainLossOnDerivativeNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeGainLossOnDerivativeNet"/>
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    <link:label id="lab_us-gaap_DividendsDeclaredTableTextBlock_019e6638-c591-7686-ae4e-fcd4a13b02cb_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsDeclaredTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Distributions Declared</link:label>
    <link:label id="lab_us-gaap_DividendsDeclaredTableTextBlock_label_en-US" xlink:label="lab_us-gaap_DividendsDeclaredTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends Declared [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsDeclaredTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendsDeclaredTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsDeclaredTableTextBlock" xlink:to="lab_us-gaap_DividendsDeclaredTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DelayedDrawTermLoanMember_019e6638-c591-7839-a9a2-b9642bb65199_terseLabel_en-US" xlink:label="lab_us-gaap_DelayedDrawTermLoanMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Delayed draw loan commitments</link:label>
    <link:label id="lab_us-gaap_DelayedDrawTermLoanMember_label_en-US" xlink:label="lab_us-gaap_DelayedDrawTermLoanMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Delayed Draw Term Loan (DDTL) [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DelayedDrawTermLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DelayedDrawTermLoanMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DelayedDrawTermLoanMember" xlink:to="lab_us-gaap_DelayedDrawTermLoanMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MeasurementInputMarketYieldMember_019e6638-c4ec-71bf-a496-db3a033f215a_terseLabel_en-US" xlink:label="lab_obdc_MeasurementInputMarketYieldMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Yield Analysis</link:label>
    <link:label id="lab_obdc_MeasurementInputMarketYieldMember_label_en-US" xlink:label="lab_obdc_MeasurementInputMarketYieldMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Market Yield [Member]</link:label>
    <link:label id="lab_obdc_MeasurementInputMarketYieldMember_documentation_en-US" xlink:label="lab_obdc_MeasurementInputMarketYieldMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input, Market Yield</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MeasurementInputMarketYieldMember" xlink:href="obdc-20260630.xsd#obdc_MeasurementInputMarketYieldMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MeasurementInputMarketYieldMember" xlink:to="lab_obdc_MeasurementInputMarketYieldMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfDebt_019e6638-c4ec-727b-b842-2b6a6e904392_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Borrowings on debt</link:label>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfDebt_label_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from Issuance of Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromIssuanceOfDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromIssuanceOfDebt" xlink:to="lab_us-gaap_ProceedsFromIssuanceOfDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_S2025Q2DividendsMember_019e6638-c590-7d32-9d06-e9dca51a91aa_terseLabel_en-US" xlink:label="lab_obdc_S2025Q2DividendsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">S 2025 Q2 Dividends</link:label>
    <link:label id="lab_obdc_S2025Q2DividendsMember_label_en-US" xlink:label="lab_obdc_S2025Q2DividendsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">S 2025 Q2 Dividends [Member]</link:label>
    <link:label id="lab_obdc_S2025Q2DividendsMember_documentation_en-US" xlink:label="lab_obdc_S2025Q2DividendsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">S 2025 Q2 Dividends</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_S2025Q2DividendsMember" xlink:href="obdc-20260630.xsd#obdc_S2025Q2DividendsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_S2025Q2DividendsMember" xlink:to="lab_obdc_S2025Q2DividendsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionDomain_019e6638-c590-77ad-ba46-08cb9f5d375e_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Domain]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionDomain_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyTransactionDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionDomain" xlink:to="lab_us-gaap_RelatedPartyTransactionDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractGBPMember_019e6638-c590-7588-8fc3-1f42a9f45f90_terseLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractGBPMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency forward contract GBP</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractGBPMember_label_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractGBPMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract GBP [Member]</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractGBPMember_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractGBPMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract GBP</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyForwardContractGBPMember" xlink:href="obdc-20260630.xsd#obdc_ForeignCurrencyForwardContractGBPMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyForwardContractGBPMember" xlink:to="lab_obdc_ForeignCurrencyForwardContractGBPMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_Rule10b51ArrAdoptedFlag_terseLabel_en-US" xlink:label="lab_ecd_Rule10b51ArrAdoptedFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Rule 10b5-1 Arrangement Adopted</link:label>
    <link:label id="lab_ecd_Rule10b51ArrAdoptedFlag_label_en-US" xlink:label="lab_ecd_Rule10b51ArrAdoptedFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Rule 10b5-1 Arrangement Adopted [Flag]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_Rule10b51ArrAdoptedFlag" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_Rule10b51ArrAdoptedFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_Rule10b51ArrAdoptedFlag" xlink:to="lab_ecd_Rule10b51ArrAdoptedFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentOwnedAtFairValue_019e6638-c4ec-7754-a0b9-5b1619889fc4_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Fair Value</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedAtFairValue_019e6638-c4ec-7419-b048-370d3b14a607_periodStartLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning balance</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedAtFairValue_019e6638-c4ec-7d77-9809-06a1bbfff0da_periodEndLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending balance</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedAtFairValue_019e6638-c4ec-720f-bf74-f3bc424c8085_netLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Total Investments at Fair Value</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedAtFairValue_019e6638-c4ec-78a2-b632-30e986e59dc9_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments at fair value:</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedAtFairValue_label_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Owned, Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentOwnedAtFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentOwnedAtFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedAtFairValue" xlink:to="lab_us-gaap_InvestmentOwnedAtFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquitySecuritiesMember_019e6638-c4ec-7a3c-9fe2-efd45bc18a26_terseLabel_en-US" xlink:label="lab_us-gaap_EquitySecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Securities</link:label>
    <link:label id="lab_us-gaap_EquitySecuritiesMember_label_en-US" xlink:label="lab_us-gaap_EquitySecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Securities [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquitySecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquitySecuritiesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquitySecuritiesMember" xlink:to="lab_us-gaap_EquitySecuritiesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ProfessionalServicesMember_019e6638-c428-7c89-b4aa-6d5f955ee66a_terseLabel_en-US" xlink:label="lab_obdc_ProfessionalServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Professional services</link:label>
    <link:label id="lab_obdc_ProfessionalServicesMember_label_en-US" xlink:label="lab_obdc_ProfessionalServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Professional Services [Member]</link:label>
    <link:label id="lab_obdc_ProfessionalServicesMember_documentation_en-US" xlink:label="lab_obdc_ProfessionalServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Professional Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ProfessionalServicesMember" xlink:href="obdc-20260630.xsd#obdc_ProfessionalServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ProfessionalServicesMember" xlink:to="lab_obdc_ProfessionalServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AdministrativeFeesExpense_019f5b56-e82d-7f86-8327-3737dd4f6347_verboseLabel_en-US" xlink:label="lab_us-gaap_AdministrativeFeesExpense" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Costs and expenses reimbursable to the Adviser</link:label>
    <link:label id="lab_us-gaap_AdministrativeFeesExpense_label_en-US" xlink:label="lab_us-gaap_AdministrativeFeesExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Administrative Fees Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdministrativeFeesExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AdministrativeFeesExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AdministrativeFeesExpense" xlink:to="lab_us-gaap_AdministrativeFeesExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockSharesIssued_019e6638-c4ec-7a81-9aca-27dbd7c085c8_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockSharesIssued" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common stock, shares issued (in shares)</link:label>
    <link:label id="lab_us-gaap_CommonStockSharesIssued_label_en-US" xlink:label="lab_us-gaap_CommonStockSharesIssued" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock, Shares, Issued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesIssued" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockSharesIssued"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockSharesIssued" xlink:to="lab_us-gaap_CommonStockSharesIssued" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue_019e6638-c591-746a-851c-d0ef5b9f88fc_periodStartLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Fair value, beginning of period</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue_019e6638-c591-7760-afc5-af10f8e5fc3a_periodEndLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Fair value, end of period</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessDescriptionAndBasisOfPresentationTextBlock_019e6638-c591-7e1f-9017-47ebb7dade5f_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessDescriptionAndBasisOfPresentationTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Organization</link:label>
    <link:label id="lab_us-gaap_BusinessDescriptionAndBasisOfPresentationTextBlock_label_en-US" xlink:label="lab_us-gaap_BusinessDescriptionAndBasisOfPresentationTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Description and Basis of Presentation [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessDescriptionAndBasisOfPresentationTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessDescriptionAndBasisOfPresentationTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessDescriptionAndBasisOfPresentationTextBlock" xlink:to="lab_us-gaap_BusinessDescriptionAndBasisOfPresentationTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember_019e6638-c4ec-75f0-b185-4ccd297731be_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component One, Greater Than Or Equal Product</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember_label_en-US" xlink:label="lab_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component One, Greater Than Or Equal Product [Member]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component One, Greater Than Or Equal Product</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember" xlink:href="obdc-20260630.xsd#obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember" xlink:to="lab_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember_019e6638-c4eb-7ba1-9fed-a3c6bf422ddd_terseLabel_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Extending Commitments</link:label>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember_label_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Senior Secured Revolving Credit Facility, Extending Commitments [Member]</link:label>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember_documentation_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Senior Secured Revolving Credit Facility, Extending Commitments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember" xlink:href="obdc-20260630.xsd#obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember" xlink:to="lab_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIMember_019e6638-c4ec-73d3-aa5a-725ab0944ccb_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII</link:label>
    <link:label id="lab_obdc_CLOVIIMember_label_en-US" xlink:label="lab_obdc_CLOVIIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIMember" xlink:href="obdc-20260630.xsd#obdc_CLOVIIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIMember" xlink:to="lab_obdc_CLOVIIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember_019e6638-c427-7f59-8b36-99359059838e_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Performance based incentive fees based on net investment income</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Performance Based Incentive Fee [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Performance Based Incentive Fee</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember" xlink:href="obdc-20260630.xsd#obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_September2028NotesMember_019e6638-c427-7f4b-82a6-e8f9fccfd9ca_terseLabel_en-US" xlink:label="lab_obdc_September2028NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">September 2028 Notes</link:label>
    <link:label id="lab_obdc_September2028NotesMember_label_en-US" xlink:label="lab_obdc_September2028NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">September 2028 Notes [Member]</link:label>
    <link:label id="lab_obdc_September2028NotesMember_documentation_en-US" xlink:label="lab_obdc_September2028NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">September 2028 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_September2028NotesMember" xlink:href="obdc-20260630.xsd#obdc_September2028NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_September2028NotesMember" xlink:to="lab_obdc_September2028NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_CompActuallyPaidVsOtherMeasureTextBlock_terseLabel_en-US" xlink:label="lab_ecd_CompActuallyPaidVsOtherMeasureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Compensation Actually Paid vs. Other Measure</link:label>
    <link:label id="lab_ecd_CompActuallyPaidVsOtherMeasureTextBlock_label_en-US" xlink:label="lab_ecd_CompActuallyPaidVsOtherMeasureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Compensation Actually Paid vs. Other Measure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_CompActuallyPaidVsOtherMeasureTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_CompActuallyPaidVsOtherMeasureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_CompActuallyPaidVsOtherMeasureTextBlock" xlink:to="lab_ecd_CompActuallyPaidVsOtherMeasureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_019e6638-c4ec-72da-8153-09c11096a323_terseLabel_en-US" xlink:label="lab_obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject To 1 Month</link:label>
    <link:label id="lab_obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_label_en-US" xlink:label="lab_obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">One Month Secured Overnight Financing Rate Sofr Overnight Index Swap Rate [Member]</link:label>
    <link:label id="lab_obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_documentation_en-US" xlink:label="lab_obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">One Month Secured Overnight Financing Rate Sofr Overnight Index Swap Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:href="obdc-20260630.xsd#obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:to="lab_obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TrdArrTerminationDate_terseLabel_en-US" xlink:label="lab_ecd_TrdArrTerminationDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Termination Date</link:label>
    <link:label id="lab_ecd_TrdArrTerminationDate_label_en-US" xlink:label="lab_ecd_TrdArrTerminationDate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangement Termination Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TrdArrTerminationDate" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_TrdArrTerminationDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TrdArrTerminationDate" xlink:to="lab_ecd_TrdArrTerminationDate" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIMember_019e6638-c4ec-7818-b9cc-3def47a2a706_terseLabel_en-US" xlink:label="lab_obdc_CLOIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I</link:label>
    <link:label id="lab_obdc_CLOIMember_label_en-US" xlink:label="lab_obdc_CLOIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I [Member]</link:label>
    <link:label id="lab_obdc_CLOIMember_documentation_en-US" xlink:label="lab_obdc_CLOIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIMember" xlink:href="obdc-20260630.xsd#obdc_CLOIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIMember" xlink:to="lab_obdc_CLOIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventsAbstract_label_en-US" xlink:label="lab_us-gaap_SubsequentEventsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Events [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventsAbstract" xlink:to="lab_us-gaap_SubsequentEventsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e6638-c4ec-714f-a94e-d4ea15b2a489_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value, Recurring and Nonrecurring [Table]</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Recurring and Nonrecurring [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Compensation Actually Paid vs. Total Shareholder Return</link:label>
    <link:label id="lab_ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock_label_en-US" xlink:label="lab_ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Compensation Actually Paid vs. Total Shareholder Return [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock" xlink:to="lab_ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIClassAFNotesMember_019e6638-c591-788e-8d57-ef114e00117c_terseLabel_en-US" xlink:label="lab_obdc_CLOIClassAFNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I, Class A-F Notes</link:label>
    <link:label id="lab_obdc_CLOIClassAFNotesMember_label_en-US" xlink:label="lab_obdc_CLOIClassAFNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class A-F Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassAFNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassAFNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class A-F Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIClassAFNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIClassAFNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIClassAFNotesMember" xlink:to="lab_obdc_CLOIClassAFNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MergerAgreementMember_019e6638-c4ec-7c88-8b4f-07d886ebd1ca_terseLabel_en-US" xlink:label="lab_obdc_MergerAgreementMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Merger Agreement</link:label>
    <link:label id="lab_obdc_MergerAgreementMember_label_en-US" xlink:label="lab_obdc_MergerAgreementMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Merger Agreement [Member]</link:label>
    <link:label id="lab_obdc_MergerAgreementMember_documentation_en-US" xlink:label="lab_obdc_MergerAgreementMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Merger Agreement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MergerAgreementMember" xlink:href="obdc-20260630.xsd#obdc_MergerAgreementMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MergerAgreementMember" xlink:to="lab_obdc_MergerAgreementMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet_019e6638-c4eb-71bf-9140-beed3cf6421c_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transfers into (out of) Level 3</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIClassA1FNotesMember_019e6638-c4ec-77a3-a08a-ae7a0538883f_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIClassA1FNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO III, Class A-1F Notes</link:label>
    <link:label id="lab_obdc_CLOIIIClassA1FNotesMember_label_en-US" xlink:label="lab_obdc_CLOIIIClassA1FNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO III, Class A-1F Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIClassA1FNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIClassA1FNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO III, Class A-1F Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIClassA1FNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIIIClassA1FNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIClassA1FNotesMember" xlink:to="lab_obdc_CLOIIIClassA1FNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardGrantDateFairValue_terseLabel_en-US" xlink:label="lab_ecd_AwardGrantDateFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value as of Grant Date</link:label>
    <link:label id="lab_ecd_AwardGrantDateFairValue_label_en-US" xlink:label="lab_ecd_AwardGrantDateFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Grant Date Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardGrantDateFairValue" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AwardGrantDateFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardGrantDateFairValue" xlink:to="lab_ecd_AwardGrantDateFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentRedemptionPricePercentage_019e6638-c591-72b7-b731-06dd0d918372_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentRedemptionPricePercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt asset coverage (in percentage)</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentRedemptionPricePercentage_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentRedemptionPricePercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Redemption Price, Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentRedemptionPricePercentage" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentRedemptionPricePercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentRedemptionPricePercentage" xlink:to="lab_us-gaap_DebtInstrumentRedemptionPricePercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BlueOwlTechnologyFinanceCorp.Member_019e6638-c4ec-7361-bcbf-804b94555b24_terseLabel_en-US" xlink:label="lab_obdc_BlueOwlTechnologyFinanceCorp.Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blue Owl Technology Finance Corp.</link:label>
    <link:label id="lab_obdc_BlueOwlTechnologyFinanceCorp.Member_label_en-US" xlink:label="lab_obdc_BlueOwlTechnologyFinanceCorp.Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blue Owl Technology Finance Corp. [Member]</link:label>
    <link:label id="lab_obdc_BlueOwlTechnologyFinanceCorp.Member_documentation_en-US" xlink:label="lab_obdc_BlueOwlTechnologyFinanceCorp.Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blue Owl Technology Finance Corp.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BlueOwlTechnologyFinanceCorp.Member" xlink:href="obdc-20260630.xsd#obdc_BlueOwlTechnologyFinanceCorp.Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BlueOwlTechnologyFinanceCorp.Member" xlink:to="lab_obdc_BlueOwlTechnologyFinanceCorp.Member" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_HedgedItemMember_019e6638-c4ec-74bb-aff9-75e29f4f4bb9_terseLabel_en-US" xlink:label="lab_obdc_HedgedItemMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Hedged Items</link:label>
    <link:label id="lab_obdc_HedgedItemMember_label_en-US" xlink:label="lab_obdc_HedgedItemMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Hedged Item [Member]</link:label>
    <link:label id="lab_obdc_HedgedItemMember_documentation_en-US" xlink:label="lab_obdc_HedgedItemMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Hedged Item</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_HedgedItemMember" xlink:href="obdc-20260630.xsd#obdc_HedgedItemMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_HedgedItemMember" xlink:to="lab_obdc_HedgedItemMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingTaxExpenseBenefit_019e6638-c4ec-72c4-93b8-3f03354ad697_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Income tax (provision) benefit</link:label>
    <link:label id="lab_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingTaxExpenseBenefit_label_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss), Investment and Derivative, Operating, Tax Expense (Benefit)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingTaxExpenseBenefit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingTaxExpenseBenefit" xlink:to="lab_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingTaxExpenseBenefit" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PvpTableTextBlock_terseLabel_en-US" xlink:label="lab_ecd_PvpTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pay vs Performance Disclosure, Table</link:label>
    <link:label id="lab_ecd_PvpTableTextBlock_label_en-US" xlink:label="lab_ecd_PvpTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pay vs Performance [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PvpTableTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_PvpTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PvpTableTextBlock" xlink:to="lab_ecd_PvpTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1_019e6638-c4ec-741e-ae6c-4782b1168036_terseLabel_en-US" xlink:label="lab_us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Approximate Dollar Value of Shares that May Yet Be Purchased Under the Plan</link:label>
    <link:label id="lab_us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1_label_en-US" xlink:label="lab_us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share Repurchase Program, Remaining Authorized, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1" xlink:to="lab_us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TrdArrDuration_terseLabel_en-US" xlink:label="lab_ecd_TrdArrDuration" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Arrangement Duration</link:label>
    <link:label id="lab_ecd_TrdArrDuration_label_en-US" xlink:label="lab_ecd_TrdArrDuration" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangement Duration</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TrdArrDuration" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_TrdArrDuration"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TrdArrDuration" xlink:to="lab_ecd_TrdArrDuration" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TwoThousandTwentySevenNotesMember_019e6638-c4ec-790e-bb4d-9f708fdc2906_verboseLabel_en-US" xlink:label="lab_obdc_TwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">2027 Notes</link:label>
    <link:label id="lab_obdc_TwoThousandTwentySevenNotesMember_019e6638-c4ec-727e-99eb-0a9f1e50ad9f_terseLabel_en-US" xlink:label="lab_obdc_TwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2027 Notes</link:label>
    <link:label id="lab_obdc_TwoThousandTwentySevenNotesMember_label_en-US" xlink:label="lab_obdc_TwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Seven Notes [Member]</link:label>
    <link:label id="lab_obdc_TwoThousandTwentySevenNotesMember_documentation_en-US" xlink:label="lab_obdc_TwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Seven Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TwoThousandTwentySevenNotesMember" xlink:href="obdc-20260630.xsd#obdc_TwoThousandTwentySevenNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TwoThousandTwentySevenNotesMember" xlink:to="lab_obdc_TwoThousandTwentySevenNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityAddressPostalZipCode_019e6638-c4ec-7810-80db-38821ea8ca25_terseLabel_en-US" xlink:label="lab_dei_EntityAddressPostalZipCode" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Address, Postal Zip Code</link:label>
    <link:label id="lab_dei_EntityAddressPostalZipCode_label_en-US" xlink:label="lab_dei_EntityAddressPostalZipCode" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Address, Postal Zip Code</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressPostalZipCode"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressPostalZipCode" xlink:to="lab_dei_EntityAddressPostalZipCode" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityRegistrantName_019e6638-c590-7bfc-86ef-90af4b7f38c0_terseLabel_en-US" xlink:label="lab_dei_EntityRegistrantName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Registrant Name</link:label>
    <link:label id="lab_dei_EntityRegistrantName_label_en-US" xlink:label="lab_dei_EntityRegistrantName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Registrant Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityRegistrantName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityRegistrantName" xlink:to="lab_dei_EntityRegistrantName" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ValuationTechniqueYieldAnalysisMember_019e6638-c4ec-7440-bbe9-19972a7eadd8_terseLabel_en-US" xlink:label="lab_obdc_ValuationTechniqueYieldAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Yield Analysis</link:label>
    <link:label id="lab_obdc_ValuationTechniqueYieldAnalysisMember_label_en-US" xlink:label="lab_obdc_ValuationTechniqueYieldAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique, Yield Analysis [Member]</link:label>
    <link:label id="lab_obdc_ValuationTechniqueYieldAnalysisMember_documentation_en-US" xlink:label="lab_obdc_ValuationTechniqueYieldAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Valuation Technique, Yield Analysis</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ValuationTechniqueYieldAnalysisMember" xlink:href="obdc-20260630.xsd#obdc_ValuationTechniqueYieldAnalysisMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ValuationTechniqueYieldAnalysisMember" xlink:to="lab_obdc_ValuationTechniqueYieldAnalysisMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock_terseLabel_en-US" xlink:label="lab_ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Insider Trading Policies and Procedures Not Adopted</link:label>
    <link:label id="lab_ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock_label_en-US" xlink:label="lab_ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Insider Trading Policies and Procedures Not Adopted [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock" xlink:to="lab_ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt_terseLabel_en-US" xlink:label="lab_ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Forgone Recovery due to Expense of Enforcement, Amount</link:label>
    <link:label id="lab_ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt_label_en-US" xlink:label="lab_ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Forgone Recovery due to Expense of Enforcement, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt" xlink:to="lab_ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestIncomeOperatingPaidInKind_019e6638-c427-729d-9e93-74f2917bf9e5_terseLabel_en-US" xlink:label="lab_us-gaap_InterestIncomeOperatingPaidInKind" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Payment-in-kind (&#8220;PIK&#8221;) interest income</link:label>
    <link:label id="lab_us-gaap_InterestIncomeOperatingPaidInKind_019e6638-c427-79c0-9671-859beff7d533_verboseLabel_en-US" xlink:label="lab_us-gaap_InterestIncomeOperatingPaidInKind" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">PIK Interest Income</link:label>
    <link:label id="lab_us-gaap_InterestIncomeOperatingPaidInKind_label_en-US" xlink:label="lab_us-gaap_InterestIncomeOperatingPaidInKind" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Income, Operating, Paid in Kind</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeOperatingPaidInKind" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeOperatingPaidInKind"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestIncomeOperatingPaidInKind" xlink:to="lab_us-gaap_InterestIncomeOperatingPaidInKind" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies_019e6638-c4ec-718d-aae6-3210bcc73a8b_terseLabel_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of portfolio companies</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies_label_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Number Of Portfolio Companies</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies_documentation_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Number Of Portfolio Companies</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies" xlink:href="obdc-20260630.xsd#obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies" xlink:to="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassAL1RLoansMember_019e6638-c4ec-7dc6-ab2f-87d3eb6acc90_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassAL1RLoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1-R Loans</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL1RLoansMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassAL1RLoansMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1-R Loans [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL1RLoansMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassAL1RLoansMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1-R Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassAL1RLoansMember" xlink:href="obdc-20260630.xsd#obdc_CLOVIIClassAL1RLoansMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassAL1RLoansMember" xlink:to="lab_obdc_CLOVIIClassAL1RLoansMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIClassALRNotesMember_019e6638-c591-76d1-9487-73ba005c2dc9_terseLabel_en-US" xlink:label="lab_obdc_CLOIIClassALRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO II, Class A-LR Notes</link:label>
    <link:label id="lab_obdc_CLOIIClassALRNotesMember_label_en-US" xlink:label="lab_obdc_CLOIIClassALRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO II, Class A-LR Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIClassALRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIClassALRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO II, Class A-LR Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIClassALRNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIIClassALRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIClassALRNotesMember" xlink:to="lab_obdc_CLOIIClassALRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_terseLabel_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">All Award Types</link:label>
    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_label_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Type [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink:to="lab_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueDisclosuresTextBlock_019e6638-c4ec-79ad-9651-103961effd36_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueDisclosuresTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value of Investments</link:label>
    <link:label id="lab_us-gaap_FairValueDisclosuresTextBlock_label_en-US" xlink:label="lab_us-gaap_FairValueDisclosuresTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Disclosures [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueDisclosuresTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueDisclosuresTextBlock" xlink:to="lab_us-gaap_FairValueDisclosuresTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MeasurementInputRevenueMultipleMember_019e6638-c590-7248-9d8f-4b8b5f182b78_terseLabel_en-US" xlink:label="lab_us-gaap_MeasurementInputRevenueMultipleMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Revenue Multiple</link:label>
    <link:label id="lab_us-gaap_MeasurementInputRevenueMultipleMember_label_en-US" xlink:label="lab_us-gaap_MeasurementInputRevenueMultipleMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Revenue Multiple [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputRevenueMultipleMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MeasurementInputRevenueMultipleMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MeasurementInputRevenueMultipleMember" xlink:to="lab_us-gaap_MeasurementInputRevenueMultipleMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueInputsLevel3Member_019e6638-c4ec-7947-bee5-64a40cbf3e99_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel3Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Level 3</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel3Member_019e6638-c4ec-755a-b56d-ac81c44b3f07_verboseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel3Member" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Level 3</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel3Member_label_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel3Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Inputs, Level 3 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel3Member" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInputsLevel3Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInputsLevel3Member" xlink:to="lab_us-gaap_FairValueInputsLevel3Member" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_RoyalBankOfCanadaMember_019e6638-c427-7bea-902f-fb0a8e8e9eef_terseLabel_en-US" xlink:label="lab_obdc_RoyalBankOfCanadaMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Royal Bank of Canada</link:label>
    <link:label id="lab_obdc_RoyalBankOfCanadaMember_label_en-US" xlink:label="lab_obdc_RoyalBankOfCanadaMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Royal Bank of Canada [Member]</link:label>
    <link:label id="lab_obdc_RoyalBankOfCanadaMember_documentation_en-US" xlink:label="lab_obdc_RoyalBankOfCanadaMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Royal Bank of Canada</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_RoyalBankOfCanadaMember" xlink:href="obdc-20260630.xsd#obdc_RoyalBankOfCanadaMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RoyalBankOfCanadaMember" xlink:to="lab_obdc_RoyalBankOfCanadaMember" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_StatementGeographicalAxis_019e6638-c590-79aa-b38f-e109024ac51e_terseLabel_en-US" xlink:label="lab_srt_StatementGeographicalAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Geographical [Axis]</link:label>
    <link:label id="lab_srt_StatementGeographicalAxis_label_en-US" xlink:label="lab_srt_StatementGeographicalAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Geographical [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_StatementGeographicalAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_StatementGeographicalAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_StatementGeographicalAxis" xlink:to="lab_srt_StatementGeographicalAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredAmount_019e6638-c4ec-7c2f-9cf0-c0bba7a5aac4_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Funded Commitment</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredAmount_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Financial Support to Investee Contractually Required, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredAmount" xlink:to="lab_us-gaap_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember_019e6638-c4ec-73b4-937c-74047fe82014_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">NAV</link:label>
    <link:label id="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember_label_en-US" xlink:label="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Measured at Net Asset Value Per Share [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:to="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIssuerAffiliationAxis_019e6638-c4ec-774a-899f-510a39a70112_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIssuerAffiliationAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment, Issuer Affiliation [Axis]</link:label>
    <link:label id="lab_us-gaap_InvestmentIssuerAffiliationAxis_label_en-US" xlink:label="lab_us-gaap_InvestmentIssuerAffiliationAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Issuer Affiliation [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIssuerAffiliationAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentIssuerAffiliationAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIssuerAffiliationAxis" xlink:to="lab_us-gaap_InvestmentIssuerAffiliationAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIClassAFRNotesMember_019e6638-c590-73d7-8a12-f9206e712708_terseLabel_en-US" xlink:label="lab_obdc_CLOIIClassAFRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO II, Class A-FR Notes</link:label>
    <link:label id="lab_obdc_CLOIIClassAFRNotesMember_label_en-US" xlink:label="lab_obdc_CLOIIClassAFRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO II, Class A-FR Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIClassAFRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIClassAFRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO II, Class A-FR Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIClassAFRNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIIClassAFRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIClassAFRNotesMember" xlink:to="lab_obdc_CLOIIClassAFRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXMember_019e6638-c4ec-7bd2-9756-38a3c2354a72_terseLabel_en-US" xlink:label="lab_obdc_CLOXMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO X</link:label>
    <link:label id="lab_obdc_CLOXMember_label_en-US" xlink:label="lab_obdc_CLOXMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO X [Member]</link:label>
    <link:label id="lab_obdc_CLOXMember_documentation_en-US" xlink:label="lab_obdc_CLOXMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO X</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXMember" xlink:href="obdc-20260630.xsd#obdc_CLOXMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXMember" xlink:to="lab_obdc_CLOXMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_StockRepurchaseProgramAverageCostPerShare_019e6638-c4eb-74a2-af24-36c796a61670_terseLabel_en-US" xlink:label="lab_obdc_StockRepurchaseProgramAverageCostPerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Average Price Paid per Share (in usd per shares)</link:label>
    <link:label id="lab_obdc_StockRepurchaseProgramAverageCostPerShare_label_en-US" xlink:label="lab_obdc_StockRepurchaseProgramAverageCostPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Repurchase Program, Average Cost Per Share</link:label>
    <link:label id="lab_obdc_StockRepurchaseProgramAverageCostPerShare_documentation_en-US" xlink:label="lab_obdc_StockRepurchaseProgramAverageCostPerShare" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Stock Repurchase Program, Average Cost Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_StockRepurchaseProgramAverageCostPerShare" xlink:href="obdc-20260630.xsd#obdc_StockRepurchaseProgramAverageCostPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_StockRepurchaseProgramAverageCostPerShare" xlink:to="lab_obdc_StockRepurchaseProgramAverageCostPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_LegalEntityAxis_019e6638-c427-7f76-8514-0fb83c8a5120_terseLabel_en-US" xlink:label="lab_dei_LegalEntityAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Legal Entity [Axis]</link:label>
    <link:label id="lab_dei_LegalEntityAxis_label_en-US" xlink:label="lab_dei_LegalEntityAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Legal Entity [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LegalEntityAxis" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_LegalEntityAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_LegalEntityAxis" xlink:to="lab_dei_LegalEntityAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestExpenseDebt_019e6638-c591-7b50-ac53-cd0462431d2d_verboseLabel_en-US" xlink:label="lab_us-gaap_InterestExpenseDebt" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Interest expense</link:label>
    <link:label id="lab_us-gaap_InterestExpenseDebt_label_en-US" xlink:label="lab_us-gaap_InterestExpenseDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Expense, Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestExpenseDebt" xlink:to="lab_us-gaap_InterestExpenseDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_WestRegionMember_019e6638-c4ec-79a6-b0cd-ef10ae789a26_terseLabel_en-US" xlink:label="lab_us-gaap_WestRegionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">West</link:label>
    <link:label id="lab_us-gaap_WestRegionMember_label_en-US" xlink:label="lab_us-gaap_WestRegionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">US West Region [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WestRegionMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_WestRegionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_WestRegionMember" xlink:to="lab_us-gaap_WestRegionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassARNotesMember_019e6638-c590-721d-9829-dd93342a116a_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-R Notes</link:label>
    <link:label id="lab_obdc_CLOVIIClassARNotesMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassARNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassARNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOVIIClassARNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassARNotesMember" xlink:to="lab_obdc_CLOVIIClassARNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_019e6638-c4ec-7de0-b7c5-1be15f9665e6_periodStartLabel_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Cash and restricted cash, including foreign cash, beginning of period (restricted cash of $47,448 and $82,387, respectively)</link:label>
    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_019e6638-c4ec-7dc5-9dc7-b66d77bfb922_periodEndLabel_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Cash and restricted cash, including foreign cash, end of period (restricted cash of $20,399 and $64,405, respectively)</link:label>
    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_label_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Continuing Operation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:to="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DistributionSectorMember_019e6638-c427-736c-8227-18381a68c348_terseLabel_en-US" xlink:label="lab_obdc_DistributionSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distribution</link:label>
    <link:label id="lab_obdc_DistributionSectorMember_label_en-US" xlink:label="lab_obdc_DistributionSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distribution Sector [Member]</link:label>
    <link:label id="lab_obdc_DistributionSectorMember_documentation_en-US" xlink:label="lab_obdc_DistributionSectorMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Distribution Sector</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DistributionSectorMember" xlink:href="obdc-20260630.xsd#obdc_DistributionSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DistributionSectorMember" xlink:to="lab_obdc_DistributionSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_Series2022ANotesTrancheBMember_019e6638-c4eb-7b23-8949-0d0b5a758cf5_terseLabel_en-US" xlink:label="lab_obdc_Series2022ANotesTrancheBMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Series 2022A Notes, Tranche B</link:label>
    <link:label id="lab_obdc_Series2022ANotesTrancheBMember_label_en-US" xlink:label="lab_obdc_Series2022ANotesTrancheBMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Series 2022A Notes, Tranche B [Member]</link:label>
    <link:label id="lab_obdc_Series2022ANotesTrancheBMember_documentation_en-US" xlink:label="lab_obdc_Series2022ANotesTrancheBMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Series 2022A Notes, Tranche B</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_Series2022ANotesTrancheBMember" xlink:href="obdc-20260630.xsd#obdc_Series2022ANotesTrancheBMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_Series2022ANotesTrancheBMember" xlink:to="lab_obdc_Series2022ANotesTrancheBMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestRateSwaps2031NotesMember_019fa3cf-5612-7df6-9fd9-ef1a9833179f_terseLabel_en-US" xlink:label="lab_obdc_InterestRateSwaps2031NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest Rate Swap 2031 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2031NotesMember_019fa3d6-9969-7fc7-800c-08c3c6e19373_verboseLabel_en-US" xlink:label="lab_obdc_InterestRateSwaps2031NotesMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">2031 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2031NotesMember_label_en-US" xlink:label="lab_obdc_InterestRateSwaps2031NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps, 2031 Notes [Member]</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2031NotesMember_documentation_en-US" xlink:label="lab_obdc_InterestRateSwaps2031NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps, 2031 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestRateSwaps2031NotesMember" xlink:href="obdc-20260630.xsd#obdc_InterestRateSwaps2031NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestRateSwaps2031NotesMember" xlink:to="lab_obdc_InterestRateSwaps2031NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_019e6638-c4ec-761d-bb33-018235a22efb_terseLabel_en-US" xlink:label="lab_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject To 3 Months</link:label>
    <link:label id="lab_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_label_en-US" xlink:label="lab_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Three Months Secured Overnight Financing Rate Sofr Overnight Index Swap Rate [Member]</link:label>
    <link:label id="lab_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_documentation_en-US" xlink:label="lab_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Three Months Secured Overnight Financing Rate Sofr Overnight Index Swap Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:href="obdc-20260630.xsd#obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:to="lab_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_NonNeosMember_terseLabel_en-US" xlink:label="lab_ecd_NonNeosMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-NEOs</link:label>
    <link:label id="lab_ecd_NonNeosMember_label_en-US" xlink:label="lab_ecd_NonNeosMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-NEOs [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_NonNeosMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_NonNeosMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_NonNeosMember" xlink:to="lab_ecd_NonNeosMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SixMonthsEURIBORMember_019e6638-c4ec-7f4c-96e1-ac4237732c1f_terseLabel_en-US" xlink:label="lab_obdc_SixMonthsEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject to 6 months EURIBOR</link:label>
    <link:label id="lab_obdc_SixMonthsEURIBORMember_label_en-US" xlink:label="lab_obdc_SixMonthsEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Six Months EURIBOR [Member]</link:label>
    <link:label id="lab_obdc_SixMonthsEURIBORMember_documentation_en-US" xlink:label="lab_obdc_SixMonthsEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Six Months EURIBOR</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SixMonthsEURIBORMember" xlink:href="obdc-20260630.xsd#obdc_SixMonthsEURIBORMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SixMonthsEURIBORMember" xlink:to="lab_obdc_SixMonthsEURIBORMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate_019e6638-c590-7d30-a668-379786b3bbd0_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Reimbursement amount</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Indemnification Asset, Acquisition Date, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate" xlink:to="lab_us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_019e6638-c591-7eaa-ac6a-aa8298d12503_terseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Less than 1 year</link:label>
    <link:label id="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_label_en-US" xlink:label="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Maturity, Year One</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" xlink:to="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongtermDebtTypeDomain_019e6638-c427-7b07-9f86-e6a3bb4587eb_terseLabel_en-US" xlink:label="lab_us-gaap_LongtermDebtTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Type [Domain]</link:label>
    <link:label id="lab_us-gaap_LongtermDebtTypeDomain_label_en-US" xlink:label="lab_us-gaap_LongtermDebtTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Type [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongtermDebtTypeDomain" xlink:to="lab_us-gaap_LongtermDebtTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquityClassOfTreasuryStockLineItems_019e6638-c4ec-77b1-b4fc-a4c534d3ab45_terseLabel_en-US" xlink:label="lab_us-gaap_EquityClassOfTreasuryStockLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity, Class of Treasury Stock [Line Items]</link:label>
    <link:label id="lab_us-gaap_EquityClassOfTreasuryStockLineItems_label_en-US" xlink:label="lab_us-gaap_EquityClassOfTreasuryStockLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity, Class of Treasury Stock [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityClassOfTreasuryStockLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquityClassOfTreasuryStockLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityClassOfTreasuryStockLineItems" xlink:to="lab_us-gaap_EquityClassOfTreasuryStockLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsForRepurchaseOfCommonStock_019e6638-c427-7750-a61b-0da0b1384457_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsForRepurchaseOfCommonStock" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Repurchases of common stock</link:label>
    <link:label id="lab_us-gaap_PaymentsForRepurchaseOfCommonStock_019e6638-c427-7ef7-be91-9de308b7601a_terseLabel_en-US" xlink:label="lab_us-gaap_PaymentsForRepurchaseOfCommonStock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repurchases of common stock</link:label>
    <link:label id="lab_us-gaap_PaymentsForRepurchaseOfCommonStock_label_en-US" xlink:label="lab_us-gaap_PaymentsForRepurchaseOfCommonStock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments for Repurchase of Common Stock</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForRepurchaseOfCommonStock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsForRepurchaseOfCommonStock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsForRepurchaseOfCommonStock" xlink:to="lab_us-gaap_PaymentsForRepurchaseOfCommonStock" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_RangeAxis_019e6638-c590-71d0-8d03-fc2b3ab2ab9f_terseLabel_en-US" xlink:label="lab_srt_RangeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statistical Measurement [Axis]</link:label>
    <link:label id="lab_srt_RangeAxis_label_en-US" xlink:label="lab_srt_RangeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statistical Measurement [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_RangeAxis" xlink:to="lab_srt_RangeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage_019e6638-c590-7f38-8f9b-70b2f65304eb_terseLabel_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Underlying portfolio percentage</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage_label_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Underlying Portfolio Percentage</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage_documentation_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Underlying Portfolio Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage" xlink:href="obdc-20260630.xsd#obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage" xlink:to="lab_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ManagementAndServiceFeesBaseRate_019e6638-c591-7281-acca-e2803d818054_terseLabel_en-US" xlink:label="lab_us-gaap_ManagementAndServiceFeesBaseRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Base rate</link:label>
    <link:label id="lab_us-gaap_ManagementAndServiceFeesBaseRate_label_en-US" xlink:label="lab_us-gaap_ManagementAndServiceFeesBaseRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Management and Service Fees, Base Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ManagementAndServiceFeesBaseRate" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ManagementAndServiceFeesBaseRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ManagementAndServiceFeesBaseRate" xlink:to="lab_us-gaap_ManagementAndServiceFeesBaseRate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock_019e6638-c590-7e25-b111-0ee2f5d66cc7_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Net Unrealized Gains and Losses on Effective Interest Rate Swaps and Hedged</link:label>
    <link:label id="lab_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Instruments, Gain (Loss) [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" xlink:to="lab_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AwardTypeAxis_terseLabel_en-US" xlink:label="lab_us-gaap_AwardTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Award Type</link:label>
    <link:label id="lab_us-gaap_AwardTypeAxis_label_en-US" xlink:label="lab_us-gaap_AwardTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AwardTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AwardTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AwardTypeAxis" xlink:to="lab_us-gaap_AwardTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_NamedExecutiveOfficersFnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_NamedExecutiveOfficersFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Named Executive Officers, Footnote</link:label>
    <link:label id="lab_ecd_NamedExecutiveOfficersFnTextBlock_label_en-US" xlink:label="lab_ecd_NamedExecutiveOfficersFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Named Executive Officers, Footnote [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_NamedExecutiveOfficersFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_NamedExecutiveOfficersFnTextBlock"/>
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    <link:label id="lab_obdc_HealthcareProvidersAndServicesMember_019e6638-c591-7351-9138-7e6f1c71bc00_terseLabel_en-US" xlink:label="lab_obdc_HealthcareProvidersAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Healthcare providers and services</link:label>
    <link:label id="lab_obdc_HealthcareProvidersAndServicesMember_label_en-US" xlink:label="lab_obdc_HealthcareProvidersAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Healthcare Providers And Services [Member]</link:label>
    <link:label id="lab_obdc_HealthcareProvidersAndServicesMember_documentation_en-US" xlink:label="lab_obdc_HealthcareProvidersAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Healthcare Providers And Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_HealthcareProvidersAndServicesMember" xlink:href="obdc-20260630.xsd#obdc_HealthcareProvidersAndServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_HealthcareProvidersAndServicesMember" xlink:to="lab_obdc_HealthcareProvidersAndServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TaxBasisOfInvestmentsUnrealizedAppreciationDepreciationNet_019e6638-c4ec-7104-80bf-d781ba05888b_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_TaxBasisOfInvestmentsUnrealizedAppreciationDepreciationNet" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Unrealized loss for U.S. federal income tax purposes</link:label>
    <link:label id="lab_us-gaap_TaxBasisOfInvestmentsUnrealizedAppreciationDepreciationNet_label_en-US" xlink:label="lab_us-gaap_TaxBasisOfInvestmentsUnrealizedAppreciationDepreciationNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Tax Basis, Unrealized Gain (Loss)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxBasisOfInvestmentsUnrealizedAppreciationDepreciationNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TaxBasisOfInvestmentsUnrealizedAppreciationDepreciationNet"/>
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    <link:label id="lab_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax_019e6638-c4ec-7402-ba10-d8bc289941b7_terseLabel_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized gain (loss)</link:label>
    <link:label id="lab_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax_label_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss), Investment, Derivative, and Foreign Currency Transaction Price Change, Operating, before Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax"/>
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    <link:label id="lab_us-gaap_RetainedEarningsAccumulatedDeficit_019e6638-c591-73f9-a2db-6310c6ecbb74_terseLabel_en-US" xlink:label="lab_us-gaap_RetainedEarningsAccumulatedDeficit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accumulated undistributed (overdistributed) earnings</link:label>
    <link:label id="lab_us-gaap_RetainedEarningsAccumulatedDeficit_label_en-US" xlink:label="lab_us-gaap_RetainedEarningsAccumulatedDeficit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Retained Earnings (Accumulated Deficit)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
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    <link:label id="lab_us-gaap_NortheastRegionMember_019e6638-c4ec-78e5-b5cd-8267dc8ab04a_terseLabel_en-US" xlink:label="lab_us-gaap_NortheastRegionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Northeast</link:label>
    <link:label id="lab_us-gaap_NortheastRegionMember_label_en-US" xlink:label="lab_us-gaap_NortheastRegionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">US Northeast Region [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NortheastRegionMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NortheastRegionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NortheastRegionMember" xlink:to="lab_us-gaap_NortheastRegionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased_019e6638-c4ec-7796-a109-ca854ab36a0b_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase (decrease) in payable for investments purchased</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Payable for Investment Purchased</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased"/>
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    <link:label id="lab_obdc_SterlingOvernightIndexAverageRateMember_019e6638-c590-7a14-b400-0d9fe55db862_terseLabel_en-US" xlink:label="lab_obdc_SterlingOvernightIndexAverageRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">SONIA Plus</link:label>
    <link:label id="lab_obdc_SterlingOvernightIndexAverageRateMember_label_en-US" xlink:label="lab_obdc_SterlingOvernightIndexAverageRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sterling Overnight Index Average Rate [Member]</link:label>
    <link:label id="lab_obdc_SterlingOvernightIndexAverageRateMember_documentation_en-US" xlink:label="lab_obdc_SterlingOvernightIndexAverageRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Sterling Overnight Index Average Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SterlingOvernightIndexAverageRateMember" xlink:href="obdc-20260630.xsd#obdc_SterlingOvernightIndexAverageRateMember"/>
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    <link:label id="lab_ecd_AwardsCloseToMnpiDiscTable_terseLabel_en-US" xlink:label="lab_ecd_AwardsCloseToMnpiDiscTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Awards Close in Time to MNPI Disclosures</link:label>
    <link:label id="lab_ecd_AwardsCloseToMnpiDiscTable_label_en-US" xlink:label="lab_ecd_AwardsCloseToMnpiDiscTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Awards Close in Time to MNPI Disclosures [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardsCloseToMnpiDiscTable" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AwardsCloseToMnpiDiscTable"/>
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    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfSecuredDebt_019e6638-c590-7184-b276-00f3b3c10f10_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfSecuredDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from issuance of secured debt</link:label>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfSecuredDebt_label_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfSecuredDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from Issuance of Secured Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfSecuredDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromIssuanceOfSecuredDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromIssuanceOfSecuredDebt" xlink:to="lab_us-gaap_ProceedsFromIssuanceOfSecuredDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockMember_019e6638-c4eb-7023-beb9-e459923ba3c3_verboseLabel_en-US" xlink:label="lab_us-gaap_CommonStockMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Common equity investments</link:label>
    <link:label id="lab_us-gaap_CommonStockMember_019e6638-c4eb-7598-b911-728ffa9b40b9_netLabel_en-US" xlink:label="lab_us-gaap_CommonStockMember" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Common</link:label>
    <link:label id="lab_us-gaap_CommonStockMember_019e6638-c4eb-7585-8cfd-8b3a627ac29a_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common Stock</link:label>
    <link:label id="lab_us-gaap_CommonStockMember_label_en-US" xlink:label="lab_us-gaap_CommonStockMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockMember" xlink:to="lab_us-gaap_CommonStockMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CommitmentToLSIFinancingDACMember_019e6638-c4ec-713b-bfe0-59d819a1a458_terseLabel_en-US" xlink:label="lab_obdc_CommitmentToLSIFinancingDACMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitment To LSI Financing DAC</link:label>
    <link:label id="lab_obdc_CommitmentToLSIFinancingDACMember_label_en-US" xlink:label="lab_obdc_CommitmentToLSIFinancingDACMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitment To LSI Financing DAC [Member]</link:label>
    <link:label id="lab_obdc_CommitmentToLSIFinancingDACMember_documentation_en-US" xlink:label="lab_obdc_CommitmentToLSIFinancingDACMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Commitment To LSI Financing DAC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CommitmentToLSIFinancingDACMember" xlink:href="obdc-20260630.xsd#obdc_CommitmentToLSIFinancingDACMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CommitmentToLSIFinancingDACMember" xlink:to="lab_obdc_CommitmentToLSIFinancingDACMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NonUsMember_019e6638-c4ec-7df3-ad65-6359195945a1_terseLabel_en-US" xlink:label="lab_us-gaap_NonUsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">International</link:label>
    <link:label id="lab_us-gaap_NonUsMember_label_en-US" xlink:label="lab_us-gaap_NonUsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-US [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonUsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NonUsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NonUsMember" xlink:to="lab_us-gaap_NonUsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CommonEquityCommitmentsMember_019e6638-c4ec-7784-a424-d67264748000_terseLabel_en-US" xlink:label="lab_obdc_CommonEquityCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common equity commitments</link:label>
    <link:label id="lab_obdc_CommonEquityCommitmentsMember_label_en-US" xlink:label="lab_obdc_CommonEquityCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Equity Commitments [Member]</link:label>
    <link:label id="lab_obdc_CommonEquityCommitmentsMember_documentation_en-US" xlink:label="lab_obdc_CommonEquityCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Common Equity Commitments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CommonEquityCommitmentsMember" xlink:href="obdc-20260630.xsd#obdc_CommonEquityCommitmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CommonEquityCommitmentsMember" xlink:to="lab_obdc_CommonEquityCommitmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXIVMember_019e6638-c590-7bfa-97a8-2174b990e2c5_terseLabel_en-US" xlink:label="lab_obdc_CLOXIVMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO XIV</link:label>
    <link:label id="lab_obdc_CLOXIVMember_label_en-US" xlink:label="lab_obdc_CLOXIVMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO XIV [Member]</link:label>
    <link:label id="lab_obdc_CLOXIVMember_documentation_en-US" xlink:label="lab_obdc_CLOXIVMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO XIV</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXIVMember" xlink:href="obdc-20260630.xsd#obdc_CLOXIVMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXIVMember" xlink:to="lab_obdc_CLOXIVMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeContractTypeDomain_019e6638-c4eb-7287-86e5-e816dc797305_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeContractTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Contract [Domain]</link:label>
    <link:label id="lab_us-gaap_DerivativeContractTypeDomain_label_en-US" xlink:label="lab_us-gaap_DerivativeContractTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Contract [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeContractTypeDomain" xlink:to="lab_us-gaap_DerivativeContractTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConcentrationRiskByBenchmarkAxis_019e6638-c590-7d05-8391-621e64fde4d5_terseLabel_en-US" xlink:label="lab_us-gaap_ConcentrationRiskByBenchmarkAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Concentration Risk Benchmark [Axis]</link:label>
    <link:label id="lab_us-gaap_ConcentrationRiskByBenchmarkAxis_label_en-US" xlink:label="lab_us-gaap_ConcentrationRiskByBenchmarkAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Concentration Risk Benchmark [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskByBenchmarkAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConcentrationRiskByBenchmarkAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConcentrationRiskByBenchmarkAxis" xlink:to="lab_us-gaap_ConcentrationRiskByBenchmarkAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock_019e6638-c427-78a9-a674-17cff42dd7f0_terseLabel_en-US" xlink:label="lab_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Reimbursement of Transaction-Related Expenses</link:label>
    <link:label id="lab_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock_label_en-US" xlink:label="lab_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Reimbursement Of Transaction-Related Expenses, Policy [Policy Text Block]</link:label>
    <link:label id="lab_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock_documentation_en-US" xlink:label="lab_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Reimbursement Of Transaction-Related Expenses, Policy</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock" xlink:href="obdc-20260630.xsd#obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock" xlink:to="lab_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInIncentiveFeePayable_019e6638-c4ec-712d-91d6-e3998b8b588c_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInIncentiveFeePayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase (decrease) in incentive fee payable</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInIncentiveFeePayable_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInIncentiveFeePayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Incentive Fee Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInIncentiveFeePayable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInIncentiveFeePayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInIncentiveFeePayable" xlink:to="lab_us-gaap_IncreaseDecreaseInIncentiveFeePayable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BusinessServicesMember_019e6638-c428-74ed-8262-a0a69e16c550_terseLabel_en-US" xlink:label="lab_obdc_BusinessServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Business services</link:label>
    <link:label id="lab_obdc_BusinessServicesMember_label_en-US" xlink:label="lab_obdc_BusinessServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Services [Member]</link:label>
    <link:label id="lab_obdc_BusinessServicesMember_documentation_en-US" xlink:label="lab_obdc_BusinessServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BusinessServicesMember" xlink:href="obdc-20260630.xsd#obdc_BusinessServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BusinessServicesMember" xlink:to="lab_obdc_BusinessServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LiabilitiesAndStockholdersEquity_019e6638-c590-7086-9cb6-367f33d568fe_totalLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesAndStockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Liabilities and Net Assets</link:label>
    <link:label id="lab_us-gaap_LiabilitiesAndStockholdersEquity_label_en-US" xlink:label="lab_us-gaap_LiabilitiesAndStockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Liabilities and Equity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity" xlink:to="lab_us-gaap_LiabilitiesAndStockholdersEquity" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_HealthcareTechnologySectorMember_019e6638-c4ec-7b9f-9ab1-a534c3fd8fb9_terseLabel_en-US" xlink:label="lab_obdc_HealthcareTechnologySectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Healthcare technology</link:label>
    <link:label id="lab_obdc_HealthcareTechnologySectorMember_label_en-US" xlink:label="lab_obdc_HealthcareTechnologySectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Healthcare Technology Sector [Member]</link:label>
    <link:label id="lab_obdc_HealthcareTechnologySectorMember_documentation_en-US" xlink:label="lab_obdc_HealthcareTechnologySectorMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Healthcare Technology Sector</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_HealthcareTechnologySectorMember" xlink:href="obdc-20260630.xsd#obdc_HealthcareTechnologySectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_HealthcareTechnologySectorMember" xlink:to="lab_obdc_HealthcareTechnologySectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RealizedInvestmentGainsLosses_019e6638-c590-7c6f-88fe-c0f38f6467d9_totalLabel_en-US" xlink:label="lab_us-gaap_RealizedInvestmentGainsLosses" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Net Realized Gain (Loss)</link:label>
    <link:label id="lab_us-gaap_RealizedInvestmentGainsLosses_label_en-US" xlink:label="lab_us-gaap_RealizedInvestmentGainsLosses" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Realized Investment Gains (Losses)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RealizedInvestmentGainsLosses" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RealizedInvestmentGainsLosses"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealizedInvestmentGainsLosses" xlink:to="lab_us-gaap_RealizedInvestmentGainsLosses" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EmployeeStockOptionMember_terseLabel_en-US" xlink:label="lab_us-gaap_EmployeeStockOptionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Employee Stock Option</link:label>
    <link:label id="lab_us-gaap_EmployeeStockOptionMember_label_en-US" xlink:label="lab_us-gaap_EmployeeStockOptionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share-Based Payment Arrangement, Option [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmployeeStockOptionMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EmployeeStockOptionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EmployeeStockOptionMember" xlink:to="lab_us-gaap_EmployeeStockOptionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases_019e6638-c590-7df9-bec0-256ce0bc5215_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Purchases of investments, net</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Purchases</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_Additional402vDisclosureTextBlock_terseLabel_en-US" xlink:label="lab_ecd_Additional402vDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Additional 402(v) Disclosure</link:label>
    <link:label id="lab_ecd_Additional402vDisclosureTextBlock_label_en-US" xlink:label="lab_ecd_Additional402vDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Additional 402(v) Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_Additional402vDisclosureTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_Additional402vDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_Additional402vDisclosureTextBlock" xlink:to="lab_ecd_Additional402vDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueByAssetClassAxis_019e6638-c427-7f38-a9fb-bd695c66245e_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueByAssetClassAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Asset Class [Axis]</link:label>
    <link:label id="lab_us-gaap_FairValueByAssetClassAxis_label_en-US" xlink:label="lab_us-gaap_FairValueByAssetClassAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Asset Class [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByAssetClassAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByAssetClassAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueByAssetClassAxis" xlink:to="lab_us-gaap_FairValueByAssetClassAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyDomain_019e6638-c591-75d4-8a3f-99b2a84ac2a9_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party [Domain]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyDomain_label_en-US" xlink:label="lab_us-gaap_RelatedPartyDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related and Nonrelated Parties [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyDomain" xlink:to="lab_us-gaap_RelatedPartyDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_LongTermDebtMaturityYearThreeToFive_019e6638-c4ec-750a-a19e-8d2e59ae52e7_terseLabel_en-US" xlink:label="lab_obdc_LongTermDebtMaturityYearThreeToFive" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">3-5 years</link:label>
    <link:label id="lab_obdc_LongTermDebtMaturityYearThreeToFive_label_en-US" xlink:label="lab_obdc_LongTermDebtMaturityYearThreeToFive" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long Term Debt Maturity Year Three To Five</link:label>
    <link:label id="lab_obdc_LongTermDebtMaturityYearThreeToFive_documentation_en-US" xlink:label="lab_obdc_LongTermDebtMaturityYearThreeToFive" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Long Term Debt Maturity Year Three To Five</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_LongTermDebtMaturityYearThreeToFive" xlink:href="obdc-20260630.xsd#obdc_LongTermDebtMaturityYearThreeToFive"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_LongTermDebtMaturityYearThreeToFive" xlink:to="lab_obdc_LongTermDebtMaturityYearThreeToFive" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TabularListTableTextBlock_terseLabel_en-US" xlink:label="lab_ecd_TabularListTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Tabular List, Table</link:label>
    <link:label id="lab_ecd_TabularListTableTextBlock_label_en-US" xlink:label="lab_ecd_TabularListTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tabular List [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TabularListTableTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_TabularListTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TabularListTableTextBlock" xlink:to="lab_ecd_TabularListTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AdditionalPaidInCapital_019e6638-c590-7332-b00a-d102b47d76e6_terseLabel_en-US" xlink:label="lab_us-gaap_AdditionalPaidInCapital" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Additional paid-in-capital</link:label>
    <link:label id="lab_us-gaap_AdditionalPaidInCapital_label_en-US" xlink:label="lab_us-gaap_AdditionalPaidInCapital" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Additional Paid in Capital</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapital" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AdditionalPaidInCapital"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AdditionalPaidInCapital" xlink:to="lab_us-gaap_AdditionalPaidInCapital" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TransportationSectorMember_019e6638-c4ec-751a-a6de-1f5d809386d2_terseLabel_en-US" xlink:label="lab_us-gaap_TransportationSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transportation</link:label>
    <link:label id="lab_us-gaap_TransportationSectorMember_label_en-US" xlink:label="lab_us-gaap_TransportationSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Transportation Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TransportationSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TransportationSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TransportationSectorMember" xlink:to="lab_us-gaap_TransportationSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardsCloseToMnpiDiscIndName_terseLabel_en-US" xlink:label="lab_ecd_AwardsCloseToMnpiDiscIndName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Name</link:label>
    <link:label id="lab_ecd_AwardsCloseToMnpiDiscIndName_label_en-US" xlink:label="lab_ecd_AwardsCloseToMnpiDiscIndName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Awards Close in Time to MNPI Disclosures, Individual Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardsCloseToMnpiDiscIndName" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AwardsCloseToMnpiDiscIndName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardsCloseToMnpiDiscIndName" xlink:to="lab_ecd_AwardsCloseToMnpiDiscIndName" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIdentifierAxis_019e6638-c4ec-7d1d-8f05-b49eef865b3b_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIdentifierAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment, Identifier [Axis]</link:label>
    <link:label id="lab_us-gaap_InvestmentIdentifierAxis_label_en-US" xlink:label="lab_us-gaap_InvestmentIdentifierAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Identifier [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIdentifierAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentIdentifierAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIdentifierAxis" xlink:to="lab_us-gaap_InvestmentIdentifierAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_YrEndFrValOfEqtyAwrdsGrntdInCvrdYrOutsdngAndUnvstdMember_terseLabel_en-US" xlink:label="lab_ecd_YrEndFrValOfEqtyAwrdsGrntdInCvrdYrOutsdngAndUnvstdMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Year-end Fair Value of Equity Awards Granted in Covered Year that are Outstanding and Unvested</link:label>
    <link:label id="lab_ecd_YrEndFrValOfEqtyAwrdsGrntdInCvrdYrOutsdngAndUnvstdMember_label_en-US" xlink:label="lab_ecd_YrEndFrValOfEqtyAwrdsGrntdInCvrdYrOutsdngAndUnvstdMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Year-end Fair Value of Equity Awards Granted in Covered Year that are Outstanding and Unvested [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_YrEndFrValOfEqtyAwrdsGrntdInCvrdYrOutsdngAndUnvstdMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_YrEndFrValOfEqtyAwrdsGrntdInCvrdYrOutsdngAndUnvstdMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_YrEndFrValOfEqtyAwrdsGrntdInCvrdYrOutsdngAndUnvstdMember" xlink:to="lab_ecd_YrEndFrValOfEqtyAwrdsGrntdInCvrdYrOutsdngAndUnvstdMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MarketApproachValuationTechniqueMember_019e6638-c4eb-7f10-a466-ed507f74830b_terseLabel_en-US" xlink:label="lab_us-gaap_MarketApproachValuationTechniqueMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Market Approach</link:label>
    <link:label id="lab_us-gaap_MarketApproachValuationTechniqueMember_label_en-US" xlink:label="lab_us-gaap_MarketApproachValuationTechniqueMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation, Market Approach [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MarketApproachValuationTechniqueMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MarketApproachValuationTechniqueMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MarketApproachValuationTechniqueMember" xlink:to="lab_us-gaap_MarketApproachValuationTechniqueMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SaleOfStockPricePerShare_019e6638-c4eb-7170-8eda-ee78b7c2d019_terseLabel_en-US" xlink:label="lab_us-gaap_SaleOfStockPricePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Public offering price (in usd per share)</link:label>
    <link:label id="lab_us-gaap_SaleOfStockPricePerShare_019e6638-c4eb-70e4-811c-3dba82232686_verboseLabel_en-US" xlink:label="lab_us-gaap_SaleOfStockPricePerShare" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Average Offering Price per Share (in usd per share)</link:label>
    <link:label id="lab_us-gaap_SaleOfStockPricePerShare_label_en-US" xlink:label="lab_us-gaap_SaleOfStockPricePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sale of Stock, Price Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SaleOfStockPricePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SaleOfStockPricePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SaleOfStockPricePerShare" xlink:to="lab_us-gaap_SaleOfStockPricePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateComponentAxis_019e6638-c4ec-7ce1-96af-d31b062264f8_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateComponentAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component [Axis]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentAxis_label_en-US" xlink:label="lab_obdc_DebtVariableRateComponentAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component [Axis]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentAxis_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateComponentAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateComponentAxis" xlink:href="obdc-20260630.xsd#obdc_DebtVariableRateComponentAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateComponentAxis" xlink:to="lab_obdc_DebtVariableRateComponentAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ManagementFeeWaivers_019f83d8-da1e-75cb-9d57-0fc198697e8f_terseLabel_en-US" xlink:label="lab_obdc_ManagementFeeWaivers" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Management fee waivers</link:label>
    <link:label id="lab_obdc_ManagementFeeWaivers_label_en-US" xlink:label="lab_obdc_ManagementFeeWaivers" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Management Fee Waivers</link:label>
    <link:label id="lab_obdc_ManagementFeeWaivers_documentation_en-US" xlink:label="lab_obdc_ManagementFeeWaivers" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Management Fee Waivers</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ManagementFeeWaivers" xlink:href="obdc-20260630.xsd#obdc_ManagementFeeWaivers"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ManagementFeeWaivers" xlink:to="lab_obdc_ManagementFeeWaivers" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_S2026Q2DividendsMember_019fb236-0fa2-78c6-81db-f7198c805bf8_terseLabel_en-US" xlink:label="lab_obdc_S2026Q2DividendsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">S 2026 Q2 Dividends</link:label>
    <link:label id="lab_obdc_S2026Q2DividendsMember_label_en-US" xlink:label="lab_obdc_S2026Q2DividendsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">S 2026 Q2 Dividends [Member]</link:label>
    <link:label id="lab_obdc_S2026Q2DividendsMember_documentation_en-US" xlink:label="lab_obdc_S2026Q2DividendsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">S 2026 Q2 Dividends</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_S2026Q2DividendsMember" xlink:href="obdc-20260630.xsd#obdc_S2026Q2DividendsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_S2026Q2DividendsMember" xlink:to="lab_obdc_S2026Q2DividendsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AdjToCompAxis_terseLabel_en-US" xlink:label="lab_ecd_AdjToCompAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Adjustment to Compensation:</link:label>
    <link:label id="lab_ecd_AdjToCompAxis_label_en-US" xlink:label="lab_ecd_AdjToCompAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustment to Compensation [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AdjToCompAxis" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AdjToCompAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AdjToCompAxis" xlink:to="lab_ecd_AdjToCompAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIClassCNotesMember_019e6638-c590-7ed8-98e4-5682a756e743_terseLabel_en-US" xlink:label="lab_obdc_CLOIClassCNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I, Class C Notes</link:label>
    <link:label id="lab_obdc_CLOIClassCNotesMember_label_en-US" xlink:label="lab_obdc_CLOIClassCNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class C Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassCNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassCNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class C Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIClassCNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIClassCNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIClassCNotesMember" xlink:to="lab_obdc_CLOIClassCNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendsPayableLineItems_019e6638-c590-74b3-b119-f32b1b7c3ae2_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsPayableLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividends Payable [Line Items]</link:label>
    <link:label id="lab_us-gaap_DividendsPayableLineItems_label_en-US" xlink:label="lab_us-gaap_DividendsPayableLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends Payable [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsPayableLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendsPayableLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsPayableLineItems" xlink:to="lab_us-gaap_DividendsPayableLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendsPayableTable_019e6638-c4ec-72fe-ae44-1b3bc2552ef2_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsPayableTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividends Payable [Table]</link:label>
    <link:label id="lab_us-gaap_DividendsPayableTable_label_en-US" xlink:label="lab_us-gaap_DividendsPayableTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends Payable [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsPayableTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendsPayableTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsPayableTable" xlink:to="lab_us-gaap_DividendsPayableTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_Rule10b51ArrTrmntdFlag_terseLabel_en-US" xlink:label="lab_ecd_Rule10b51ArrTrmntdFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Rule 10b5-1 Arrangement Terminated</link:label>
    <link:label id="lab_ecd_Rule10b51ArrTrmntdFlag_label_en-US" xlink:label="lab_ecd_Rule10b51ArrTrmntdFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Rule 10b5-1 Arrangement Terminated [Flag]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_Rule10b51ArrTrmntdFlag" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_Rule10b51ArrTrmntdFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_Rule10b51ArrTrmntdFlag" xlink:to="lab_ecd_Rule10b51ArrTrmntdFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AggtErrCompAmt_terseLabel_en-US" xlink:label="lab_ecd_AggtErrCompAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate Erroneous Compensation Amount</link:label>
    <link:label id="lab_ecd_AggtErrCompAmt_label_en-US" xlink:label="lab_ecd_AggtErrCompAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Aggregate Erroneous Compensation Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AggtErrCompAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AggtErrCompAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AggtErrCompAmt" xlink:to="lab_ecd_AggtErrCompAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestPaidNet_019e6638-c590-7009-a0ff-47fe3e74aba9_terseLabel_en-US" xlink:label="lab_us-gaap_InterestPaidNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest paid during the period</link:label>
    <link:label id="lab_us-gaap_InterestPaidNet_label_en-US" xlink:label="lab_us-gaap_InterestPaidNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Paid, Excluding Capitalized Interest, Operating Activity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestPaidNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestPaidNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestPaidNet" xlink:to="lab_us-gaap_InterestPaidNet" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ExtinguishmentOfDebtAmount_019e6638-c4ec-7755-9e05-cc5363c95f64_terseLabel_en-US" xlink:label="lab_us-gaap_ExtinguishmentOfDebtAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt repaid</link:label>
    <link:label id="lab_us-gaap_ExtinguishmentOfDebtAmount_label_en-US" xlink:label="lab_us-gaap_ExtinguishmentOfDebtAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Extinguishment of Debt, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ExtinguishmentOfDebtAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ExtinguishmentOfDebtAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ExtinguishmentOfDebtAmount" xlink:to="lab_us-gaap_ExtinguishmentOfDebtAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember_019e6638-c4ec-72a0-bbfd-7b3e69279426_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Three, Greater Than Equal Product</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember_label_en-US" xlink:label="lab_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Three, Greater Than Equal Product [Member]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Three, Greater Than Equal Product</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember" xlink:href="obdc-20260630.xsd#obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember" xlink:to="lab_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_HedgingDesignationAxis_019e6638-c591-7246-a0e7-e416edabe203_terseLabel_en-US" xlink:label="lab_us-gaap_HedgingDesignationAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Hedging Designation [Axis]</link:label>
    <link:label id="lab_us-gaap_HedgingDesignationAxis_label_en-US" xlink:label="lab_us-gaap_HedgingDesignationAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Hedging Designation [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgingDesignationAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HedgingDesignationAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_HedgingDesignationAxis" xlink:to="lab_us-gaap_HedgingDesignationAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CreditFacilityAxis_019e6638-c4ec-7794-bad7-8e0cfd4d4c3d_terseLabel_en-US" xlink:label="lab_us-gaap_CreditFacilityAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Credit Facility [Axis]</link:label>
    <link:label id="lab_us-gaap_CreditFacilityAxis_label_en-US" xlink:label="lab_us-gaap_CreditFacilityAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Credit Facility [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CreditFacilityAxis" xlink:to="lab_us-gaap_CreditFacilityAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIVMember_019e6638-c590-7a71-91a9-40af5559a80f_terseLabel_en-US" xlink:label="lab_obdc_CLOIVMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO IV</link:label>
    <link:label id="lab_obdc_CLOIVMember_label_en-US" xlink:label="lab_obdc_CLOIVMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO IV [Member]</link:label>
    <link:label id="lab_obdc_CLOIVMember_documentation_en-US" xlink:label="lab_obdc_CLOIVMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO IV</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIVMember" xlink:href="obdc-20260630.xsd#obdc_CLOIVMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIVMember" xlink:to="lab_obdc_CLOIVMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_MeasureName_terseLabel_en-US" xlink:label="lab_ecd_MeasureName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Name</link:label>
    <link:label id="lab_ecd_MeasureName_label_en-US" xlink:label="lab_ecd_MeasureName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measure Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_MeasureName" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_MeasureName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_MeasureName" xlink:to="lab_ecd_MeasureName" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PayVsPerformanceDisclosureLineItems_label_en-US" xlink:label="lab_ecd_PayVsPerformanceDisclosureLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pay vs Performance Disclosure [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PayVsPerformanceDisclosureLineItems" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_PayVsPerformanceDisclosureLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PayVsPerformanceDisclosureLineItems" xlink:to="lab_ecd_PayVsPerformanceDisclosureLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_019e6638-c4ec-7fb6-9892-3c924f2335ee_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value Hierarchy and NAV [Domain]</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Hierarchy and NAV [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:to="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentLineItems_019e6638-c4ec-7ff7-a083-d8d96aa42910_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Instrument [Line Items]</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentLineItems_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentLineItems" xlink:to="lab_us-gaap_DebtInstrumentLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyCommittedCapital_019e6638-c427-72f0-b07d-42bcab24778a_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyCommittedCapital" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Investment company, committed capital</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyCommittedCapital_019e6638-c427-7226-8315-f835edc9e82c_netLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyCommittedCapital" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Capital Commitment</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyCommittedCapital_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyCommittedCapital" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Committed Capital</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyCommittedCapital" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyCommittedCapital"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyCommittedCapital" xlink:to="lab_us-gaap_InvestmentCompanyCommittedCapital" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InsuranceSectorMember_019e6638-c590-7d3a-9406-b00f76c5e1f8_terseLabel_en-US" xlink:label="lab_us-gaap_InsuranceSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Insurance</link:label>
    <link:label id="lab_us-gaap_InsuranceSectorMember_019e6638-c590-7cf2-95f3-67acfe798031_verboseLabel_en-US" xlink:label="lab_us-gaap_InsuranceSectorMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Insurance</link:label>
    <link:label id="lab_us-gaap_InsuranceSectorMember_label_en-US" xlink:label="lab_us-gaap_InsuranceSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Insurance Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InsuranceSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InsuranceSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InsuranceSectorMember" xlink:to="lab_us-gaap_InsuranceSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage_019e6638-c590-7dbb-af7d-abbcde31a486_terseLabel_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments floating rate percentage</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage_label_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Investments Floating Rate Percentage</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage_documentation_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Investments Floating Rate Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage" xlink:href="obdc-20260630.xsd#obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage" xlink:to="lab_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestReceivable_019e6638-c4ec-7f2b-bf83-10f2168a8bbe_verboseLabel_en-US" xlink:label="lab_us-gaap_InterestReceivable" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Interest and dividend receivable</link:label>
    <link:label id="lab_us-gaap_InterestReceivable_label_en-US" xlink:label="lab_us-gaap_InterestReceivable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Receivable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestReceivable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestReceivable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestReceivable" xlink:to="lab_us-gaap_InterestReceivable" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TrdArrIndName_terseLabel_en-US" xlink:label="lab_ecd_TrdArrIndName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Name</link:label>
    <link:label id="lab_ecd_TrdArrIndName_label_en-US" xlink:label="lab_ecd_TrdArrIndName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangement, Individual Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TrdArrIndName" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_TrdArrIndName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TrdArrIndName" xlink:to="lab_ecd_TrdArrIndName" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments_019e6638-c4ec-74ce-869c-5aa1cfc26e13_terseLabel_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net amortization/accretion of discount/premium on investments</link:label>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments_label_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement With Unobservable Inputs Reconciliation, Recurring Basis, Asset, Net Amortization/Accretion Of Premium/Discount On Investments</link:label>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments_documentation_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement With Unobservable Inputs Reconciliation, Recurring Basis, Asset, Net Amortization/Accretion Of Premium/Discount On Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments" xlink:href="obdc-20260630.xsd#obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments" xlink:to="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RealizedInvestmentGainsLossesAbstract_019e6638-c590-7fb0-96be-b16f73a57799_terseLabel_en-US" xlink:label="lab_us-gaap_RealizedInvestmentGainsLossesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net realized gain (loss):</link:label>
    <link:label id="lab_us-gaap_RealizedInvestmentGainsLossesAbstract_label_en-US" xlink:label="lab_us-gaap_RealizedInvestmentGainsLossesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Realized Investment Gains (Losses) [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RealizedInvestmentGainsLossesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RealizedInvestmentGainsLossesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealizedInvestmentGainsLossesAbstract" xlink:to="lab_us-gaap_RealizedInvestmentGainsLossesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_CoSelectedMeasureAmt_terseLabel_en-US" xlink:label="lab_ecd_CoSelectedMeasureAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Company Selected Measure Amount</link:label>
    <link:label id="lab_ecd_CoSelectedMeasureAmt_label_en-US" xlink:label="lab_ecd_CoSelectedMeasureAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Company Selected Measure Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_CoSelectedMeasureAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_CoSelectedMeasureAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_CoSelectedMeasureAmt" xlink:to="lab_ecd_CoSelectedMeasureAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage_019e6638-c427-7747-8110-f717502c0835_terseLabel_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair value equivalent percentage</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage_label_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Fair Value, Equivalent Percentage</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage_documentation_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Fair Value, Equivalent Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage" xlink:href="obdc-20260630.xsd#obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage" xlink:to="lab_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_JointVenturesMember_019e6638-c590-7623-a40d-a05a2bb4249b_terseLabel_en-US" xlink:label="lab_obdc_JointVenturesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Joint ventures</link:label>
    <link:label id="lab_obdc_JointVenturesMember_019e6638-c590-7514-a142-ea89761dde23_verboseLabel_en-US" xlink:label="lab_obdc_JointVenturesMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Joint ventures</link:label>
    <link:label id="lab_obdc_JointVenturesMember_label_en-US" xlink:label="lab_obdc_JointVenturesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Joint Ventures [Member]</link:label>
    <link:label id="lab_obdc_JointVenturesMember_documentation_en-US" xlink:label="lab_obdc_JointVenturesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Joint Ventures</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_JointVenturesMember" xlink:href="obdc-20260630.xsd#obdc_JointVenturesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_JointVenturesMember" xlink:to="lab_obdc_JointVenturesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SecuredOvernightFinancingRateSofrMember_019e6638-c4ec-743d-83b6-988de90e8c1c_terseLabel_en-US" xlink:label="lab_us-gaap_SecuredOvernightFinancingRateSofrMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">SOFR</link:label>
    <link:label id="lab_us-gaap_SecuredOvernightFinancingRateSofrMember_label_en-US" xlink:label="lab_us-gaap_SecuredOvernightFinancingRateSofrMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Secured Overnight Financing Rate (SOFR) [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SecuredOvernightFinancingRateSofrMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SecuredOvernightFinancingRateSofrMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SecuredOvernightFinancingRateSofrMember" xlink:to="lab_us-gaap_SecuredOvernightFinancingRateSofrMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember_019e6638-c4ec-7c73-a592-0f968fe2a0b6_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Average Gross Assets Below Asset Coverage Ratio</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Average Gross Assets Below Asset Coverage Ratio [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Average Gross Assets Below Asset Coverage Ratio</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember" xlink:href="obdc-20260630.xsd#obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_HealthcareEquipmentAndServicesMember_019e6638-c590-759c-9ec8-46daab596c96_terseLabel_en-US" xlink:label="lab_obdc_HealthcareEquipmentAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Healthcare equipment and services</link:label>
    <link:label id="lab_obdc_HealthcareEquipmentAndServicesMember_label_en-US" xlink:label="lab_obdc_HealthcareEquipmentAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Healthcare Equipment And Services [Member]</link:label>
    <link:label id="lab_obdc_HealthcareEquipmentAndServicesMember_documentation_en-US" xlink:label="lab_obdc_HealthcareEquipmentAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Healthcare Equipment And Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_HealthcareEquipmentAndServicesMember" xlink:href="obdc-20260630.xsd#obdc_HealthcareEquipmentAndServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_HealthcareEquipmentAndServicesMember" xlink:to="lab_obdc_HealthcareEquipmentAndServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PrimeRateMember_019e6638-c590-752f-b6ac-f7ba87cb035c_terseLabel_en-US" xlink:label="lab_us-gaap_PrimeRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Prime Rate</link:label>
    <link:label id="lab_us-gaap_PrimeRateMember_label_en-US" xlink:label="lab_us-gaap_PrimeRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Prime Rate [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrimeRateMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PrimeRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PrimeRateMember" xlink:to="lab_us-gaap_PrimeRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_NonPeoNeoMember_terseLabel_en-US" xlink:label="lab_ecd_NonPeoNeoMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-PEO NEO</link:label>
    <link:label id="lab_ecd_NonPeoNeoMember_label_en-US" xlink:label="lab_ecd_NonPeoNeoMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-PEO NEO [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_NonPeoNeoMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_NonPeoNeoMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_NonPeoNeoMember" xlink:to="lab_ecd_NonPeoNeoMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MeasurementInputTransactionPriceMember_019e6638-c4ec-735e-90e3-f9278c04da65_terseLabel_en-US" xlink:label="lab_obdc_MeasurementInputTransactionPriceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transaction Price</link:label>
    <link:label id="lab_obdc_MeasurementInputTransactionPriceMember_label_en-US" xlink:label="lab_obdc_MeasurementInputTransactionPriceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Transaction Price [Member]</link:label>
    <link:label id="lab_obdc_MeasurementInputTransactionPriceMember_documentation_en-US" xlink:label="lab_obdc_MeasurementInputTransactionPriceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input, Transaction Price</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MeasurementInputTransactionPriceMember" xlink:href="obdc-20260630.xsd#obdc_MeasurementInputTransactionPriceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MeasurementInputTransactionPriceMember" xlink:to="lab_obdc_MeasurementInputTransactionPriceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_019e6638-c4ec-7448-ba88-ce1109645d38_totalLabel_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total net unrealized and realized gain (loss) on foreign currency forward contracts</link:label>
    <link:label id="lab_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_label_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gain (Loss), Foreign Currency Transaction, before Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ForeignCurrencyTransactionGainLossBeforeTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax" xlink:to="lab_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit_019e6638-c590-74d0-99d8-2511d9895860_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Income tax expense (benefit), including excise tax expense (benefit)</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit_019e6638-c590-7576-9303-22028b6bf521_netLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">U.S. federal income tax expense (benefit)</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit_label_en-US" xlink:label="lab_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Income, Operating, Tax Expense (Benefit)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit" xlink:to="lab_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardTmgMethodTextBlock_terseLabel_en-US" xlink:label="lab_ecd_AwardTmgMethodTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Award Timing Method</link:label>
    <link:label id="lab_ecd_AwardTmgMethodTextBlock_label_en-US" xlink:label="lab_ecd_AwardTmgMethodTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Timing Method [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardTmgMethodTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AwardTmgMethodTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardTmgMethodTextBlock" xlink:to="lab_ecd_AwardTmgMethodTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_019e6638-c427-781a-bfce-ac7383daf8c3_totalLabel_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net increase (decrease) in cash and restricted cash, including foreign cash (restricted cash of $(27,049) and $(17,982), respectively)</link:label>
    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_label_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Period Increase (Decrease), Including Exchange Rate Effect and Discontinued Operation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" xlink:to="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock_terseLabel_en-US" xlink:label="lab_ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Forgone Recovery, Explanation of Impracticability</link:label>
    <link:label id="lab_ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock_label_en-US" xlink:label="lab_ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Forgone Recovery, Explanation of Impracticability [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock" xlink:to="lab_ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ValuationTechniqueRecentTransactionMember_019e6638-c4ec-735b-8bbc-0208906ed10f_terseLabel_en-US" xlink:label="lab_obdc_ValuationTechniqueRecentTransactionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transaction</link:label>
    <link:label id="lab_obdc_ValuationTechniqueRecentTransactionMember_label_en-US" xlink:label="lab_obdc_ValuationTechniqueRecentTransactionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique, Recent Transaction [Member]</link:label>
    <link:label id="lab_obdc_ValuationTechniqueRecentTransactionMember_documentation_en-US" xlink:label="lab_obdc_ValuationTechniqueRecentTransactionMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Valuation Technique, Recent Transaction</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ValuationTechniqueRecentTransactionMember" xlink:href="obdc-20260630.xsd#obdc_ValuationTechniqueRecentTransactionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ValuationTechniqueRecentTransactionMember" xlink:to="lab_obdc_ValuationTechniqueRecentTransactionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_AdvertisingAndMediaMember_019e6638-c590-7856-b791-b12add05f317_terseLabel_en-US" xlink:label="lab_obdc_AdvertisingAndMediaMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Advertising and media</link:label>
    <link:label id="lab_obdc_AdvertisingAndMediaMember_label_en-US" xlink:label="lab_obdc_AdvertisingAndMediaMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Advertising And Media [Member]</link:label>
    <link:label id="lab_obdc_AdvertisingAndMediaMember_documentation_en-US" xlink:label="lab_obdc_AdvertisingAndMediaMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Advertising And Media</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_AdvertisingAndMediaMember" xlink:href="obdc-20260630.xsd#obdc_AdvertisingAndMediaMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_AdvertisingAndMediaMember" xlink:to="lab_obdc_AdvertisingAndMediaMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_A2031NotesMember_019f5b2b-0df2-7cca-9816-598f300aee35_terseLabel_en-US" xlink:label="lab_obdc_A2031NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2031 Notes</link:label>
    <link:label id="lab_obdc_A2031NotesMember_label_en-US" xlink:label="lab_obdc_A2031NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">2031 Notes [Member]</link:label>
    <link:label id="lab_obdc_A2031NotesMember_documentation_en-US" xlink:label="lab_obdc_A2031NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">2031 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_A2031NotesMember" xlink:href="obdc-20260630.xsd#obdc_A2031NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_A2031NotesMember" xlink:to="lab_obdc_A2031NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetIncomeLoss_019e6638-c427-7ad5-9a8f-18bb34540300_totalLabel_en-US" xlink:label="lab_us-gaap_NetIncomeLoss" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net Increase (Decrease) in Net Assets Resulting from Operations</link:label>
    <link:label id="lab_us-gaap_NetIncomeLoss_019e6638-c427-7e25-8a02-458e0087d735_terseLabel_en-US" xlink:label="lab_us-gaap_NetIncomeLoss" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Increase (Decrease) in Net Assets Resulting from Operations</link:label>
    <link:label id="lab_us-gaap_NetIncomeLoss_019e6638-c427-76ea-a3a6-41c3f9a6cbde_verboseLabel_en-US" xlink:label="lab_us-gaap_NetIncomeLoss" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Increase (decrease) in net assets resulting from operations</link:label>
    <link:label id="lab_us-gaap_NetIncomeLoss_label_en-US" xlink:label="lab_us-gaap_NetIncomeLoss" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Income (Loss) Attributable to Parent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetIncomeLoss" xlink:to="lab_us-gaap_NetIncomeLoss" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongtermDebtTypeAxis_019e6638-c4ec-713a-8387-202f0b0a79c7_terseLabel_en-US" xlink:label="lab_us-gaap_LongtermDebtTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Type [Axis]</link:label>
    <link:label id="lab_us-gaap_LongtermDebtTypeAxis_label_en-US" xlink:label="lab_us-gaap_LongtermDebtTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongtermDebtTypeAxis" xlink:to="lab_us-gaap_LongtermDebtTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ErrCompAnalysisTextBlock_terseLabel_en-US" xlink:label="lab_ecd_ErrCompAnalysisTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Erroneous Compensation Analysis</link:label>
    <link:label id="lab_ecd_ErrCompAnalysisTextBlock_label_en-US" xlink:label="lab_ecd_ErrCompAnalysisTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Erroneous Compensation Analysis [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ErrCompAnalysisTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_ErrCompAnalysisTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ErrCompAnalysisTextBlock" xlink:to="lab_ecd_ErrCompAnalysisTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentsMember_019e6638-c590-75c0-841b-c908defecba8_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total</link:label>
    <link:label id="lab_us-gaap_InvestmentsMember_label_en-US" xlink:label="lab_us-gaap_InvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsMember" xlink:to="lab_us-gaap_InvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RestrictedInvestmentsAtFairValue_019e6638-c4ec-7e31-9bb2-2b1982436d1f_terseLabel_en-US" xlink:label="lab_us-gaap_RestrictedInvestmentsAtFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restricted investments, fair value</link:label>
    <link:label id="lab_us-gaap_RestrictedInvestmentsAtFairValue_label_en-US" xlink:label="lab_us-gaap_RestrictedInvestmentsAtFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restricted Investments, at Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedInvestmentsAtFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RestrictedInvestmentsAtFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RestrictedInvestmentsAtFairValue" xlink:to="lab_us-gaap_RestrictedInvestmentsAtFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BridgeLoanMember_019e6638-c4ec-716d-abf5-e4b11d632694_terseLabel_en-US" xlink:label="lab_us-gaap_BridgeLoanMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Bridge Loan</link:label>
    <link:label id="lab_us-gaap_BridgeLoanMember_label_en-US" xlink:label="lab_us-gaap_BridgeLoanMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Bridge Loan [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BridgeLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BridgeLoanMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BridgeLoanMember" xlink:to="lab_us-gaap_BridgeLoanMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_RestatementDateAxis_terseLabel_en-US" xlink:label="lab_ecd_RestatementDateAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restatement Determination Date:</link:label>
    <link:label id="lab_ecd_RestatementDateAxis_label_en-US" xlink:label="lab_ecd_RestatementDateAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restatement Determination Date [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_RestatementDateAxis" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_RestatementDateAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_RestatementDateAxis" xlink:to="lab_ecd_RestatementDateAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtSecuritiesFirstLienMember_019e6638-c590-7c82-b2fa-994d1e80594f_terseLabel_en-US" xlink:label="lab_obdc_DebtSecuritiesFirstLienMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">First-lien senior secured debt investments</link:label>
    <link:label id="lab_obdc_DebtSecuritiesFirstLienMember_019e6638-c590-7714-803f-24e6d54d25bf_verboseLabel_en-US" xlink:label="lab_obdc_DebtSecuritiesFirstLienMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">First-Lien Senior Secured</link:label>
    <link:label id="lab_obdc_DebtSecuritiesFirstLienMember_label_en-US" xlink:label="lab_obdc_DebtSecuritiesFirstLienMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Securities, First Lien [Member]</link:label>
    <link:label id="lab_obdc_DebtSecuritiesFirstLienMember_documentation_en-US" xlink:label="lab_obdc_DebtSecuritiesFirstLienMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Securities, First Lien</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtSecuritiesFirstLienMember" xlink:href="obdc-20260630.xsd#obdc_DebtSecuritiesFirstLienMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtSecuritiesFirstLienMember" xlink:to="lab_obdc_DebtSecuritiesFirstLienMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_019e6638-c4ec-722e-bb36-84e4d4a34a3c_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Liabilities assumed:</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Liability Assumed, Liability [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassA1NotesMember_019e6638-c427-7729-8ed1-3eb7924aebbb_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassA1NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-1 Notes</link:label>
    <link:label id="lab_obdc_CLOVIIClassA1NotesMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassA1NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-1 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassA1NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassA1NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-1 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassA1NotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOVIIClassA1NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassA1NotesMember" xlink:to="lab_obdc_CLOVIIClassA1NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentForManagementFee_019e6638-c4ec-772b-978d-83728c55e21f_terseLabel_en-US" xlink:label="lab_us-gaap_PaymentForManagementFee" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Management fee</link:label>
    <link:label id="lab_us-gaap_PaymentForManagementFee_label_en-US" xlink:label="lab_us-gaap_PaymentForManagementFee" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payment for Management Fee</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentForManagementFee" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentForManagementFee"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentForManagementFee" xlink:to="lab_us-gaap_PaymentForManagementFee" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue_019e6638-c4eb-76e9-8668-fb4a39dc6ae9_terseLabel_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments, at fair value (amortized cost of $4,234,860)</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue_label_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Assets Acquired, Investments, at Fair Value</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue_documentation_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Assets Acquired, Investments, at Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue" xlink:href="obdc-20260630.xsd#obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue" xlink:to="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtCommitmentsMember_019e6638-c590-79a7-845a-6d10884ba608_terseLabel_en-US" xlink:label="lab_obdc_DebtCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt commitments</link:label>
    <link:label id="lab_obdc_DebtCommitmentsMember_label_en-US" xlink:label="lab_obdc_DebtCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Commitments [Member]</link:label>
    <link:label id="lab_obdc_DebtCommitmentsMember_documentation_en-US" xlink:label="lab_obdc_DebtCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Commitments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtCommitmentsMember" xlink:href="obdc-20260630.xsd#obdc_DebtCommitmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtCommitmentsMember" xlink:to="lab_obdc_DebtCommitmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock_019e6638-c427-742b-8bee-08f522b1bf9e_terseLabel_en-US" xlink:label="lab_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Shares Distributed Pursuant to the Dividend Reinvestment Plan</link:label>
    <link:label id="lab_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock_label_en-US" xlink:label="lab_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule Of Shares Distributed, Dividend Reinvestment Plan [Table Text Block]</link:label>
    <link:label id="lab_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock_documentation_en-US" xlink:label="lab_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule Of Shares Distributed, Dividend Reinvestment Plan</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock" xlink:href="obdc-20260630.xsd#obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock" xlink:to="lab_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVClassA2RNotesMember_019e6638-c590-7a28-a712-f3b80edbcb8e_terseLabel_en-US" xlink:label="lab_obdc_CLOVClassA2RNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V, Class A-2R Notes</link:label>
    <link:label id="lab_obdc_CLOVClassA2RNotesMember_label_en-US" xlink:label="lab_obdc_CLOVClassA2RNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V, Class A-2R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVClassA2RNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVClassA2RNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V, Class A-2R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVClassA2RNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOVClassA2RNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVClassA2RNotesMember" xlink:to="lab_obdc_CLOVClassA2RNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassAL1LoansMember_019e6638-c4ec-7c92-bc1e-3143173e18b1_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassAL1LoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1 Loans</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL1LoansMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassAL1LoansMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1 Loans [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL1LoansMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassAL1LoansMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1 Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassAL1LoansMember" xlink:href="obdc-20260630.xsd#obdc_CLOVIIClassAL1LoansMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassAL1LoansMember" xlink:to="lab_obdc_CLOVIIClassAL1LoansMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PnsnBnftsAdjFnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_PnsnBnftsAdjFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pension Benefits Adjustments, Footnote</link:label>
    <link:label id="lab_ecd_PnsnBnftsAdjFnTextBlock_label_en-US" xlink:label="lab_ecd_PnsnBnftsAdjFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pension Benefits Adjustments, Footnote [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PnsnBnftsAdjFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_PnsnBnftsAdjFnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PnsnBnftsAdjFnTextBlock" xlink:to="lab_ecd_PnsnBnftsAdjFnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain_019e6638-c427-7e93-bb77-0134d531a135_terseLabel_en-US" xlink:label="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial Support to Nonconsolidated Legal Entity [Domain]</link:label>
    <link:label id="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain_label_en-US" xlink:label="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Support to Nonconsolidated Legal Entity [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain" xlink:to="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SpecialtyFinanceDebtInvestmentsMember_019e6638-c590-7551-b011-9094b20daf5d_terseLabel_en-US" xlink:label="lab_obdc_SpecialtyFinanceDebtInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Specialty finance debt investments</link:label>
    <link:label id="lab_obdc_SpecialtyFinanceDebtInvestmentsMember_label_en-US" xlink:label="lab_obdc_SpecialtyFinanceDebtInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Specialty Finance Debt Investments [Member]</link:label>
    <link:label id="lab_obdc_SpecialtyFinanceDebtInvestmentsMember_documentation_en-US" xlink:label="lab_obdc_SpecialtyFinanceDebtInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Specialty Finance Debt Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SpecialtyFinanceDebtInvestmentsMember" xlink:href="obdc-20260630.xsd#obdc_SpecialtyFinanceDebtInvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SpecialtyFinanceDebtInvestmentsMember" xlink:to="lab_obdc_SpecialtyFinanceDebtInvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ValuationTechniqueRecentTransaction1Member_019e6638-c427-7c43-8d06-9aa609e93737_terseLabel_en-US" xlink:label="lab_obdc_ValuationTechniqueRecentTransaction1Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transaction</link:label>
    <link:label id="lab_obdc_ValuationTechniqueRecentTransaction1Member_label_en-US" xlink:label="lab_obdc_ValuationTechniqueRecentTransaction1Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique, Recent Transaction 1 [Member]</link:label>
    <link:label id="lab_obdc_ValuationTechniqueRecentTransaction1Member_documentation_en-US" xlink:label="lab_obdc_ValuationTechniqueRecentTransaction1Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Valuation Technique, Recent Transaction 1</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ValuationTechniqueRecentTransaction1Member" xlink:href="obdc-20260630.xsd#obdc_ValuationTechniqueRecentTransaction1Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ValuationTechniqueRecentTransaction1Member" xlink:to="lab_obdc_ValuationTechniqueRecentTransaction1Member" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements_019e6638-c4ec-77c2-8904-33f25a03d220_terseLabel_en-US" xlink:label="lab_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Ratio of total expenses to average net assets</link:label>
    <link:label id="lab_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements_label_en-US" xlink:label="lab_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Expense Ratio Before Expense Support, Expense Recoupment, Fee Waiver And Reimbursements</link:label>
    <link:label id="lab_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements_documentation_en-US" xlink:label="lab_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Expense Ratio Before Expense Support, Expense Recoupment, Fee Waiver And Reimbursements</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements" xlink:href="obdc-20260630.xsd#obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements" xlink:to="lab_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_RangeMember_019e6638-c427-7d35-8033-8243a9e968bd_terseLabel_en-US" xlink:label="lab_srt_RangeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statistical Measurement [Domain]</link:label>
    <link:label id="lab_srt_RangeMember_label_en-US" xlink:label="lab_srt_RangeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statistical Measurement [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_RangeMember" xlink:to="lab_srt_RangeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentFiscalYearFocus_019e6638-c427-7f12-b619-309e208638d4_terseLabel_en-US" xlink:label="lab_dei_DocumentFiscalYearFocus" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Fiscal Year Focus</link:label>
    <link:label id="lab_dei_DocumentFiscalYearFocus_label_en-US" xlink:label="lab_dei_DocumentFiscalYearFocus" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Document Fiscal Year Focus</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentFiscalYearFocus" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentFiscalYearFocus"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentFiscalYearFocus" xlink:to="lab_dei_DocumentFiscalYearFocus" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationAcquisitionRelatedCosts_019e6638-c590-7373-91c3-b9a809a73596_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationAcquisitionRelatedCosts" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transaction costs, net</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationAcquisitionRelatedCosts_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationAcquisitionRelatedCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Acquisition-Related Cost, Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAcquisitionRelatedCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationAcquisitionRelatedCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationAcquisitionRelatedCosts" xlink:to="lab_us-gaap_BusinessCombinationAcquisitionRelatedCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ValuationTechniqueOptionPricingModelMember_019e6638-c427-7142-9314-3c8d35aa7d25_terseLabel_en-US" xlink:label="lab_us-gaap_ValuationTechniqueOptionPricingModelMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Option Pricing Model</link:label>
    <link:label id="lab_us-gaap_ValuationTechniqueOptionPricingModelMember_label_en-US" xlink:label="lab_us-gaap_ValuationTechniqueOptionPricingModelMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique, Option Pricing Model [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ValuationTechniqueOptionPricingModelMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ValuationTechniqueOptionPricingModelMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ValuationTechniqueOptionPricingModelMember" xlink:to="lab_us-gaap_ValuationTechniqueOptionPricingModelMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember_019e6638-c4ec-7f4e-b2f2-577fc9b98d4a_terseLabel_en-US" xlink:label="lab_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Debt And Miscellaneous Debt Investments</link:label>
    <link:label id="lab_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember_label_en-US" xlink:label="lab_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Debt And Miscellaneous Debt Investments [Member]</link:label>
    <link:label id="lab_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember_documentation_en-US" xlink:label="lab_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Net Debt And Miscellaneous Debt Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember" xlink:href="obdc-20260630.xsd#obdc_NetDebtAndMiscellaneousDebtInvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember" xlink:to="lab_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind_019e6638-c590-7bc2-9775-a8b39f689546_terseLabel_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Payment-in-kind</link:label>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind_label_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Payment-In-Kind</link:label>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind_documentation_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Payment-In-Kind</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind" xlink:href="obdc-20260630.xsd#obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind" xlink:to="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractGBP2Member_019fa3d1-12bf-747f-8947-2ad80563bff4_terseLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractGBP2Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency forward contract GBP</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractGBP2Member_label_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractGBP2Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract GBP 2 [Member]</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractGBP2Member_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractGBP2Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract GBP 2</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyForwardContractGBP2Member" xlink:href="obdc-20260630.xsd#obdc_ForeignCurrencyForwardContractGBP2Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyForwardContractGBP2Member" xlink:to="lab_obdc_ForeignCurrencyForwardContractGBP2Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockValue_019e6638-c4ec-78ba-af50-36ad5f912e63_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common shares $0.01 par value, 1,000,000,000 shares authorized; 493,142,569 and 499,448,499 shares issued and outstanding, respectively</link:label>
    <link:label id="lab_us-gaap_CommonStockValue_label_en-US" xlink:label="lab_us-gaap_CommonStockValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock, Value, Issued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockValue" xlink:to="lab_us-gaap_CommonStockValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfDebtInstrumentsTextBlock_019e6638-c4ec-7624-804d-25cec5ebfc62_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfDebtInstrumentsTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Debt Obligations</link:label>
    <link:label id="lab_us-gaap_ScheduleOfDebtInstrumentsTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfDebtInstrumentsTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Long-Term Debt Instruments [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfDebtInstrumentsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfDebtInstrumentsTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfDebtInstrumentsTextBlock" xlink:to="lab_us-gaap_ScheduleOfDebtInstrumentsTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditMember_019e6638-c591-7ff9-9a91-1dda3e837278_verboseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Line of credit</link:label>
    <link:label id="lab_us-gaap_LineOfCreditMember_019e6638-c591-7912-8651-6d0e46915b99_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Line of Credit</link:label>
    <link:label id="lab_us-gaap_LineOfCreditMember_label_en-US" xlink:label="lab_us-gaap_LineOfCreditMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditMember" xlink:to="lab_us-gaap_LineOfCreditMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_RestatementDeterminationDate_terseLabel_en-US" xlink:label="lab_ecd_RestatementDeterminationDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restatement Determination Date</link:label>
    <link:label id="lab_ecd_RestatementDeterminationDate_label_en-US" xlink:label="lab_ecd_RestatementDeterminationDate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restatement Determination Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_RestatementDeterminationDate" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_RestatementDeterminationDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_RestatementDeterminationDate" xlink:to="lab_ecd_RestatementDeterminationDate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentUnaffiliatedIssuerMember_019e6638-c590-79ea-9b01-3ce126b9e2aa_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentUnaffiliatedIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-controlled, non-affiliated investments</link:label>
    <link:label id="lab_us-gaap_InvestmentUnaffiliatedIssuerMember_label_en-US" xlink:label="lab_us-gaap_InvestmentUnaffiliatedIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Unaffiliated Issuer [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentUnaffiliatedIssuerMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentUnaffiliatedIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentUnaffiliatedIssuerMember" xlink:to="lab_us-gaap_InvestmentUnaffiliatedIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries_019e6638-c4ec-7d67-9ac7-9ed8280959a7_terseLabel_en-US" xlink:label="lab_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Tax expense for taxable subsidiaries</link:label>
    <link:label id="lab_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries_label_en-US" xlink:label="lab_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Tax Expense (Benefit) For Taxable Subsidiaries</link:label>
    <link:label id="lab_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries_documentation_en-US" xlink:label="lab_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Tax Expense (Benefit) For Taxable Subsidiaries</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries" xlink:href="obdc-20260630.xsd#obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries" xlink:to="lab_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SouthRegionMember_019e6638-c4ec-703d-9283-28ad02f9f59c_terseLabel_en-US" xlink:label="lab_us-gaap_SouthRegionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">South</link:label>
    <link:label id="lab_us-gaap_SouthRegionMember_label_en-US" xlink:label="lab_us-gaap_SouthRegionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">US South Region [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SouthRegionMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SouthRegionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SouthRegionMember" xlink:to="lab_us-gaap_SouthRegionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_AmendmentFlag_019e6638-c591-76bd-8de3-654b0c5f2af6_terseLabel_en-US" xlink:label="lab_dei_AmendmentFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amendment flag</link:label>
    <link:label id="lab_dei_AmendmentFlag_label_en-US" xlink:label="lab_dei_AmendmentFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Amendment Flag</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_AmendmentFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_AmendmentFlag" xlink:to="lab_dei_AmendmentFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PreferredStockRedemptionPricePerShare_019e6638-c590-7d6f-a239-47ce2da845e3_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockRedemptionPricePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Preferred stock, redemption price per share (in usd per share)</link:label>
    <link:label id="lab_us-gaap_PreferredStockRedemptionPricePerShare_label_en-US" xlink:label="lab_us-gaap_PreferredStockRedemptionPricePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Preferred Stock, Redemption Price Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockRedemptionPricePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PreferredStockRedemptionPricePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockRedemptionPricePerShare" xlink:to="lab_us-gaap_PreferredStockRedemptionPricePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_A2026StockRepurchaseProgramMember_019e6638-c4ec-7bd3-89a3-393bc094c512_terseLabel_en-US" xlink:label="lab_obdc_A2026StockRepurchaseProgramMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2026 Stock Repurchase Program</link:label>
    <link:label id="lab_obdc_A2026StockRepurchaseProgramMember_label_en-US" xlink:label="lab_obdc_A2026StockRepurchaseProgramMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">2026 Stock Repurchase Program [Member]</link:label>
    <link:label id="lab_obdc_A2026StockRepurchaseProgramMember_documentation_en-US" xlink:label="lab_obdc_A2026StockRepurchaseProgramMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">2026 Stock Repurchase Program</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_A2026StockRepurchaseProgramMember" xlink:href="obdc-20260630.xsd#obdc_A2026StockRepurchaseProgramMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_A2026StockRepurchaseProgramMember" xlink:to="lab_obdc_A2026StockRepurchaseProgramMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetInvestmentIncome_019e6638-c4ec-7f6f-80d9-180a4666bb5b_totalLabel_en-US" xlink:label="lab_us-gaap_NetInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net Investment Income (Loss) Before Taxes</link:label>
    <link:label id="lab_us-gaap_NetInvestmentIncome_label_en-US" xlink:label="lab_us-gaap_NetInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Investment Income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetInvestmentIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetInvestmentIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetInvestmentIncome" xlink:to="lab_us-gaap_NetInvestmentIncome" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MeasurementInputGrossProfitMultipleMember_019e6638-c4ec-7f76-a33a-6294657b4e5b_terseLabel_en-US" xlink:label="lab_obdc_MeasurementInputGrossProfitMultipleMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Gross Profit Multiple</link:label>
    <link:label id="lab_obdc_MeasurementInputGrossProfitMultipleMember_label_en-US" xlink:label="lab_obdc_MeasurementInputGrossProfitMultipleMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Gross Profit Multiple [Member]</link:label>
    <link:label id="lab_obdc_MeasurementInputGrossProfitMultipleMember_documentation_en-US" xlink:label="lab_obdc_MeasurementInputGrossProfitMultipleMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input, Gross Profit Multiple</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MeasurementInputGrossProfitMultipleMember" xlink:href="obdc-20260630.xsd#obdc_MeasurementInputGrossProfitMultipleMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MeasurementInputGrossProfitMultipleMember" xlink:to="lab_obdc_MeasurementInputGrossProfitMultipleMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentTypeCategorizationMember_019e6638-c591-71f9-89cd-c749f7b856ae_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentTypeCategorizationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments [Domain]</link:label>
    <link:label id="lab_us-gaap_InvestmentTypeCategorizationMember_label_en-US" xlink:label="lab_us-gaap_InvestmentTypeCategorizationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentTypeCategorizationMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentTypeCategorizationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentTypeCategorizationMember" xlink:to="lab_us-gaap_InvestmentTypeCategorizationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInManagementFeePayable_019e6638-c4ec-7a2d-b04c-229ea4e81bb7_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInManagementFeePayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase (decrease) in management fee payable</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInManagementFeePayable_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInManagementFeePayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Management Fee Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInManagementFeePayable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInManagementFeePayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInManagementFeePayable" xlink:to="lab_us-gaap_IncreaseDecreaseInManagementFeePayable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_LineOfCreditFacilityBorrowingBaseValue_019fccbc-6237-7bd7-97f5-03fc19b302f0_terseLabel_en-US" xlink:label="lab_obdc_LineOfCreditFacilityBorrowingBaseValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Borrowing base value</link:label>
    <link:label id="lab_obdc_LineOfCreditFacilityBorrowingBaseValue_label_en-US" xlink:label="lab_obdc_LineOfCreditFacilityBorrowingBaseValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Borrowing Base Value</link:label>
    <link:label id="lab_obdc_LineOfCreditFacilityBorrowingBaseValue_documentation_en-US" xlink:label="lab_obdc_LineOfCreditFacilityBorrowingBaseValue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Borrowing Base Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_LineOfCreditFacilityBorrowingBaseValue" xlink:href="obdc-20260630.xsd#obdc_LineOfCreditFacilityBorrowingBaseValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_LineOfCreditFacilityBorrowingBaseValue" xlink:to="lab_obdc_LineOfCreditFacilityBorrowingBaseValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodValueAcquisitions_019e6638-c4eb-7f57-818e-703fc38782e1_terseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueAcquisitions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issuance of common shares in connection with the Mergers</link:label>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodValueAcquisitions_label_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueAcquisitions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Issued During Period, Value, Acquisitions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodValueAcquisitions" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockIssuedDuringPeriodValueAcquisitions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodValueAcquisitions" xlink:to="lab_us-gaap_StockIssuedDuringPeriodValueAcquisitions" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIClassANRNotesMember_019e6638-c427-7b04-8d1f-addcad3afc02_terseLabel_en-US" xlink:label="lab_obdc_CLOIClassANRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I, Class A-NR Notes</link:label>
    <link:label id="lab_obdc_CLOIClassANRNotesMember_label_en-US" xlink:label="lab_obdc_CLOIClassANRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class A-NR Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassANRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassANRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class A-NR Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIClassANRNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIClassANRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIClassANRNotesMember" xlink:to="lab_obdc_CLOIClassANRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AdjToNonPeoNeoCompFnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_AdjToNonPeoNeoCompFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Adjustment to Non-PEO NEO Compensation Footnote</link:label>
    <link:label id="lab_ecd_AdjToNonPeoNeoCompFnTextBlock_label_en-US" xlink:label="lab_ecd_AdjToNonPeoNeoCompFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustment to Non-PEO NEO Compensation Footnote [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AdjToNonPeoNeoCompFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AdjToNonPeoNeoCompFnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AdjToNonPeoNeoCompFnTextBlock" xlink:to="lab_ecd_AdjToNonPeoNeoCompFnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityAddressStateOrProvince_019e6638-c4eb-7c31-8d6a-de86b4720a84_terseLabel_en-US" xlink:label="lab_dei_EntityAddressStateOrProvince" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Address, State or Province</link:label>
    <link:label id="lab_dei_EntityAddressStateOrProvince_label_en-US" xlink:label="lab_dei_EntityAddressStateOrProvince" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Address, State or Province</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressStateOrProvince"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressStateOrProvince" xlink:to="lab_dei_EntityAddressStateOrProvince" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember_019e6638-c590-72ca-86b9-a12d202fd70f_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Quarterly Threshold</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Quarterly Threshold [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Quarterly Threshold</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember" xlink:href="obdc-20260630.xsd#obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AerospaceSectorMember_019e6638-c427-72b1-9c1a-bef40904c748_terseLabel_en-US" xlink:label="lab_us-gaap_AerospaceSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aerospace and defense</link:label>
    <link:label id="lab_us-gaap_AerospaceSectorMember_label_en-US" xlink:label="lab_us-gaap_AerospaceSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Aerospace Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AerospaceSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AerospaceSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AerospaceSectorMember" xlink:to="lab_us-gaap_AerospaceSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PeoTotalCompAmt_terseLabel_en-US" xlink:label="lab_ecd_PeoTotalCompAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">PEO Total Compensation Amount</link:label>
    <link:label id="lab_ecd_PeoTotalCompAmt_label_en-US" xlink:label="lab_ecd_PeoTotalCompAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">PEO Total Compensation Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PeoTotalCompAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_PeoTotalCompAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PeoTotalCompAmt" xlink:to="lab_ecd_PeoTotalCompAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityAndDebtInstrumentFaceAmount_019e6638-c590-7c3c-9d1d-f21508dfb3ff_totalLabel_en-US" xlink:label="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityAndDebtInstrumentFaceAmount" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Debt</link:label>
    <link:label id="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityAndDebtInstrumentFaceAmount_label_en-US" xlink:label="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityAndDebtInstrumentFaceAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Maximum Borrowing Capacity And Debt Instrument, Face Amount</link:label>
    <link:label id="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityAndDebtInstrumentFaceAmount_documentation_en-US" xlink:label="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityAndDebtInstrumentFaceAmount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Maximum Borrowing Capacity And Debt Instrument, Face Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_LineOfCreditFacilityMaximumBorrowingCapacityAndDebtInstrumentFaceAmount" xlink:href="obdc-20260630.xsd#obdc_LineOfCreditFacilityMaximumBorrowingCapacityAndDebtInstrumentFaceAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_LineOfCreditFacilityMaximumBorrowingCapacityAndDebtInstrumentFaceAmount" xlink:to="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityAndDebtInstrumentFaceAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RetailSectorMember_019e6638-c4ec-727e-b6e4-544df5aba980_terseLabel_en-US" xlink:label="lab_us-gaap_RetailSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Specialty retail</link:label>
    <link:label id="lab_us-gaap_RetailSectorMember_label_en-US" xlink:label="lab_us-gaap_RetailSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Retail Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetailSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RetailSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RetailSectorMember" xlink:to="lab_us-gaap_RetailSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementCapitalGainsIncentiveFeeMember_019e6638-c4ec-7b60-b93b-3279dcc907e1_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementCapitalGainsIncentiveFeeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Performance based incentive fees based on capital gains</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementCapitalGainsIncentiveFeeMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementCapitalGainsIncentiveFeeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Capital Gains, Incentive Fee [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementCapitalGainsIncentiveFeeMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementCapitalGainsIncentiveFeeMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Capital Gains, Incentive Fee</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementCapitalGainsIncentiveFeeMember" xlink:href="obdc-20260630.xsd#obdc_InvestmentAdvisoryAgreementCapitalGainsIncentiveFeeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementCapitalGainsIncentiveFeeMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementCapitalGainsIncentiveFeeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIClassBNotesMember_019e6638-c590-76ea-856b-f48d3adfd61b_terseLabel_en-US" xlink:label="lab_obdc_CLOIClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I, Class B Notes</link:label>
    <link:label id="lab_obdc_CLOIClassBNotesMember_label_en-US" xlink:label="lab_obdc_CLOIClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class B Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassBNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class B Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIClassBNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIClassBNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIClassBNotesMember" xlink:to="lab_obdc_CLOIClassBNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_019e6638-c590-7d3a-85f4-bdb7965a01b6_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase (decrease) in accrued expenses and other liabilities</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Accrued Liabilities and Other Operating Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities" xlink:to="lab_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_ShareRepurchaseProgramDomain_019e6638-c590-791a-989c-c0f95db75117_terseLabel_en-US" xlink:label="lab_srt_ShareRepurchaseProgramDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share Repurchase Program [Domain]</link:label>
    <link:label id="lab_srt_ShareRepurchaseProgramDomain_label_en-US" xlink:label="lab_srt_ShareRepurchaseProgramDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share Repurchase Program [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ShareRepurchaseProgramDomain" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ShareRepurchaseProgramDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ShareRepurchaseProgramDomain" xlink:to="lab_srt_ShareRepurchaseProgramDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeNotionalAmount_019e6638-c4ec-7302-90a3-bfe06d654c53_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeNotionalAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Notional Amount</link:label>
    <link:label id="lab_us-gaap_DerivativeNotionalAmount_019e6638-c4ec-7c68-abb4-1c9538f691b1_verboseLabel_en-US" xlink:label="lab_us-gaap_DerivativeNotionalAmount" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Notional amount</link:label>
    <link:label id="lab_us-gaap_DerivativeNotionalAmount_label_en-US" xlink:label="lab_us-gaap_DerivativeNotionalAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative, Notional Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeNotionalAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeNotionalAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeNotionalAmount" xlink:to="lab_us-gaap_DerivativeNotionalAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_019e6638-c4ec-7905-9ea8-6793edc3c93a_verboseLabel_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Weighted Average Shares Outstanding - Basic (in shares)</link:label>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_019e6638-c4ec-70e7-96e2-8432e985f3a9_terseLabel_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Weighted average shares of common stock outstanding&#8212;basic (in shares)</link:label>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_019e6638-c4ec-7c61-81f7-f054a649adf5_netLabel_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Weighted-average shares outstanding (in shares)</link:label>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_label_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted Average Number of Shares Outstanding, Basic</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:to="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ORCCIIIFinancingIIMember_019e6638-c4ec-74f3-97a3-a1128fc0a019_terseLabel_en-US" xlink:label="lab_obdc_ORCCIIIFinancingIIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">ORCC III Financing II</link:label>
    <link:label id="lab_obdc_ORCCIIIFinancingIIMember_label_en-US" xlink:label="lab_obdc_ORCCIIIFinancingIIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">ORCC III Financing II [Member]</link:label>
    <link:label id="lab_obdc_ORCCIIIFinancingIIMember_documentation_en-US" xlink:label="lab_obdc_ORCCIIIFinancingIIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">ORCC III Financing II</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ORCCIIIFinancingIIMember" xlink:href="obdc-20260630.xsd#obdc_ORCCIIIFinancingIIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ORCCIIIFinancingIIMember" xlink:to="lab_obdc_ORCCIIIFinancingIIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CommitmentToIndirectlyOwnedSubsidiaryMember_019e6638-c427-7f6c-89b8-946e70e6039b_terseLabel_en-US" xlink:label="lab_obdc_CommitmentToIndirectlyOwnedSubsidiaryMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitment To Indirectly Owned Subsidiary</link:label>
    <link:label id="lab_obdc_CommitmentToIndirectlyOwnedSubsidiaryMember_label_en-US" xlink:label="lab_obdc_CommitmentToIndirectlyOwnedSubsidiaryMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitment To Indirectly Owned Subsidiary [Member]</link:label>
    <link:label id="lab_obdc_CommitmentToIndirectlyOwnedSubsidiaryMember_documentation_en-US" xlink:label="lab_obdc_CommitmentToIndirectlyOwnedSubsidiaryMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Commitment To Indirectly Owned Subsidiary</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CommitmentToIndirectlyOwnedSubsidiaryMember" xlink:href="obdc-20260630.xsd#obdc_CommitmentToIndirectlyOwnedSubsidiaryMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CommitmentToIndirectlyOwnedSubsidiaryMember" xlink:to="lab_obdc_CommitmentToIndirectlyOwnedSubsidiaryMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIClassALRNotesMember_019e6638-c591-7024-9cd6-e79d45e3368c_terseLabel_en-US" xlink:label="lab_obdc_CLOIClassALRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I, Class A-LR Notes</link:label>
    <link:label id="lab_obdc_CLOIClassALRNotesMember_label_en-US" xlink:label="lab_obdc_CLOIClassALRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class A-LR Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassALRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassALRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class A-LR Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIClassALRNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIClassALRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIClassALRNotesMember" xlink:to="lab_obdc_CLOIClassALRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock_019f5b53-cfce-7c1c-8aaa-3cd0eefb4e91_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Related Party Transactions Fees and Expenses</link:label>
    <link:label id="lab_us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Related Party Transactions [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentsAbstract_019e6638-c590-74fd-bcee-29bbc78d5006_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Investments [Abstract]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentsAbstract_label_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Investments [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfInvestmentsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfInvestmentsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfInvestmentsAbstract" xlink:to="lab_us-gaap_ScheduleOfInvestmentsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXIVClassALNotesMember_019e6638-c4ec-72a5-8631-e2d24d67efd1_verboseLabel_en-US" xlink:label="lab_obdc_CLOXIVClassALNotesMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">CLO XIV, Class A-L Notes</link:label>
    <link:label id="lab_obdc_CLOXIVClassALNotesMember_label_en-US" xlink:label="lab_obdc_CLOXIVClassALNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO XIV, Class A-L Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOXIVClassALNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOXIVClassALNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO XIV, Class A-L Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXIVClassALNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOXIVClassALNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXIVClassALNotesMember" xlink:to="lab_obdc_CLOXIVClassALNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentCompanyNonconsolidatedSubsidiarySummarizedCapitalCommitmentAndEconomicOwnershipTableTextBlock_019e6638-c4ec-7d5b-92c8-04c865209505_terseLabel_en-US" xlink:label="lab_obdc_InvestmentCompanyNonconsolidatedSubsidiarySummarizedCapitalCommitmentAndEconomicOwnershipTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Capital Commitment and Economic Ownership</link:label>
    <link:label id="lab_obdc_InvestmentCompanyNonconsolidatedSubsidiarySummarizedCapitalCommitmentAndEconomicOwnershipTableTextBlock_label_en-US" xlink:label="lab_obdc_InvestmentCompanyNonconsolidatedSubsidiarySummarizedCapitalCommitmentAndEconomicOwnershipTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company Nonconsolidated Subsidiary Summarized Capital Commitment And Economic Ownership [Table Text Block]</link:label>
    <link:label id="lab_obdc_InvestmentCompanyNonconsolidatedSubsidiarySummarizedCapitalCommitmentAndEconomicOwnershipTableTextBlock_documentation_en-US" xlink:label="lab_obdc_InvestmentCompanyNonconsolidatedSubsidiarySummarizedCapitalCommitmentAndEconomicOwnershipTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company Nonconsolidated Subsidiary Summarized Capital Commitment And Economic Ownership</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentCompanyNonconsolidatedSubsidiarySummarizedCapitalCommitmentAndEconomicOwnershipTableTextBlock" xlink:href="obdc-20260630.xsd#obdc_InvestmentCompanyNonconsolidatedSubsidiarySummarizedCapitalCommitmentAndEconomicOwnershipTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentCompanyNonconsolidatedSubsidiarySummarizedCapitalCommitmentAndEconomicOwnershipTableTextBlock" xlink:to="lab_obdc_InvestmentCompanyNonconsolidatedSubsidiarySummarizedCapitalCommitmentAndEconomicOwnershipTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TwoThousandTwentyEightNotesMember_019e6638-c590-7104-88b9-e7e239b3689a_terseLabel_en-US" xlink:label="lab_obdc_TwoThousandTwentyEightNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2028 Notes</link:label>
    <link:label id="lab_obdc_TwoThousandTwentyEightNotesMember_label_en-US" xlink:label="lab_obdc_TwoThousandTwentyEightNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Eight Notes [Member]</link:label>
    <link:label id="lab_obdc_TwoThousandTwentyEightNotesMember_documentation_en-US" xlink:label="lab_obdc_TwoThousandTwentyEightNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Eight Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TwoThousandTwentyEightNotesMember" xlink:href="obdc-20260630.xsd#obdc_TwoThousandTwentyEightNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TwoThousandTwentyEightNotesMember" xlink:to="lab_obdc_TwoThousandTwentyEightNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet_019e6638-c591-7bfd-9e6d-314196e21f18_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">(Increase) decrease in interest and dividend receivable</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Accrued Interest Receivable, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet" xlink:to="lab_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature_019e6638-c4ec-77a8-9382-3cfcc785b1d4_terseLabel_en-US" xlink:label="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Line of credit facility, including the accordion feature</link:label>
    <link:label id="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature_label_en-US" xlink:label="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Maximum Borrowing Capacity, Including Accordion Feature</link:label>
    <link:label id="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature_documentation_en-US" xlink:label="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Maximum Borrowing Capacity, Including Accordion Feature</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature" xlink:href="obdc-20260630.xsd#obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature" xlink:to="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermDebtAverageAmountOutstanding_019e6638-c427-7c82-9508-ea9a5b3a8261_terseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebtAverageAmountOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Average daily borrowings</link:label>
    <link:label id="lab_us-gaap_LongTermDebtAverageAmountOutstanding_label_en-US" xlink:label="lab_us-gaap_LongTermDebtAverageAmountOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Average Amount Outstanding</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtAverageAmountOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongTermDebtAverageAmountOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermDebtAverageAmountOutstanding" xlink:to="lab_us-gaap_LongTermDebtAverageAmountOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_HumanResourceSupportServicesMember_019e6638-c590-788d-8676-5ba2b57610ea_terseLabel_en-US" xlink:label="lab_obdc_HumanResourceSupportServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Human resource support services</link:label>
    <link:label id="lab_obdc_HumanResourceSupportServicesMember_label_en-US" xlink:label="lab_obdc_HumanResourceSupportServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Human Resource Support Services [Member]</link:label>
    <link:label id="lab_obdc_HumanResourceSupportServicesMember_documentation_en-US" xlink:label="lab_obdc_HumanResourceSupportServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Human Resource Support Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_HumanResourceSupportServicesMember" xlink:href="obdc-20260630.xsd#obdc_HumanResourceSupportServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_HumanResourceSupportServicesMember" xlink:to="lab_obdc_HumanResourceSupportServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardTmgMnpiDiscTextBlock_terseLabel_en-US" xlink:label="lab_ecd_AwardTmgMnpiDiscTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Award Timing MNPI Disclosure</link:label>
    <link:label id="lab_ecd_AwardTmgMnpiDiscTextBlock_label_en-US" xlink:label="lab_ecd_AwardTmgMnpiDiscTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Timing MNPI Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardTmgMnpiDiscTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AwardTmgMnpiDiscTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardTmgMnpiDiscTextBlock" xlink:to="lab_ecd_AwardTmgMnpiDiscTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BasisOfAccountingPolicyPolicyTextBlock_019e6638-c4ec-7e50-bcc6-967e34cb8531_terseLabel_en-US" xlink:label="lab_us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Basis of Presentation</link:label>
    <link:label id="lab_us-gaap_BasisOfAccountingPolicyPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Basis of Accounting, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BasisOfAccountingPolicyPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xlink:to="lab_us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed_019e6638-c590-7b70-b0c9-03533fd71465_terseLabel_en-US" xlink:label="lab_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of fee and expenses reimbursed</link:label>
    <link:label id="lab_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed_label_en-US" xlink:label="lab_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Acquisition, Percentage Of Fee And Expenses Reimbursed</link:label>
    <link:label id="lab_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed_documentation_en-US" xlink:label="lab_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Acquisition, Percentage Of Fee And Expenses Reimbursed</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed" xlink:href="obdc-20260630.xsd#obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed" xlink:to="lab_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeMember_019e6638-c4ec-7ed1-a3e0-1c969ff98218_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Management Fee</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementManagementFeeMember" xlink:href="obdc-20260630.xsd#obdc_InvestmentAdvisoryAgreementManagementFeeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementManagementFeeMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementManagementFeeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EuroInterbankOfferedRateMember_019e6638-c4ec-7c20-89bd-115b7cfdfba9_terseLabel_en-US" xlink:label="lab_obdc_EuroInterbankOfferedRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EURIBOR Plus</link:label>
    <link:label id="lab_obdc_EuroInterbankOfferedRateMember_label_en-US" xlink:label="lab_obdc_EuroInterbankOfferedRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Euro Interbank Offered Rate [Member]</link:label>
    <link:label id="lab_obdc_EuroInterbankOfferedRateMember_documentation_en-US" xlink:label="lab_obdc_EuroInterbankOfferedRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Euro Interbank Offered Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EuroInterbankOfferedRateMember" xlink:href="obdc-20260630.xsd#obdc_EuroInterbankOfferedRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EuroInterbankOfferedRateMember" xlink:to="lab_obdc_EuroInterbankOfferedRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossReductions_019e6638-c4ec-7573-8564-24acf093136d_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossReductions" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Gross Reductions</link:label>
    <link:label id="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossReductions_label_en-US" xlink:label="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossReductions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments in and Advances to Affiliates, at Fair Value, Gross Reductions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossReductions" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossReductions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossReductions" xlink:to="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossReductions" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_019e6638-c427-7cbb-af3b-8354012199fe_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate Principal Committed</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_019e6638-c427-72b5-b1ee-2a39db3b1b40_verboseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Maximum principal amount</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_label_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Maximum Borrowing Capacity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:to="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIVIssuerMember_019e6638-c591-768e-b5ce-bd0235947b2a_terseLabel_en-US" xlink:label="lab_obdc_CLOIVIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO IV Issuer</link:label>
    <link:label id="lab_obdc_CLOIVIssuerMember_label_en-US" xlink:label="lab_obdc_CLOIVIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO IV Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOIVIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOIVIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO IV Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIVIssuerMember" xlink:href="obdc-20260630.xsd#obdc_CLOIVIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIVIssuerMember" xlink:to="lab_obdc_CLOIVIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyNetAssetValuePerSharePeriodIncreaseDecrease_019e6638-c4ec-7850-b1a3-a5d4f636245c_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNetAssetValuePerSharePeriodIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total increase (decrease) in net assets (in usd per share)</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyNetAssetValuePerSharePeriodIncreaseDecrease_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNetAssetValuePerSharePeriodIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Net Asset Value, Per Share, Period Increase (Decrease)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyNetAssetValuePerSharePeriodIncreaseDecrease" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyNetAssetValuePerSharePeriodIncreaseDecrease"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyNetAssetValuePerSharePeriodIncreaseDecrease" xlink:to="lab_us-gaap_InvestmentCompanyNetAssetValuePerSharePeriodIncreaseDecrease" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTextBlock_019e6638-c590-72e7-aaf9-072fe28995e6_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments</link:label>
    <link:label id="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTextBlock_label_en-US" xlink:label="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Investments [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentHoldingsScheduleOfInvestmentsTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTextBlock" xlink:to="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestRateSwapsSeptember2028NotesMember_019fa3ce-ffa3-72a5-a2a2-7005a64f1132_terseLabel_en-US" xlink:label="lab_obdc_InterestRateSwapsSeptember2028NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest Rate Swap September 2028 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwapsSeptember2028NotesMember_019fb22f-2e35-7ef8-bc6c-2cde694aab82_netLabel_en-US" xlink:label="lab_obdc_InterestRateSwapsSeptember2028NotesMember" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Interest Rate Swap 2028 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwapsSeptember2028NotesMember_019fa3d6-745a-7573-b79a-2b8eb0b7831c_verboseLabel_en-US" xlink:label="lab_obdc_InterestRateSwapsSeptember2028NotesMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">September 2028 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwapsSeptember2028NotesMember_label_en-US" xlink:label="lab_obdc_InterestRateSwapsSeptember2028NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps, September 2028 Notes [Member]</link:label>
    <link:label id="lab_obdc_InterestRateSwapsSeptember2028NotesMember_documentation_en-US" xlink:label="lab_obdc_InterestRateSwapsSeptember2028NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps, September 2028 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestRateSwapsSeptember2028NotesMember" xlink:href="obdc-20260630.xsd#obdc_InterestRateSwapsSeptember2028NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestRateSwapsSeptember2028NotesMember" xlink:to="lab_obdc_InterestRateSwapsSeptember2028NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIncomeInvestmentExpense_019e6638-c4ec-7a2b-aff9-f599707a09da_totalLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeInvestmentExpense" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Operating Expenses</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeInvestmentExpense_019e6638-c4ec-7abd-8318-cc89e527c415_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeInvestmentExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net operating expenses</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeInvestmentExpense_label_en-US" xlink:label="lab_us-gaap_InvestmentIncomeInvestmentExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Income, Investment Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeInvestmentExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentIncomeInvestmentExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIncomeInvestmentExpense" xlink:to="lab_us-gaap_InvestmentIncomeInvestmentExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_019e6638-c590-7e94-a5c6-7f3b816d518e_terseLabel_en-US" xlink:label="lab_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">New Accounting Pronouncements</link:label>
    <link:label id="lab_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">New Accounting Pronouncements, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock" xlink:to="lab_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentThresholdAxis_019e6638-c4ec-7eb8-b122-64c8b64a3237_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentThresholdAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Instrument Threshold [Axis]</link:label>
    <link:label id="lab_obdc_DebtInstrumentThresholdAxis_label_en-US" xlink:label="lab_obdc_DebtInstrumentThresholdAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument Threshold [Axis]</link:label>
    <link:label id="lab_obdc_DebtInstrumentThresholdAxis_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentThresholdAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument Threshold</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentThresholdAxis" xlink:href="obdc-20260630.xsd#obdc_DebtInstrumentThresholdAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentThresholdAxis" xlink:to="lab_obdc_DebtInstrumentThresholdAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AmortizationOfFinancingCosts_019e6638-c590-723e-b097-ed864f490119_verboseLabel_en-US" xlink:label="lab_us-gaap_AmortizationOfFinancingCosts" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Amortization of debt issuance costs</link:label>
    <link:label id="lab_us-gaap_AmortizationOfFinancingCosts_019e6638-c590-74b8-b7c2-859679398dd6_terseLabel_en-US" xlink:label="lab_us-gaap_AmortizationOfFinancingCosts" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amortization of debt issuance costs</link:label>
    <link:label id="lab_us-gaap_AmortizationOfFinancingCosts_label_en-US" xlink:label="lab_us-gaap_AmortizationOfFinancingCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Amortization of Debt Issuance Costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfFinancingCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AmortizationOfFinancingCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AmortizationOfFinancingCosts" xlink:to="lab_us-gaap_AmortizationOfFinancingCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnsecuredDebtMember_019e6638-c590-79e7-9f5f-1ba22d1ef82a_verboseLabel_en-US" xlink:label="lab_us-gaap_UnsecuredDebtMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Unsecured debt investments</link:label>
    <link:label id="lab_us-gaap_UnsecuredDebtMember_019e6638-c590-7300-b1a7-ab918d970227_terseLabel_en-US" xlink:label="lab_us-gaap_UnsecuredDebtMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unsecured Debt</link:label>
    <link:label id="lab_us-gaap_UnsecuredDebtMember_019e6638-c590-7feb-8598-e3119cbce84f_netLabel_en-US" xlink:label="lab_us-gaap_UnsecuredDebtMember" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Unsecured</link:label>
    <link:label id="lab_us-gaap_UnsecuredDebtMember_label_en-US" xlink:label="lab_us-gaap_UnsecuredDebtMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unsecured Debt [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnsecuredDebtMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UnsecuredDebtMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnsecuredDebtMember" xlink:to="lab_us-gaap_UnsecuredDebtMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_RepurchaseProgram2026Member_019e6638-c4ec-7945-8872-46c1cb9d884d_terseLabel_en-US" xlink:label="lab_obdc_RepurchaseProgram2026Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repurchase Program 2026</link:label>
    <link:label id="lab_obdc_RepurchaseProgram2026Member_label_en-US" xlink:label="lab_obdc_RepurchaseProgram2026Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repurchase Program 2026 [Member]</link:label>
    <link:label id="lab_obdc_RepurchaseProgram2026Member_documentation_en-US" xlink:label="lab_obdc_RepurchaseProgram2026Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Repurchase Program 2026</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_RepurchaseProgram2026Member" xlink:href="obdc-20260630.xsd#obdc_RepurchaseProgram2026Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RepurchaseProgram2026Member" xlink:to="lab_obdc_RepurchaseProgram2026Member" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVClassA1NotesMember_019e6638-c427-7ad6-a5d9-d8f984239a59_terseLabel_en-US" xlink:label="lab_obdc_CLOVClassA1NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V, Class A-1 Notes</link:label>
    <link:label id="lab_obdc_CLOVClassA1NotesMember_label_en-US" xlink:label="lab_obdc_CLOVClassA1NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V, Class A-1 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVClassA1NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVClassA1NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V, Class A-1 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVClassA1NotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOVClassA1NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVClassA1NotesMember" xlink:to="lab_obdc_CLOVClassA1NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_GoldmanSachsBankUSAMember_019e6638-c590-72a1-8614-b3b463bdb819_terseLabel_en-US" xlink:label="lab_obdc_GoldmanSachsBankUSAMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Goldman Sachs Bank USA</link:label>
    <link:label id="lab_obdc_GoldmanSachsBankUSAMember_label_en-US" xlink:label="lab_obdc_GoldmanSachsBankUSAMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Goldman Sachs Bank USA [Member]</link:label>
    <link:label id="lab_obdc_GoldmanSachsBankUSAMember_documentation_en-US" xlink:label="lab_obdc_GoldmanSachsBankUSAMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Goldman Sachs Bank USA</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_GoldmanSachsBankUSAMember" xlink:href="obdc-20260630.xsd#obdc_GoldmanSachsBankUSAMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_GoldmanSachsBankUSAMember" xlink:to="lab_obdc_GoldmanSachsBankUSAMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseDueFromAffiliates_019e6638-c590-7e1b-a566-68512b497231_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">(Increase) decrease in receivable from a controlled affiliate</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseDueFromAffiliates_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) Due from Affiliates</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseDueFromAffiliates"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:to="lab_us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan_019e6638-c427-74e6-a220-e492507d38a7_terseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividend reinvestment plan shares (in shares)</link:label>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan_label_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Issued During Period, Shares, Dividend Reinvestment Plan</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan" xlink:to="lab_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVClassC1NotesMember_019e6638-c591-7f0a-8c1b-34fd27645798_terseLabel_en-US" xlink:label="lab_obdc_CLOVClassC1NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V, Class C-1 Notes</link:label>
    <link:label id="lab_obdc_CLOVClassC1NotesMember_label_en-US" xlink:label="lab_obdc_CLOVClassC1NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V, Class C-1 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVClassC1NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVClassC1NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V, Class C-1 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVClassC1NotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOVClassC1NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVClassC1NotesMember" xlink:to="lab_obdc_CLOVClassC1NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIClassA1LNotesMember_019e6638-c591-74db-ad6a-2e40e1d328fe_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIClassA1LNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO III, Class A-1L Notes</link:label>
    <link:label id="lab_obdc_CLOIIIClassA1LNotesMember_label_en-US" xlink:label="lab_obdc_CLOIIIClassA1LNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO III, Class A-1L Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIClassA1LNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIClassA1LNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO III, Class A-1L Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIClassA1LNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIIIClassA1LNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIClassA1LNotesMember" xlink:to="lab_obdc_CLOIIIClassA1LNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermDebt_019e6638-c590-7383-aab4-8d1c0fb27a29_terseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt (net of unamortized debt issuance costs of $101,772 and $93,186, respectively)</link:label>
    <link:label id="lab_us-gaap_LongTermDebt_019e6638-c590-7b13-b91b-97d1430b2b36_verboseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebt" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Total Debt (net of unamortized debt issuance costs)</link:label>
    <link:label id="lab_us-gaap_LongTermDebt_019e6638-c590-7911-9615-9a0e7a2d5726_netLabel_en-US" xlink:label="lab_us-gaap_LongTermDebt" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Debt</link:label>
    <link:label id="lab_us-gaap_LongTermDebt_label_en-US" xlink:label="lab_us-gaap_LongTermDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongTermDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermDebt" xlink:to="lab_us-gaap_LongTermDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestRateSwap2029NotesMember_019e6638-c590-7087-8f49-ea7fe70198a7_terseLabel_en-US" xlink:label="lab_obdc_InterestRateSwap2029NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2029 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwap2029NotesMember_label_en-US" xlink:label="lab_obdc_InterestRateSwap2029NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2029 Notes [Member]</link:label>
    <link:label id="lab_obdc_InterestRateSwap2029NotesMember_documentation_en-US" xlink:label="lab_obdc_InterestRateSwap2029NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2029 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestRateSwap2029NotesMember" xlink:href="obdc-20260630.xsd#obdc_InterestRateSwap2029NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestRateSwap2029NotesMember" xlink:to="lab_obdc_InterestRateSwap2029NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_019e6638-c427-73a9-b0f1-1d1d67332a12_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Changes in operating assets and liabilities:</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity, Increase (Decrease) in Operating Capital [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInOperatingCapitalAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:to="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ThreeMonthCORRAMember_019e6638-c4ec-7ec6-93b6-d8d162b9c9ef_terseLabel_en-US" xlink:label="lab_obdc_ThreeMonthCORRAMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject to 3 month CORRA</link:label>
    <link:label id="lab_obdc_ThreeMonthCORRAMember_label_en-US" xlink:label="lab_obdc_ThreeMonthCORRAMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Three Month CORRA [Member]</link:label>
    <link:label id="lab_obdc_ThreeMonthCORRAMember_documentation_en-US" xlink:label="lab_obdc_ThreeMonthCORRAMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Three Month CORRA</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ThreeMonthCORRAMember" xlink:href="obdc-20260630.xsd#obdc_ThreeMonthCORRAMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ThreeMonthCORRAMember" xlink:to="lab_obdc_ThreeMonthCORRAMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_EqtyAwrdsAdjsExclgValRprtdInSummryCompstnTblMember_terseLabel_en-US" xlink:label="lab_ecd_EqtyAwrdsAdjsExclgValRprtdInSummryCompstnTblMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Awards Adjustments, Excluding Value Reported in Compensation Table</link:label>
    <link:label id="lab_ecd_EqtyAwrdsAdjsExclgValRprtdInSummryCompstnTblMember_label_en-US" xlink:label="lab_ecd_EqtyAwrdsAdjsExclgValRprtdInSummryCompstnTblMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Awards Adjustments, Excluding Value Reported in the Compensation Table [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_EqtyAwrdsAdjsExclgValRprtdInSummryCompstnTblMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_EqtyAwrdsAdjsExclgValRprtdInSummryCompstnTblMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_EqtyAwrdsAdjsExclgValRprtdInSummryCompstnTblMember" xlink:to="lab_ecd_EqtyAwrdsAdjsExclgValRprtdInSummryCompstnTblMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock_019e6638-c591-7b14-af2f-3b65a43256bf_terseLabel_en-US" xlink:label="lab_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Outstanding Commitments</link:label>
    <link:label id="lab_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock_label_en-US" xlink:label="lab_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule For Financial Support For Nonconsolidated Entity [Table Text Block]</link:label>
    <link:label id="lab_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock_documentation_en-US" xlink:label="lab_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule For Financial Support For Nonconsolidated Entity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock" xlink:href="obdc-20260630.xsd#obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock" xlink:to="lab_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockholdersEquityNoteDisclosureTextBlock_019e6638-c427-7453-aad2-156736fa1faa_terseLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquityNoteDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Assets</link:label>
    <link:label id="lab_us-gaap_StockholdersEquityNoteDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_StockholdersEquityNoteDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityNoteDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquityNoteDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockholdersEquityNoteDisclosureTextBlock" xlink:to="lab_us-gaap_StockholdersEquityNoteDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_PortfolioCommitmentsMember_019e6638-c590-780e-abe0-e8c7ccffc7ad_terseLabel_en-US" xlink:label="lab_obdc_PortfolioCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Portfolio Commitments</link:label>
    <link:label id="lab_obdc_PortfolioCommitmentsMember_label_en-US" xlink:label="lab_obdc_PortfolioCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Portfolio Commitments [Member]</link:label>
    <link:label id="lab_obdc_PortfolioCommitmentsMember_documentation_en-US" xlink:label="lab_obdc_PortfolioCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Portfolio Commitments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_PortfolioCommitmentsMember" xlink:href="obdc-20260630.xsd#obdc_PortfolioCommitmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_PortfolioCommitmentsMember" xlink:to="lab_obdc_PortfolioCommitmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_SecurityExchangeName_019e6638-c4ec-73d1-a85f-10aa0d870230_terseLabel_en-US" xlink:label="lab_dei_SecurityExchangeName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Security Exchange Name</link:label>
    <link:label id="lab_dei_SecurityExchangeName_label_en-US" xlink:label="lab_dei_SecurityExchangeName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Security Exchange Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SecurityExchangeName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_SecurityExchangeName" xlink:to="lab_dei_SecurityExchangeName" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_HealthcareTechnologyMember_019e6638-c591-7f01-99b9-c9f4dabf67e2_verboseLabel_en-US" xlink:label="lab_obdc_HealthcareTechnologyMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Healthcare technology</link:label>
    <link:label id="lab_obdc_HealthcareTechnologyMember_label_en-US" xlink:label="lab_obdc_HealthcareTechnologyMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Healthcare Technology [Member]</link:label>
    <link:label id="lab_obdc_HealthcareTechnologyMember_documentation_en-US" xlink:label="lab_obdc_HealthcareTechnologyMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Healthcare Technology</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_HealthcareTechnologyMember" xlink:href="obdc-20260630.xsd#obdc_HealthcareTechnologyMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_HealthcareTechnologyMember" xlink:to="lab_obdc_HealthcareTechnologyMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentCompanyShareRepurchasePerShareNet_019e6638-c4ec-7579-87b5-e24f5967d985_terseLabel_en-US" xlink:label="lab_obdc_InvestmentCompanyShareRepurchasePerShareNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repurchase of common shares (in usd per share)</link:label>
    <link:label id="lab_obdc_InvestmentCompanyShareRepurchasePerShareNet_label_en-US" xlink:label="lab_obdc_InvestmentCompanyShareRepurchasePerShareNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Share Repurchase, Per Share, Net</link:label>
    <link:label id="lab_obdc_InvestmentCompanyShareRepurchasePerShareNet_documentation_en-US" xlink:label="lab_obdc_InvestmentCompanyShareRepurchasePerShareNet" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Share Repurchase, Per Share, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentCompanyShareRepurchasePerShareNet" xlink:href="obdc-20260630.xsd#obdc_InvestmentCompanyShareRepurchasePerShareNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentCompanyShareRepurchasePerShareNet" xlink:to="lab_obdc_InvestmentCompanyShareRepurchasePerShareNet" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsidiaryOrEquityMethodInvesteeLineItems_019e6638-c4ec-7d0a-85c7-d0df9ef25264_terseLabel_en-US" xlink:label="lab_us-gaap_SubsidiaryOrEquityMethodInvesteeLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsidiary or Equity Method Investee [Line Items]</link:label>
    <link:label id="lab_us-gaap_SubsidiaryOrEquityMethodInvesteeLineItems_label_en-US" xlink:label="lab_us-gaap_SubsidiaryOrEquityMethodInvesteeLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsidiary or Equity Method Investee [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsidiaryOrEquityMethodInvesteeLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsidiaryOrEquityMethodInvesteeLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsidiaryOrEquityMethodInvesteeLineItems" xlink:to="lab_us-gaap_SubsidiaryOrEquityMethodInvesteeLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ValuationTechniqueAxis_019e6638-c4ec-74fc-9931-310fd70dbf89_terseLabel_en-US" xlink:label="lab_us-gaap_ValuationTechniqueAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Valuation Approach and Technique [Axis]</link:label>
    <link:label id="lab_us-gaap_ValuationTechniqueAxis_label_en-US" xlink:label="lab_us-gaap_ValuationTechniqueAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Approach and Technique [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ValuationTechniqueAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ValuationTechniqueAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ValuationTechniqueAxis" xlink:to="lab_us-gaap_ValuationTechniqueAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BlueOwlCreditIncomeCorp.Member_019e6638-c4ec-73b5-8490-1c982a099514_terseLabel_en-US" xlink:label="lab_obdc_BlueOwlCreditIncomeCorp.Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blue Owl Credit Income Corp.</link:label>
    <link:label id="lab_obdc_BlueOwlCreditIncomeCorp.Member_label_en-US" xlink:label="lab_obdc_BlueOwlCreditIncomeCorp.Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blue Owl Credit Income Corp. [Member]</link:label>
    <link:label id="lab_obdc_BlueOwlCreditIncomeCorp.Member_documentation_en-US" xlink:label="lab_obdc_BlueOwlCreditIncomeCorp.Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blue Owl Credit Income Corp.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BlueOwlCreditIncomeCorp.Member" xlink:href="obdc-20260630.xsd#obdc_BlueOwlCreditIncomeCorp.Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BlueOwlCreditIncomeCorp.Member" xlink:to="lab_obdc_BlueOwlCreditIncomeCorp.Member" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentNetContributedCapital_019e6638-c4ec-70fb-bed4-bdd4dd7e3d28_terseLabel_en-US" xlink:label="lab_obdc_InvestmentNetContributedCapital" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Contributed Capital</link:label>
    <link:label id="lab_obdc_InvestmentNetContributedCapital_label_en-US" xlink:label="lab_obdc_InvestmentNetContributedCapital" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Net Contributed Capital</link:label>
    <link:label id="lab_obdc_InvestmentNetContributedCapital_documentation_en-US" xlink:label="lab_obdc_InvestmentNetContributedCapital" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment, Net Contributed Capital</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentNetContributedCapital" xlink:href="obdc-20260630.xsd#obdc_InvestmentNetContributedCapital"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentNetContributedCapital" xlink:to="lab_obdc_InvestmentNetContributedCapital" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassAL2LoansMember_019e6638-c427-7cf2-8a9e-49daf3573b86_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassAL2LoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L2 Loans</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL2LoansMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassAL2LoansMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L2 Loans [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL2LoansMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassAL2LoansMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L2 Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassAL2LoansMember" xlink:href="obdc-20260630.xsd#obdc_CLOVIIClassAL2LoansMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassAL2LoansMember" xlink:to="lab_obdc_CLOVIIClassAL2LoansMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockholdersEquityPeriodIncreaseDecrease_019e6638-c4ec-75d2-a99f-d06cee4c8750_totalLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquityPeriodIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Increase (Decrease) in Net Assets</link:label>
    <link:label id="lab_us-gaap_StockholdersEquityPeriodIncreaseDecrease_label_en-US" xlink:label="lab_us-gaap_StockholdersEquityPeriodIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stockholders' Equity, Period Increase (Decrease)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityPeriodIncreaseDecrease" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquityPeriodIncreaseDecrease"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockholdersEquityPeriodIncreaseDecrease" xlink:to="lab_us-gaap_StockholdersEquityPeriodIncreaseDecrease" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum_019e6638-c4ec-7058-a163-c8817cb54b96_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Asset coverage ratio, minimum</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum_label_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant Terms, Asset Coverage Ratio, Minimum</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant Terms, Asset Coverage Ratio, Minimum</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum" xlink:href="obdc-20260630.xsd#obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum" xlink:to="lab_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NoninterestExpenseDirectorsFees_019e6638-c428-75d6-8093-b0d3f5380d68_terseLabel_en-US" xlink:label="lab_us-gaap_NoninterestExpenseDirectorsFees" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Directors' fees</link:label>
    <link:label id="lab_us-gaap_NoninterestExpenseDirectorsFees_label_en-US" xlink:label="lab_us-gaap_NoninterestExpenseDirectorsFees" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Director Fee</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoninterestExpenseDirectorsFees" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NoninterestExpenseDirectorsFees"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NoninterestExpenseDirectorsFees" xlink:to="lab_us-gaap_NoninterestExpenseDirectorsFees" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SegmentReportingPolicyPolicyTextBlock_019e6638-c4eb-7289-b602-9ee9e894b82e_terseLabel_en-US" xlink:label="lab_us-gaap_SegmentReportingPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Segment Reporting</link:label>
    <link:label id="lab_us-gaap_SegmentReportingPolicyPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_SegmentReportingPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Segment Reporting, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingPolicyPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SegmentReportingPolicyPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SegmentReportingPolicyPolicyTextBlock" xlink:to="lab_us-gaap_SegmentReportingPolicyPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_019e6638-c590-7622-95fc-64ddbfaf8d01_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Business Combination, Pro Forma Information [Line Items]</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Pro Forma Information [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems" xlink:to="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_OutstandingRecoveryIndName_terseLabel_en-US" xlink:label="lab_ecd_OutstandingRecoveryIndName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Name</link:label>
    <link:label id="lab_ecd_OutstandingRecoveryIndName_label_en-US" xlink:label="lab_ecd_OutstandingRecoveryIndName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Outstanding Recovery, Individual Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_OutstandingRecoveryIndName" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_OutstandingRecoveryIndName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_OutstandingRecoveryIndName" xlink:to="lab_ecd_OutstandingRecoveryIndName" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardTmgHowMnpiCnsdrdTextBlock_terseLabel_en-US" xlink:label="lab_ecd_AwardTmgHowMnpiCnsdrdTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Award Timing, How MNPI Considered</link:label>
    <link:label id="lab_ecd_AwardTmgHowMnpiCnsdrdTextBlock_label_en-US" xlink:label="lab_ecd_AwardTmgHowMnpiCnsdrdTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Timing, How MNPI Considered [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardTmgHowMnpiCnsdrdTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AwardTmgHowMnpiCnsdrdTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardTmgHowMnpiCnsdrdTextBlock" xlink:to="lab_ecd_AwardTmgHowMnpiCnsdrdTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIClassBRNotesMember_019e6638-c4ec-752d-84b9-ac71216db6b9_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO III Class B-R Notes</link:label>
    <link:label id="lab_obdc_CLOIIIClassBRNotesMember_label_en-US" xlink:label="lab_obdc_CLOIIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO III, Class B-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIClassBRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO III, Class B-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIClassBRNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIIIClassBRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIClassBRNotesMember" xlink:to="lab_obdc_CLOIIIClassBRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIClassALoansMember_019e6638-c4eb-7ee7-afe6-5431502d4802_terseLabel_en-US" xlink:label="lab_obdc_CLOIClassALoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I, Class A Loans</link:label>
    <link:label id="lab_obdc_CLOIClassALoansMember_label_en-US" xlink:label="lab_obdc_CLOIClassALoansMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class A Loans [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassALoansMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassALoansMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class A Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIClassALoansMember" xlink:href="obdc-20260630.xsd#obdc_CLOIClassALoansMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIClassALoansMember" xlink:to="lab_obdc_CLOIClassALoansMember" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_SegmentGeographicalDomain_019e6638-c4eb-7814-a643-b80edd234089_terseLabel_en-US" xlink:label="lab_srt_SegmentGeographicalDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Geographical [Domain]</link:label>
    <link:label id="lab_srt_SegmentGeographicalDomain_label_en-US" xlink:label="lab_srt_SegmentGeographicalDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Geographical [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_SegmentGeographicalDomain" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_SegmentGeographicalDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_SegmentGeographicalDomain" xlink:to="lab_srt_SegmentGeographicalDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock_019e6638-c4ec-7f68-bddd-f6b30a7c57c4_terseLabel_en-US" xlink:label="lab_us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Components of Interest Expense</link:label>
    <link:label id="lab_us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock_label_en-US" xlink:label="lab_us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Income and Interest Expense Disclosure [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock" xlink:to="lab_us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_FrValAsOfPrrYrEndOfEqtyAwrdsGrntdInPrrYrsFldVstngCondsDrngCvrdYrMember_terseLabel_en-US" xlink:label="lab_ecd_FrValAsOfPrrYrEndOfEqtyAwrdsGrntdInPrrYrsFldVstngCondsDrngCvrdYrMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Prior Year End Fair Value of Equity Awards Granted in Any Prior Year that Fail to Meet Applicable Vesting Conditions During Covered Year</link:label>
    <link:label id="lab_ecd_FrValAsOfPrrYrEndOfEqtyAwrdsGrntdInPrrYrsFldVstngCondsDrngCvrdYrMember_label_en-US" xlink:label="lab_ecd_FrValAsOfPrrYrEndOfEqtyAwrdsGrntdInPrrYrsFldVstngCondsDrngCvrdYrMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Prior Year End Fair Value of Equity Awards Granted in Any Prior Year that Fail to Meet Applicable Vesting Conditions During Covered Year [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_FrValAsOfPrrYrEndOfEqtyAwrdsGrntdInPrrYrsFldVstngCondsDrngCvrdYrMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_FrValAsOfPrrYrEndOfEqtyAwrdsGrntdInPrrYrsFldVstngCondsDrngCvrdYrMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_FrValAsOfPrrYrEndOfEqtyAwrdsGrntdInPrrYrsFldVstngCondsDrngCvrdYrMember" xlink:to="lab_ecd_FrValAsOfPrrYrEndOfEqtyAwrdsGrntdInPrrYrsFldVstngCondsDrngCvrdYrMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PnsnAdjsPrrSvcCstMember_terseLabel_en-US" xlink:label="lab_ecd_PnsnAdjsPrrSvcCstMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pension Adjustments Prior Service Cost</link:label>
    <link:label id="lab_ecd_PnsnAdjsPrrSvcCstMember_label_en-US" xlink:label="lab_ecd_PnsnAdjsPrrSvcCstMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pension Adjustments Prior Service Cost [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PnsnAdjsPrrSvcCstMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_PnsnAdjsPrrSvcCstMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PnsnAdjsPrrSvcCstMember" xlink:to="lab_ecd_PnsnAdjsPrrSvcCstMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentsTable_019e6638-c4eb-7e4f-90cb-567736fbe50c_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Investments [Table]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentsTable_label_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Investments [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfInvestmentsTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfInvestmentsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfInvestmentsTable" xlink:to="lab_us-gaap_ScheduleOfInvestmentsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedDepreciation_019e6638-c427-79a8-b9f6-9b59235c6564_terseLabel_en-US" xlink:label="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedDepreciation" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unrealized loss for U.S. federal income tax purposes</link:label>
    <link:label id="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedDepreciation_label_en-US" xlink:label="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedDepreciation" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Tax Basis, Unrealized Loss</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedDepreciation" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TaxBasisOfInvestmentsGrossUnrealizedDepreciation"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedDepreciation" xlink:to="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedDepreciation" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InitialThirdThresholdPercentageMember_019e6638-c4ec-7f6a-82e1-3835e377bf6f_terseLabel_en-US" xlink:label="lab_obdc_InitialThirdThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Initial Third Threshold Percentage</link:label>
    <link:label id="lab_obdc_InitialThirdThresholdPercentageMember_label_en-US" xlink:label="lab_obdc_InitialThirdThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Initial Third Threshold Percentage [Member]</link:label>
    <link:label id="lab_obdc_InitialThirdThresholdPercentageMember_documentation_en-US" xlink:label="lab_obdc_InitialThirdThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Initial Third Threshold Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InitialThirdThresholdPercentageMember" xlink:href="obdc-20260630.xsd#obdc_InitialThirdThresholdPercentageMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InitialThirdThresholdPercentageMember" xlink:to="lab_obdc_InitialThirdThresholdPercentageMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestRateSwaps2030NotesMember_019e6638-c590-7f0f-b8de-f5b3428f2f4e_terseLabel_en-US" xlink:label="lab_obdc_InterestRateSwaps2030NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate swaps 2030 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2030NotesMember_019f5b42-ae25-734f-a4c0-b86922da12e7_verboseLabel_en-US" xlink:label="lab_obdc_InterestRateSwaps2030NotesMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">2030 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2030NotesMember_label_en-US" xlink:label="lab_obdc_InterestRateSwaps2030NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps, 2030 Notes [Member]</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2030NotesMember_documentation_en-US" xlink:label="lab_obdc_InterestRateSwaps2030NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps, 2030 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestRateSwaps2030NotesMember" xlink:href="obdc-20260630.xsd#obdc_InterestRateSwaps2030NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestRateSwaps2030NotesMember" xlink:to="lab_obdc_InterestRateSwaps2030NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassB1NotesMember_019e6638-c4ec-7572-b34e-7feec0161b93_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassB1NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-1 Notes</link:label>
    <link:label id="lab_obdc_CLOVIIClassB1NotesMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassB1NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-1 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassB1NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassB1NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-1 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassB1NotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOVIIClassB1NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassB1NotesMember" xlink:to="lab_obdc_CLOVIIClassB1NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ThreeMonthsEURIBORMember_019e6638-c4ec-763c-a2ef-ba410c821827_terseLabel_en-US" xlink:label="lab_obdc_ThreeMonthsEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject to 3 months EURIBOR</link:label>
    <link:label id="lab_obdc_ThreeMonthsEURIBORMember_label_en-US" xlink:label="lab_obdc_ThreeMonthsEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Three Months EURIBOR [Member]</link:label>
    <link:label id="lab_obdc_ThreeMonthsEURIBORMember_documentation_en-US" xlink:label="lab_obdc_ThreeMonthsEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Three Months EURIBOR</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ThreeMonthsEURIBORMember" xlink:href="obdc-20260630.xsd#obdc_ThreeMonthsEURIBORMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ThreeMonthsEURIBORMember" xlink:to="lab_obdc_ThreeMonthsEURIBORMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnrealizedGainLossOnDerivatives_019e6638-c590-7f0d-b061-5c251cd0e97e_negatedLabel_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossOnDerivatives" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Net change in interest rate swap attributed to unsecured notes</link:label>
    <link:label id="lab_us-gaap_UnrealizedGainLossOnDerivatives_label_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossOnDerivatives" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss) on Derivatives</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnrealizedGainLossOnDerivatives" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UnrealizedGainLossOnDerivatives"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrealizedGainLossOnDerivatives" xlink:to="lab_us-gaap_UnrealizedGainLossOnDerivatives" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_O2026Q3DividendsMember_019fb235-a336-7da5-be35-79dd29d12f09_terseLabel_en-US" xlink:label="lab_obdc_O2026Q3DividendsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">O 2026 Q3 Dividends</link:label>
    <link:label id="lab_obdc_O2026Q3DividendsMember_label_en-US" xlink:label="lab_obdc_O2026Q3DividendsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">O 2026 Q3 Dividends [Member]</link:label>
    <link:label id="lab_obdc_O2026Q3DividendsMember_documentation_en-US" xlink:label="lab_obdc_O2026Q3DividendsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">O 2026 Q3 Dividends</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_O2026Q3DividendsMember" xlink:href="obdc-20260630.xsd#obdc_O2026Q3DividendsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_O2026Q3DividendsMember" xlink:to="lab_obdc_O2026Q3DividendsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentCarryingAmount_019e6638-c427-7e9e-91c3-b7dac2c16dfe_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentCarryingAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Outstanding Principal</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentCarryingAmount_019e6638-c427-7cdd-ba2d-7a8cd393b94c_totalLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentCarryingAmount" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentCarryingAmount_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentCarryingAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Gross</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentCarryingAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentCarryingAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentCarryingAmount" xlink:to="lab_us-gaap_DebtInstrumentCarryingAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtSecuritiesMember_019e6638-c4ec-7bea-be72-d92df726ff1a_terseLabel_en-US" xlink:label="lab_us-gaap_DebtSecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Securities</link:label>
    <link:label id="lab_us-gaap_DebtSecuritiesMember_label_en-US" xlink:label="lab_us-gaap_DebtSecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Securities [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtSecuritiesMember" xlink:to="lab_us-gaap_DebtSecuritiesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain_019e6638-c427-7e61-b473-2dc13dd2d662_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Asset Class [Domain]</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Asset Class [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionsAbstract_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transactions [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyTransactionsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionsAbstract" xlink:to="lab_us-gaap_RelatedPartyTransactionsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtPolicyTextBlock_019e6638-c4ec-74fd-b4ea-af4df6a5f02d_terseLabel_en-US" xlink:label="lab_us-gaap_DebtPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Issuance Costs</link:label>
    <link:label id="lab_us-gaap_DebtPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_DebtPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtPolicyTextBlock" xlink:to="lab_us-gaap_DebtPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_OutstandingRecoveryCompAmt_terseLabel_en-US" xlink:label="lab_ecd_OutstandingRecoveryCompAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Compensation Amount</link:label>
    <link:label id="lab_ecd_OutstandingRecoveryCompAmt_label_en-US" xlink:label="lab_ecd_OutstandingRecoveryCompAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Outstanding Recovery Compensation Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_OutstandingRecoveryCompAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_OutstandingRecoveryCompAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_OutstandingRecoveryCompAmt" xlink:to="lab_ecd_OutstandingRecoveryCompAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_IndividualAxis_terseLabel_en-US" xlink:label="lab_ecd_IndividualAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Individual:</link:label>
    <link:label id="lab_ecd_IndividualAxis_label_en-US" xlink:label="lab_ecd_IndividualAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Individual [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_IndividualAxis" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_IndividualAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_IndividualAxis" xlink:to="lab_ecd_IndividualAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_019e6638-c4ec-779c-af64-8b8eefd9f142_verboseLabel_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Weighted Average Shares Outstanding - Diluted (in shares)</link:label>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_019e6638-c4ec-7a7d-828c-8d68795f7be3_terseLabel_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Weighted average shares of common stock outstanding&#8212;diluted (in shares)</link:label>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_label_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted Average Number of Shares Outstanding, Diluted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:to="lab_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVClassA1RNotesMember_019e6638-c591-7926-823b-e9e0b051e3d8_terseLabel_en-US" xlink:label="lab_obdc_CLOVClassA1RNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V, Class A-1R Notes</link:label>
    <link:label id="lab_obdc_CLOVClassA1RNotesMember_label_en-US" xlink:label="lab_obdc_CLOVClassA1RNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V, Class A-1R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVClassA1RNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVClassA1RNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V, Class A-1R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVClassA1RNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOVClassA1RNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVClassA1RNotesMember" xlink:to="lab_obdc_CLOVClassA1RNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue_019e6638-c4ec-7ba8-9683-2c6b0cfa6649_terseLabel_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate fair value of asset sale</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue_label_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Aggregate Fair Value</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue_documentation_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Aggregate Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue" xlink:href="obdc-20260630.xsd#obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue" xlink:to="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityEmergingGrowthCompany_019e6638-c4ec-75a5-a9f5-3f8d22dc3dc6_terseLabel_en-US" xlink:label="lab_dei_EntityEmergingGrowthCompany" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Emerging Growth Company</link:label>
    <link:label id="lab_dei_EntityEmergingGrowthCompany_label_en-US" xlink:label="lab_dei_EntityEmergingGrowthCompany" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Emerging Growth Company</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityEmergingGrowthCompany" xlink:to="lab_dei_EntityEmergingGrowthCompany" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionLineItems_019e6638-c4ec-7639-8181-e8baf02bb97e_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Line Items]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionLineItems_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyTransactionLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems" xlink:to="lab_us-gaap_RelatedPartyTransactionLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember_019e6638-c4ec-7c7e-b877-cdace4a847ed_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Management Agreement - Incentive Rate, Pre-Incentive Fee Net Investment Income</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Pre-Incentive Fee Net Investment Income [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Pre-Incentive Fee Net Investment Income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember" xlink:href="obdc-20260630.xsd#obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativesPolicyTextBlock_019e6638-c4ec-783e-95a5-e86594abd87e_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial and Derivative Instruments/Foreign Currency Forward Contracts</link:label>
    <link:label id="lab_us-gaap_DerivativesPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_DerivativesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivatives, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativesPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativesPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativesPolicyTextBlock" xlink:to="lab_us-gaap_DerivativesPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_UndrlygSecurityMktPriceChngPct_terseLabel_en-US" xlink:label="lab_ecd_UndrlygSecurityMktPriceChngPct" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Underlying Security Market Price Change</link:label>
    <link:label id="lab_ecd_UndrlygSecurityMktPriceChngPct_label_en-US" xlink:label="lab_ecd_UndrlygSecurityMktPriceChngPct" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Underlying Security Market Price Change, Percent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_UndrlygSecurityMktPriceChngPct" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_UndrlygSecurityMktPriceChngPct"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_UndrlygSecurityMktPriceChngPct" xlink:to="lab_ecd_UndrlygSecurityMktPriceChngPct" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock_019e6638-c591-7651-b40e-92b53c20a2cc_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Instruments</link:label>
    <link:label id="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Instruments and Hedging Activities Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:to="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SPVAssetFacilityVIIMember_019e6638-c591-722c-8afe-43018e889f2d_terseLabel_en-US" xlink:label="lab_obdc_SPVAssetFacilityVIIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">SPV Asset Facility VII</link:label>
    <link:label id="lab_obdc_SPVAssetFacilityVIIMember_label_en-US" xlink:label="lab_obdc_SPVAssetFacilityVIIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">SPV Asset Facility VII [Member]</link:label>
    <link:label id="lab_obdc_SPVAssetFacilityVIIMember_documentation_en-US" xlink:label="lab_obdc_SPVAssetFacilityVIIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">SPV Asset Facility VII</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SPVAssetFacilityVIIMember" xlink:href="obdc-20260630.xsd#obdc_SPVAssetFacilityVIIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SPVAssetFacilityVIIMember" xlink:to="lab_obdc_SPVAssetFacilityVIIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeLiability_019e6638-c590-7d25-a07a-d89a776f7c7f_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Liabilities</link:label>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeLiability_label_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Liability, Subject to Master Netting Arrangement, before Offset</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeFairValueOfDerivativeLiability"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:to="lab_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherReceivables_019e6638-c4eb-70eb-a7ed-bbf81decb376_terseLabel_en-US" xlink:label="lab_us-gaap_OtherReceivables" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Receivable from a controlled affiliate</link:label>
    <link:label id="lab_us-gaap_OtherReceivables_label_en-US" xlink:label="lab_us-gaap_OtherReceivables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Receivables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherReceivables" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherReceivables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherReceivables" xlink:to="lab_us-gaap_OtherReceivables" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember_019e6638-c4ec-716e-bab5-e09cc7dad98c_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Management Agreement - Incentive Rate, Realized Capital Gains</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Realized Capital Gains [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Realized Capital Gains</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember" xlink:href="obdc-20260630.xsd#obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LettersOfCreditOutstandingAmount_019e6638-c427-7ee8-b96f-f34c6f29d86f_terseLabel_en-US" xlink:label="lab_us-gaap_LettersOfCreditOutstandingAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Outstanding letters of credit</link:label>
    <link:label id="lab_us-gaap_LettersOfCreditOutstandingAmount_label_en-US" xlink:label="lab_us-gaap_LettersOfCreditOutstandingAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Letters of Credit Outstanding, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LettersOfCreditOutstandingAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LettersOfCreditOutstandingAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LettersOfCreditOutstandingAmount" xlink:to="lab_us-gaap_LettersOfCreditOutstandingAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RepaymentsOfUnsecuredDebt_019e6638-c591-7212-9993-6d6e35b06c88_terseLabel_en-US" xlink:label="lab_us-gaap_RepaymentsOfUnsecuredDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt periodic payment</link:label>
    <link:label id="lab_us-gaap_RepaymentsOfUnsecuredDebt_label_en-US" xlink:label="lab_us-gaap_RepaymentsOfUnsecuredDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repayments of Unsecured Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfUnsecuredDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RepaymentsOfUnsecuredDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RepaymentsOfUnsecuredDebt" xlink:to="lab_us-gaap_RepaymentsOfUnsecuredDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares_019e6638-c591-713e-851a-2e1da9157673_terseLabel_en-US" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Shares redeemed (in shares)</link:label>
    <link:label id="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares_label_en-US" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Redeemed or Called During Period, Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockRedeemedOrCalledDuringPeriodShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xlink:to="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TelecommunicationMember_019e6638-c4ec-748a-8115-0a2075391b0e_terseLabel_en-US" xlink:label="lab_obdc_TelecommunicationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Telecommunications</link:label>
    <link:label id="lab_obdc_TelecommunicationMember_label_en-US" xlink:label="lab_obdc_TelecommunicationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Telecommunication [Member]</link:label>
    <link:label id="lab_obdc_TelecommunicationMember_documentation_en-US" xlink:label="lab_obdc_TelecommunicationMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Telecommunication</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TelecommunicationMember" xlink:href="obdc-20260630.xsd#obdc_TelecommunicationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TelecommunicationMember" xlink:to="lab_obdc_TelecommunicationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyNetAssetsRollForward_019e6638-c4eb-7704-9baf-0c1cbd840dd0_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNetAssetsRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Company, Net Assets [Roll Forward]</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyNetAssetsRollForward_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNetAssetsRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Net Assets [Roll Forward]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyNetAssetsRollForward" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyNetAssetsRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyNetAssetsRollForward" xlink:to="lab_us-gaap_InvestmentCompanyNetAssetsRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_label_en-US" xlink:label="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Organization, Consolidation and Presentation of Financial Statements [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract" xlink:to="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MiscellaneousDebtCommitmentsNettingMember_019e6638-c427-7937-afd4-ad9925c72507_terseLabel_en-US" xlink:label="lab_obdc_MiscellaneousDebtCommitmentsNettingMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Miscellaneous Debt Commitments</link:label>
    <link:label id="lab_obdc_MiscellaneousDebtCommitmentsNettingMember_label_en-US" xlink:label="lab_obdc_MiscellaneousDebtCommitmentsNettingMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Miscellaneous Debt Commitments, Netting [Member]</link:label>
    <link:label id="lab_obdc_MiscellaneousDebtCommitmentsNettingMember_documentation_en-US" xlink:label="lab_obdc_MiscellaneousDebtCommitmentsNettingMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Miscellaneous Debt Commitments, Netting</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MiscellaneousDebtCommitmentsNettingMember" xlink:href="obdc-20260630.xsd#obdc_MiscellaneousDebtCommitmentsNettingMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MiscellaneousDebtCommitmentsNettingMember" xlink:to="lab_obdc_MiscellaneousDebtCommitmentsNettingMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio_019e6638-c427-7274-ba05-62ab7ebe45a0_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Ratio of net investment income to average net assets</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Investment Income (Loss) Ratio</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyInvestmentIncomeLossRatio"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AllExecutiveCategoriesMember_terseLabel_en-US" xlink:label="lab_ecd_AllExecutiveCategoriesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">All Executive Categories</link:label>
    <link:label id="lab_ecd_AllExecutiveCategoriesMember_label_en-US" xlink:label="lab_ecd_AllExecutiveCategoriesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">All Executive Categories [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AllExecutiveCategoriesMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AllExecutiveCategoriesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AllExecutiveCategoriesMember" xlink:to="lab_ecd_AllExecutiveCategoriesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ValuationTechniqueDomain_019e6638-c591-79a0-94bc-1f302c66885b_terseLabel_en-US" xlink:label="lab_us-gaap_ValuationTechniqueDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Valuation Approach and Technique [Domain]</link:label>
    <link:label id="lab_us-gaap_ValuationTechniqueDomain_label_en-US" xlink:label="lab_us-gaap_ValuationTechniqueDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Approach and Technique [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ValuationTechniqueDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ValuationTechniqueDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ValuationTechniqueDomain" xlink:to="lab_us-gaap_ValuationTechniqueDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SPVAssetFacilityVIMember_019e6638-c4ec-7ae0-8445-2e34500839fd_terseLabel_en-US" xlink:label="lab_obdc_SPVAssetFacilityVIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">SPV Asset Facility VI</link:label>
    <link:label id="lab_obdc_SPVAssetFacilityVIMember_label_en-US" xlink:label="lab_obdc_SPVAssetFacilityVIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">SPV Asset Facility VI [Member]</link:label>
    <link:label id="lab_obdc_SPVAssetFacilityVIMember_documentation_en-US" xlink:label="lab_obdc_SPVAssetFacilityVIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">SPV Asset Facility VI</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SPVAssetFacilityVIMember" xlink:href="obdc-20260630.xsd#obdc_SPVAssetFacilityVIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SPVAssetFacilityVIMember" xlink:to="lab_obdc_SPVAssetFacilityVIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIVClassA2RNotesMember_019e6638-c590-7fbe-919f-ab8b289ddeff_terseLabel_en-US" xlink:label="lab_obdc_CLOIVClassA2RNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO IV, Class A-2-R Notes</link:label>
    <link:label id="lab_obdc_CLOIVClassA2RNotesMember_label_en-US" xlink:label="lab_obdc_CLOIVClassA2RNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO IV, Class A-2-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIVClassA2RNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIVClassA2RNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO IV, Class A-2-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIVClassA2RNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIVClassA2RNotesMember"/>
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    <link:label id="lab_obdc_CLOIVClassA1RNotesMember_019e6638-c4ec-75f0-84ce-298dce53902f_terseLabel_en-US" xlink:label="lab_obdc_CLOIVClassA1RNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO IV, Class A-1-R Notes</link:label>
    <link:label id="lab_obdc_CLOIVClassA1RNotesMember_label_en-US" xlink:label="lab_obdc_CLOIVClassA1RNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO IV, Class A-1-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIVClassA1RNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIVClassA1RNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO IV, Class A-1-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIVClassA1RNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIVClassA1RNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIVClassA1RNotesMember" xlink:to="lab_obdc_CLOIVClassA1RNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod_019e6638-c4ec-7261-a0ff-2fc83a7e8842_totalLabel_en-US" xlink:label="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total PIK Income</link:label>
    <link:label id="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod_label_en-US" xlink:label="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest and Dividend Income, Operating, Paid in Kind Accrued In Period</link:label>
    <link:label id="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod_documentation_en-US" xlink:label="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest and Dividend Income, Operating, Paid in Kind Accrued In Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod" xlink:href="obdc-20260630.xsd#obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod"/>
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    <link:label id="lab_ecd_PnsnAdjsSvcCstMember_terseLabel_en-US" xlink:label="lab_ecd_PnsnAdjsSvcCstMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pension Adjustments Service Cost</link:label>
    <link:label id="lab_ecd_PnsnAdjsSvcCstMember_label_en-US" xlink:label="lab_ecd_PnsnAdjsSvcCstMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pension Adjustments Service Cost [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PnsnAdjsSvcCstMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_PnsnAdjsSvcCstMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PnsnAdjsSvcCstMember" xlink:to="lab_ecd_PnsnAdjsSvcCstMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanySeniorSecurityIndebtednessAssetCoverageRatio_019e6638-c4ec-76b3-b855-3f2c05d233a5_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanySeniorSecurityIndebtednessAssetCoverageRatio" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Asset coverage ratio</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanySeniorSecurityIndebtednessAssetCoverageRatio_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanySeniorSecurityIndebtednessAssetCoverageRatio" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Senior Security, Indebtedness, Asset Coverage Ratio</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanySeniorSecurityIndebtednessAssetCoverageRatio" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanySeniorSecurityIndebtednessAssetCoverageRatio"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanySeniorSecurityIndebtednessAssetCoverageRatio" xlink:to="lab_us-gaap_InvestmentCompanySeniorSecurityIndebtednessAssetCoverageRatio" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TwoThousandTwentyNineNotesMember_019e6638-c4eb-773d-bcf3-8ed90abe2b7e_verboseLabel_en-US" xlink:label="lab_obdc_TwoThousandTwentyNineNotesMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">2029 Notes</link:label>
    <link:label id="lab_obdc_TwoThousandTwentyNineNotesMember_019e6638-c4eb-79bc-98f4-6ff36b3f9a79_terseLabel_en-US" xlink:label="lab_obdc_TwoThousandTwentyNineNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2029 Notes</link:label>
    <link:label id="lab_obdc_TwoThousandTwentyNineNotesMember_label_en-US" xlink:label="lab_obdc_TwoThousandTwentyNineNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Nine Notes [Member]</link:label>
    <link:label id="lab_obdc_TwoThousandTwentyNineNotesMember_documentation_en-US" xlink:label="lab_obdc_TwoThousandTwentyNineNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Nine Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TwoThousandTwentyNineNotesMember" xlink:href="obdc-20260630.xsd#obdc_TwoThousandTwentyNineNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TwoThousandTwentyNineNotesMember" xlink:to="lab_obdc_TwoThousandTwentyNineNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXIVClassANotesMember_019e6638-c427-77ae-89f6-7f6799052f1b_terseLabel_en-US" xlink:label="lab_obdc_CLOXIVClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO XIV, Class A Notes</link:label>
    <link:label id="lab_obdc_CLOXIVClassANotesMember_label_en-US" xlink:label="lab_obdc_CLOXIVClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO XIV, Class A Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOXIVClassANotesMember_documentation_en-US" xlink:label="lab_obdc_CLOXIVClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO XIV, Class A Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXIVClassANotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOXIVClassANotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXIVClassANotesMember" xlink:to="lab_obdc_CLOXIVClassANotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_019e6638-c4ec-7c8f-9701-e083da50e8aa_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Computation for Basic and Diluted Earnings Per Common Share</link:label>
    <link:label id="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Earnings Per Share, Basic and Diluted [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtDisclosureAbstract_label_en-US" xlink:label="lab_us-gaap_DebtDisclosureAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Disclosure [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtDisclosureAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtDisclosureAbstract" xlink:to="lab_us-gaap_DebtDisclosureAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryDomain_019e6638-c428-797a-97bb-d58b6898da7a_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Company, Nonconsolidated Subsidiary [Domain]</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryDomain_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Nonconsolidated Subsidiary [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryDomain" xlink:to="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_MinimumMember_019e6638-c590-7375-b847-db2208579a9c_terseLabel_en-US" xlink:label="lab_srt_MinimumMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Minimum</link:label>
    <link:label id="lab_srt_MinimumMember_label_en-US" xlink:label="lab_srt_MinimumMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Minimum [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MinimumMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_MinimumMember" xlink:to="lab_srt_MinimumMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentTypeAxis_019e6638-c4ec-7201-b2c8-1150424f7889_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Type [Axis]</link:label>
    <link:label id="lab_us-gaap_InvestmentTypeAxis_label_en-US" xlink:label="lab_us-gaap_InvestmentTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentTypeAxis" xlink:to="lab_us-gaap_InvestmentTypeAxis" xlink:type="arc" order="1"/>
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    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LiabilitiesAbstract_019e6638-c4ec-7662-95d5-227ee71a1797_verboseLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Liabilities</link:label>
    <link:label id="lab_us-gaap_LiabilitiesAbstract_label_en-US" xlink:label="lab_us-gaap_LiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Liabilities [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesAbstract" xlink:to="lab_us-gaap_LiabilitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StatementOfIncomeLocationBalanceAxis_019e6638-c4eb-75e4-b968-99db1b0cc67e_terseLabel_en-US" xlink:label="lab_us-gaap_StatementOfIncomeLocationBalanceAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Income Statement Location [Axis]</link:label>
    <link:label id="lab_us-gaap_StatementOfIncomeLocationBalanceAxis_label_en-US" xlink:label="lab_us-gaap_StatementOfIncomeLocationBalanceAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Location, Statement of Income, Balance [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfIncomeLocationBalanceAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementOfIncomeLocationBalanceAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementOfIncomeLocationBalanceAxis" xlink:to="lab_us-gaap_StatementOfIncomeLocationBalanceAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost_019e6638-c4ec-76bb-b09d-e7062227d5b8_terseLabel_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments, at fair value amortized cost</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost_label_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Assets Acquired, Investment Owned, Cost</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost_documentation_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Assets Acquired, Investment Owned, Cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost" xlink:href="obdc-20260630.xsd#obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost"/>
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    <link:label id="lab_ecd_NonRule10b51ArrAdoptedFlag_label_en-US" xlink:label="lab_ecd_NonRule10b51ArrAdoptedFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-Rule 10b5-1 Arrangement Adopted [Flag]</link:label>
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    <link:label id="lab_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit_019e6638-c590-7e59-802f-7b8167d2f2ce_terseLabel_en-US" xlink:label="lab_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Excise tax expense (benefit)</link:label>
    <link:label id="lab_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit_label_en-US" xlink:label="lab_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Income, Operating, Excise Tax Expense (Benefit)</link:label>
    <link:label id="lab_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit_documentation_en-US" xlink:label="lab_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Income, Operating, Excise Tax Expense (Benefit)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit" xlink:href="obdc-20260630.xsd#obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit" xlink:to="lab_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherLiabilities_019e6638-c4ec-7bfd-84d8-cafcb298875c_terseLabel_en-US" xlink:label="lab_us-gaap_OtherLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Payables to affiliates</link:label>
    <link:label id="lab_us-gaap_OtherLiabilities_label_en-US" xlink:label="lab_us-gaap_OtherLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherLiabilities" xlink:to="lab_us-gaap_OtherLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts_019e6638-c427-7df7-9701-b4ca79cdcd31_terseLabel_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unamortized debt issuance costs</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts_label_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Liability Assumed, Long-term Debt Unamortized Debt Issuance Costs</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts_documentation_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Liability Assumed, Long-term Debt Unamortized Debt Issuance Costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts" xlink:href="obdc-20260630.xsd#obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts" xlink:to="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockSharesAuthorized_019e6638-c4eb-772c-a733-d7d02abcd92e_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockSharesAuthorized" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common stock, shares authorized (in shares)</link:label>
    <link:label id="lab_us-gaap_CommonStockSharesAuthorized_label_en-US" xlink:label="lab_us-gaap_CommonStockSharesAuthorized" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock, Shares Authorized</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesAuthorized" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockSharesAuthorized"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockSharesAuthorized" xlink:to="lab_us-gaap_CommonStockSharesAuthorized" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXIVClassBNotesMember_019e6638-c4ec-72c0-8f2d-30fb70cb096a_verboseLabel_en-US" xlink:label="lab_obdc_CLOXIVClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">CLO XIV, Class B Notes</link:label>
    <link:label id="lab_obdc_CLOXIVClassBNotesMember_label_en-US" xlink:label="lab_obdc_CLOXIVClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO XIV, Class B Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOXIVClassBNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOXIVClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO XIV, Class B Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXIVClassBNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOXIVClassBNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXIVClassBNotesMember" xlink:to="lab_obdc_CLOXIVClassBNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_019e6638-c4ec-7bcb-b909-33610385633e_verboseLabel_en-US" xlink:label="lab_us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Number of Shares Issued (in shares)</link:label>
    <link:label id="lab_us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_label_en-US" xlink:label="lab_us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sale of Stock, Number of Shares Issued in Transaction</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction" xlink:to="lab_us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_JuneTwoThousandTwentyEightNotesMember_019e6638-c590-7dc7-acea-75c9d5d4df87_terseLabel_en-US" xlink:label="lab_obdc_JuneTwoThousandTwentyEightNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">June 2028 Notes</link:label>
    <link:label id="lab_obdc_JuneTwoThousandTwentyEightNotesMember_label_en-US" xlink:label="lab_obdc_JuneTwoThousandTwentyEightNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">June Two Thousand Twenty Eight Notes [Member]</link:label>
    <link:label id="lab_obdc_JuneTwoThousandTwentyEightNotesMember_documentation_en-US" xlink:label="lab_obdc_JuneTwoThousandTwentyEightNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">June Two Thousand Twenty Eight Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_JuneTwoThousandTwentyEightNotesMember" xlink:href="obdc-20260630.xsd#obdc_JuneTwoThousandTwentyEightNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_JuneTwoThousandTwentyEightNotesMember" xlink:to="lab_obdc_JuneTwoThousandTwentyEightNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendIncomeOperatingPaidInCash_019e6638-c590-7e42-86d5-615d4a727e17_terseLabel_en-US" xlink:label="lab_us-gaap_DividendIncomeOperatingPaidInCash" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividend Income</link:label>
    <link:label id="lab_us-gaap_DividendIncomeOperatingPaidInCash_019e6638-c590-7cad-9efd-746261c0d038_verboseLabel_en-US" xlink:label="lab_us-gaap_DividendIncomeOperatingPaidInCash" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">PIK Dividend Income</link:label>
    <link:label id="lab_us-gaap_DividendIncomeOperatingPaidInCash_label_en-US" xlink:label="lab_us-gaap_DividendIncomeOperatingPaidInCash" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividend Income, Operating, Paid in Cash</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendIncomeOperatingPaidInCash" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendIncomeOperatingPaidInCash"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendIncomeOperatingPaidInCash" xlink:to="lab_us-gaap_DividendIncomeOperatingPaidInCash" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers_019e6638-c590-77c0-a14b-524b75664904_terseLabel_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transfers in from the OBDE Mergers</link:label>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers_label_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers in from Mergers</link:label>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers_documentation_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers in from Mergers</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers" xlink:href="obdc-20260630.xsd#obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers" xlink:to="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIIssuerMember_019e6638-c4eb-7879-b208-0316aed31565_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII Issuer</link:label>
    <link:label id="lab_obdc_CLOVIIIssuerMember_label_en-US" xlink:label="lab_obdc_CLOVIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIIssuerMember" xlink:href="obdc-20260630.xsd#obdc_CLOVIIIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIIssuerMember" xlink:to="lab_obdc_CLOVIIIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_StateTeachersRetirementSystemOfOhioMember_019e6638-c590-7106-8079-a32c621d4f76_terseLabel_en-US" xlink:label="lab_obdc_StateTeachersRetirementSystemOfOhioMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">State Teachers Retirement System of Ohio</link:label>
    <link:label id="lab_obdc_StateTeachersRetirementSystemOfOhioMember_label_en-US" xlink:label="lab_obdc_StateTeachersRetirementSystemOfOhioMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">State Teachers Retirement System Of Ohio [Member]</link:label>
    <link:label id="lab_obdc_StateTeachersRetirementSystemOfOhioMember_documentation_en-US" xlink:label="lab_obdc_StateTeachersRetirementSystemOfOhioMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">State Teachers Retirement System Of Ohio</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_StateTeachersRetirementSystemOfOhioMember" xlink:href="obdc-20260630.xsd#obdc_StateTeachersRetirementSystemOfOhioMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_StateTeachersRetirementSystemOfOhioMember" xlink:to="lab_obdc_StateTeachersRetirementSystemOfOhioMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfCarryingValuesAndEstimatedFairValuesOfDebtInstrumentsTableTextBlock_019e6638-c4ec-7847-a34e-ce2d0b907e71_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfCarryingValuesAndEstimatedFairValuesOfDebtInstrumentsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Carrying Values and Fair Values of the Company&#8217;s Debt Obligations</link:label>
    <link:label id="lab_us-gaap_ScheduleOfCarryingValuesAndEstimatedFairValuesOfDebtInstrumentsTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfCarryingValuesAndEstimatedFairValuesOfDebtInstrumentsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Carrying Values and Estimated Fair Values of Debt Instruments [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfCarryingValuesAndEstimatedFairValuesOfDebtInstrumentsTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfCarryingValuesAndEstimatedFairValuesOfDebtInstrumentsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfCarryingValuesAndEstimatedFairValuesOfDebtInstrumentsTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfCarryingValuesAndEstimatedFairValuesOfDebtInstrumentsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardExrcPrice_terseLabel_en-US" xlink:label="lab_ecd_AwardExrcPrice" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Exercise Price</link:label>
    <link:label id="lab_ecd_AwardExrcPrice_label_en-US" xlink:label="lab_ecd_AwardExrcPrice" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Exercise Price</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardExrcPrice" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AwardExrcPrice"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardExrcPrice" xlink:to="lab_ecd_AwardExrcPrice" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_AprilTwoThousandTwentySevenNotesMember_019e6638-c427-7dc6-8621-ceca82aabcdb_terseLabel_en-US" xlink:label="lab_obdc_AprilTwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">April 2027 Notes</link:label>
    <link:label id="lab_obdc_AprilTwoThousandTwentySevenNotesMember_label_en-US" xlink:label="lab_obdc_AprilTwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">April Two Thousand Twenty Seven Notes [Member]</link:label>
    <link:label id="lab_obdc_AprilTwoThousandTwentySevenNotesMember_documentation_en-US" xlink:label="lab_obdc_AprilTwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">April Two Thousand Twenty Seven Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_AprilTwoThousandTwentySevenNotesMember" xlink:href="obdc-20260630.xsd#obdc_AprilTwoThousandTwentySevenNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_AprilTwoThousandTwentySevenNotesMember" xlink:to="lab_obdc_AprilTwoThousandTwentySevenNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_StockRepurchaseProgramAuthorizedAmount1_019e6638-c591-7199-bacc-0160d8903377_terseLabel_en-US" xlink:label="lab_srt_StockRepurchaseProgramAuthorizedAmount1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Stock repurchase program, authorized amount</link:label>
    <link:label id="lab_srt_StockRepurchaseProgramAuthorizedAmount1_label_en-US" xlink:label="lab_srt_StockRepurchaseProgramAuthorizedAmount1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share Repurchase Program, Authorized, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_StockRepurchaseProgramAuthorizedAmount1" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_StockRepurchaseProgramAuthorizedAmount1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_StockRepurchaseProgramAuthorizedAmount1" xlink:to="lab_srt_StockRepurchaseProgramAuthorizedAmount1" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateComponentTwoLessThanProductMember_019e6638-c591-79bf-8759-836eee94a4f4_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateComponentTwoLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Two, Less Than Product</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentTwoLessThanProductMember_label_en-US" xlink:label="lab_obdc_DebtVariableRateComponentTwoLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Two, Less Than Product [Member]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentTwoLessThanProductMember_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateComponentTwoLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Two, Less Than Product</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateComponentTwoLessThanProductMember" xlink:href="obdc-20260630.xsd#obdc_DebtVariableRateComponentTwoLessThanProductMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateComponentTwoLessThanProductMember" xlink:to="lab_obdc_DebtVariableRateComponentTwoLessThanProductMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease_019e6638-c591-738b-b722-b1f305f768e2_totalLabel_en-US" xlink:label="lab_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net Increase (Decrease) in Net Assets Resulting from Capital Share Transactions</link:label>
    <link:label id="lab_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease_label_en-US" xlink:label="lab_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Capital Transactions, Increase (Decrease)</link:label>
    <link:label id="lab_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease_documentation_en-US" xlink:label="lab_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Capital Transactions, Increase (Decrease)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease" xlink:href="obdc-20260630.xsd#obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease" xlink:to="lab_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember_019e6638-c4ec-71d0-b897-58517d90ea98_verboseLabel_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility</link:label>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember_019e6638-c4ec-7567-b860-0f18557ff468_terseLabel_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility</link:label>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember_label_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Senior Secured Revolving Credit Facility [Member]</link:label>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember_documentation_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Senior Secured Revolving Credit Facility</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SeniorSecuredRevolvingCreditFacilityMember" xlink:href="obdc-20260630.xsd#obdc_SeniorSecuredRevolvingCreditFacilityMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SeniorSecuredRevolvingCreditFacilityMember" xlink:to="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CaliforniaStateTeachersRetirementSystemMember_019e6638-c4ec-7e10-8d3f-fd6ff336c6bb_terseLabel_en-US" xlink:label="lab_obdc_CaliforniaStateTeachersRetirementSystemMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">California State Teachers Retirement System</link:label>
    <link:label id="lab_obdc_CaliforniaStateTeachersRetirementSystemMember_label_en-US" xlink:label="lab_obdc_CaliforniaStateTeachersRetirementSystemMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">California State Teachers Retirement System [Member]</link:label>
    <link:label id="lab_obdc_CaliforniaStateTeachersRetirementSystemMember_documentation_en-US" xlink:label="lab_obdc_CaliforniaStateTeachersRetirementSystemMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">California State Teachers Retirement System</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CaliforniaStateTeachersRetirementSystemMember" xlink:href="obdc-20260630.xsd#obdc_CaliforniaStateTeachersRetirementSystemMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CaliforniaStateTeachersRetirementSystemMember" xlink:to="lab_obdc_CaliforniaStateTeachersRetirementSystemMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentQuarterlyReport_019e6638-c4ec-700d-843e-9fb06bbba809_terseLabel_en-US" xlink:label="lab_dei_DocumentQuarterlyReport" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Quarterly Report</link:label>
    <link:label id="lab_dei_DocumentQuarterlyReport_label_en-US" xlink:label="lab_dei_DocumentQuarterlyReport" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Document Quarterly Report</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentQuarterlyReport" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentQuarterlyReport"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentQuarterlyReport" xlink:to="lab_dei_DocumentQuarterlyReport" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember_terseLabel_en-US" xlink:label="lab_ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Year-over-Year Change in Fair Value of Equity Awards Granted in Prior Years That are Outstanding and Unvested</link:label>
    <link:label id="lab_ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember_label_en-US" xlink:label="lab_ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Year-over-Year Change in Fair Value of Equity Awards Granted in Prior Years That are Outstanding and Unvested [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember" xlink:to="lab_ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_O2025Q1DividendsMember_019e6638-c427-77f1-997f-a9c3efa472c6_terseLabel_en-US" xlink:label="lab_obdc_O2025Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">O 2025 Q1 Dividends</link:label>
    <link:label id="lab_obdc_O2025Q1DividendsMember_label_en-US" xlink:label="lab_obdc_O2025Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">O 2025 Q1 Dividends [Member]</link:label>
    <link:label id="lab_obdc_O2025Q1DividendsMember_documentation_en-US" xlink:label="lab_obdc_O2025Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">O 2025 Q1 Dividends</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_O2025Q1DividendsMember" xlink:href="obdc-20260630.xsd#obdc_O2025Q1DividendsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_O2025Q1DividendsMember" xlink:to="lab_obdc_O2025Q1DividendsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput_019e6638-c4ec-776c-b8ab-eee67a736b26_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Range (Weighted Average)</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Investment Owned, Measurement Input</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentOwnedAtCost_019e6638-c4ec-77b3-a2b5-9479783751c0_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtCost" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amortized cost</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedAtCost_019e6638-c4ec-7108-b3ed-12de15dbe62b_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtCost" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Amortized Cost</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedAtCost_label_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Owned, Cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentOwnedAtCost" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentOwnedAtCost"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedAtCost" xlink:to="lab_us-gaap_InvestmentOwnedAtCost" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIRefinancingIssuerMember_019e6638-c4eb-76aa-bbac-69cfcee19fc7_terseLabel_en-US" xlink:label="lab_obdc_CLOIRefinancingIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I Refinancing Issuer</link:label>
    <link:label id="lab_obdc_CLOIRefinancingIssuerMember_label_en-US" xlink:label="lab_obdc_CLOIRefinancingIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I Refinancing Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOIRefinancingIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOIRefinancingIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I Refinancing Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIRefinancingIssuerMember" xlink:href="obdc-20260630.xsd#obdc_CLOIRefinancingIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIRefinancingIssuerMember" xlink:to="lab_obdc_CLOIRefinancingIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossAdditions_019e6638-c4ec-785c-b975-c13f12c5ad01_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossAdditions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Gross Additions</link:label>
    <link:label id="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossAdditions_label_en-US" xlink:label="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossAdditions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments in and Advances to Affiliates, at Fair Value, Gross Additions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossAdditions" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossAdditions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossAdditions" xlink:to="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossAdditions" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ReceivableInvestmentSale_019e6638-c4ec-7ee6-9674-3a96e487a0cb_terseLabel_en-US" xlink:label="lab_us-gaap_ReceivableInvestmentSale" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Receivable for investments sold</link:label>
    <link:label id="lab_us-gaap_ReceivableInvestmentSale_label_en-US" xlink:label="lab_us-gaap_ReceivableInvestmentSale" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Receivable, Investment, Sale</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReceivableInvestmentSale" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ReceivableInvestmentSale"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ReceivableInvestmentSale" xlink:to="lab_us-gaap_ReceivableInvestmentSale" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ManagementFeeExpense_019e6638-c427-7a17-8f45-2387cf65f9be_terseLabel_en-US" xlink:label="lab_us-gaap_ManagementFeeExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Management fees</link:label>
    <link:label id="lab_us-gaap_ManagementFeeExpense_label_en-US" xlink:label="lab_us-gaap_ManagementFeeExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Management Fee Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ManagementFeeExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ManagementFeeExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ManagementFeeExpense" xlink:to="lab_us-gaap_ManagementFeeExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TwoThousandThirtyOneNotesMember_019f83a0-fd01-7fb6-8bd8-8147b766a30b_terseLabel_en-US" xlink:label="lab_obdc_TwoThousandThirtyOneNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2031 Notes</link:label>
    <link:label id="lab_obdc_TwoThousandThirtyOneNotesMember_label_en-US" xlink:label="lab_obdc_TwoThousandThirtyOneNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Two Thousand Thirty One Notes [Member]</link:label>
    <link:label id="lab_obdc_TwoThousandThirtyOneNotesMember_documentation_en-US" xlink:label="lab_obdc_TwoThousandThirtyOneNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Two Thousand Thirty One Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TwoThousandThirtyOneNotesMember" xlink:href="obdc-20260630.xsd#obdc_TwoThousandThirtyOneNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TwoThousandThirtyOneNotesMember" xlink:to="lab_obdc_TwoThousandThirtyOneNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentEconomicOwnershipPercentage_019e6638-c4ec-7d8b-a318-380d43e33cf5_terseLabel_en-US" xlink:label="lab_obdc_InvestmentEconomicOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment, ownership percentage</link:label>
    <link:label id="lab_obdc_InvestmentEconomicOwnershipPercentage_019e6638-c4ec-7203-a8c0-c36611ae894f_verboseLabel_en-US" xlink:label="lab_obdc_InvestmentEconomicOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Economic Ownership Interest</link:label>
    <link:label id="lab_obdc_InvestmentEconomicOwnershipPercentage_label_en-US" xlink:label="lab_obdc_InvestmentEconomicOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Economic Ownership Percentage</link:label>
    <link:label id="lab_obdc_InvestmentEconomicOwnershipPercentage_documentation_en-US" xlink:label="lab_obdc_InvestmentEconomicOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment, Economic Ownership Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentEconomicOwnershipPercentage" xlink:href="obdc-20260630.xsd#obdc_InvestmentEconomicOwnershipPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentEconomicOwnershipPercentage" xlink:to="lab_obdc_InvestmentEconomicOwnershipPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardsCloseToMnpiDiscTableTextBlock_terseLabel_en-US" xlink:label="lab_ecd_AwardsCloseToMnpiDiscTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Awards Close in Time to MNPI Disclosures, Table</link:label>
    <link:label id="lab_ecd_AwardsCloseToMnpiDiscTableTextBlock_label_en-US" xlink:label="lab_ecd_AwardsCloseToMnpiDiscTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Awards Close in Time to MNPI Disclosures [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardsCloseToMnpiDiscTableTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AwardsCloseToMnpiDiscTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardsCloseToMnpiDiscTableTextBlock" xlink:to="lab_ecd_AwardsCloseToMnpiDiscTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock_019e6638-c590-70af-97a8-9973a7d1b7ed_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial Highlights</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Financial Highlights [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyFinancialHighlightsTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock" xlink:to="lab_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquityComponentDomain_019e6638-c427-75fa-8c36-5b637787d389_terseLabel_en-US" xlink:label="lab_us-gaap_EquityComponentDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Component [Domain]</link:label>
    <link:label id="lab_us-gaap_EquityComponentDomain_label_en-US" xlink:label="lab_us-gaap_EquityComponentDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Component [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityComponentDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquityComponentDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityComponentDomain" xlink:to="lab_us-gaap_EquityComponentDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MeasurementInputTypeDomain_019e6638-c427-7b72-b082-02b0abed5f77_terseLabel_en-US" xlink:label="lab_us-gaap_MeasurementInputTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Measurement Input Type [Domain]</link:label>
    <link:label id="lab_us-gaap_MeasurementInputTypeDomain_label_en-US" xlink:label="lab_us-gaap_MeasurementInputTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input Type [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MeasurementInputTypeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MeasurementInputTypeDomain" xlink:to="lab_us-gaap_MeasurementInputTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1_019e6638-c591-7672-9ecf-eb4012151bf9_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized gain (loss) / realized gains (losses)</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIClassA2NotesMember_019e6638-c591-79b8-bded-84ece451974e_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO III, Class A-2 Notes</link:label>
    <link:label id="lab_obdc_CLOIIIClassA2NotesMember_label_en-US" xlink:label="lab_obdc_CLOIIIClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO III, Class A-2 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIClassA2NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO III, Class A-2 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIClassA2NotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIIIClassA2NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIClassA2NotesMember" xlink:to="lab_obdc_CLOIIIClassA2NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity_019e6638-c4ec-791b-b01c-a7f93677302a_negatedLabel_en-US" xlink:label="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Purchases of investments, net</link:label>
    <link:label id="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity_label_en-US" xlink:label="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payment for Purchase, Investment, Operating Activity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xlink:to="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare_019e6638-c427-73d5-8287-65e14912ec80_negatedTerseLabel_en-US" xlink:label="lab_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Issuance of common shares in connection with the OBDE Mergers (in usd per share)</link:label>
    <link:label id="lab_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare_label_en-US" xlink:label="lab_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Share Issuance with Mergers, Per Share</link:label>
    <link:label id="lab_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare_documentation_en-US" xlink:label="lab_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Share Issuance with Mergers, Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare" xlink:href="obdc-20260630.xsd#obdc_InvestmentCompanyShareIssuanceWithMergersPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare" xlink:to="lab_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIncomeNetAbstract_019e6638-c4ec-75cd-b04f-7048c4f8d815_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeNetAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Investment Income</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeNetAbstract_label_en-US" xlink:label="lab_us-gaap_InvestmentIncomeNetAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Income, Net [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeNetAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentIncomeNetAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIncomeNetAbstract" xlink:to="lab_us-gaap_InvestmentIncomeNetAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SaleOfStockConsiderationReceivedOnTransaction_019e6638-c590-7139-9939-ea9d3b633396_terseLabel_en-US" xlink:label="lab_us-gaap_SaleOfStockConsiderationReceivedOnTransaction" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Proceeds</link:label>
    <link:label id="lab_us-gaap_SaleOfStockConsiderationReceivedOnTransaction_label_en-US" xlink:label="lab_us-gaap_SaleOfStockConsiderationReceivedOnTransaction" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sale of Stock, Consideration Received on Transaction</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SaleOfStockConsiderationReceivedOnTransaction" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SaleOfStockConsiderationReceivedOnTransaction"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SaleOfStockConsiderationReceivedOnTransaction" xlink:to="lab_us-gaap_SaleOfStockConsiderationReceivedOnTransaction" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TrdArrAdoptionDate_terseLabel_en-US" xlink:label="lab_ecd_TrdArrAdoptionDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Adoption Date</link:label>
    <link:label id="lab_ecd_TrdArrAdoptionDate_label_en-US" xlink:label="lab_ecd_TrdArrAdoptionDate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangement Adoption Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TrdArrAdoptionDate" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_TrdArrAdoptionDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TrdArrAdoptionDate" xlink:to="lab_ecd_TrdArrAdoptionDate" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_RepurchaseAgreementCounterpartyNameDomain_019e6638-c590-71ea-b40f-c54caa2d2300_terseLabel_en-US" xlink:label="lab_srt_RepurchaseAgreementCounterpartyNameDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Counterparty Name [Domain]</link:label>
    <link:label id="lab_srt_RepurchaseAgreementCounterpartyNameDomain_label_en-US" xlink:label="lab_srt_RepurchaseAgreementCounterpartyNameDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Counterparty Name [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RepurchaseAgreementCounterpartyNameDomain" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RepurchaseAgreementCounterpartyNameDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_RepurchaseAgreementCounterpartyNameDomain" xlink:to="lab_srt_RepurchaseAgreementCounterpartyNameDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TrdArrIndTitle_terseLabel_en-US" xlink:label="lab_ecd_TrdArrIndTitle" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Title</link:label>
    <link:label id="lab_ecd_TrdArrIndTitle_label_en-US" xlink:label="lab_ecd_TrdArrIndTitle" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangement, Individual Title</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TrdArrIndTitle" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_TrdArrIndTitle"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TrdArrIndTitle" xlink:to="lab_ecd_TrdArrIndTitle" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt_terseLabel_en-US" xlink:label="lab_ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Forgone Recovery due to Disqualification of Tax Benefits, Amount</link:label>
    <link:label id="lab_ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt_label_en-US" xlink:label="lab_ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Forgone Recovery due to Disqualification of Tax Benefits, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt" xlink:to="lab_ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_FirstLienInvestmentsMember_019e6638-c590-72a1-b0fb-5dcaa472cbb8_terseLabel_en-US" xlink:label="lab_obdc_FirstLienInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">First-Lien Investments</link:label>
    <link:label id="lab_obdc_FirstLienInvestmentsMember_label_en-US" xlink:label="lab_obdc_FirstLienInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">First-Lien Investments [Member]</link:label>
    <link:label id="lab_obdc_FirstLienInvestmentsMember_documentation_en-US" xlink:label="lab_obdc_FirstLienInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">First-Lien Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_FirstLienInvestmentsMember" xlink:href="obdc-20260630.xsd#obdc_FirstLienInvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_FirstLienInvestmentsMember" xlink:to="lab_obdc_FirstLienInvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AccountingPoliciesAbstract_019e6638-c591-723d-af9d-544d0609b00a_terseLabel_en-US" xlink:label="lab_us-gaap_AccountingPoliciesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accounting Policies [Abstract]</link:label>
    <link:label id="lab_us-gaap_AccountingPoliciesAbstract_label_en-US" xlink:label="lab_us-gaap_AccountingPoliciesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accounting Policies [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountingPoliciesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountingPoliciesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccountingPoliciesAbstract" xlink:to="lab_us-gaap_AccountingPoliciesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_RestatementDoesNotRequireRecoveryTextBlock_terseLabel_en-US" xlink:label="lab_ecd_RestatementDoesNotRequireRecoveryTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restatement does not require Recovery</link:label>
    <link:label id="lab_ecd_RestatementDoesNotRequireRecoveryTextBlock_label_en-US" xlink:label="lab_ecd_RestatementDoesNotRequireRecoveryTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restatement Does Not Require Recovery [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_RestatementDoesNotRequireRecoveryTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_RestatementDoesNotRequireRecoveryTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_RestatementDoesNotRequireRecoveryTextBlock" xlink:to="lab_ecd_RestatementDoesNotRequireRecoveryTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsOfStockIssuanceCosts_019e6638-c591-7a12-bd90-e18ecaac92f5_terseLabel_en-US" xlink:label="lab_us-gaap_PaymentsOfStockIssuanceCosts" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Underwriting Fees/Offering Expenses</link:label>
    <link:label id="lab_us-gaap_PaymentsOfStockIssuanceCosts_label_en-US" xlink:label="lab_us-gaap_PaymentsOfStockIssuanceCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments of Stock Issuance Costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfStockIssuanceCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsOfStockIssuanceCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsOfStockIssuanceCosts" xlink:to="lab_us-gaap_PaymentsOfStockIssuanceCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestIncomeOperating_019e6638-c4ec-7be5-a9ae-08893723c2e1_terseLabel_en-US" xlink:label="lab_us-gaap_InterestIncomeOperating" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest income</link:label>
    <link:label id="lab_us-gaap_InterestIncomeOperating_label_en-US" xlink:label="lab_us-gaap_InterestIncomeOperating" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Income, Operating</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeOperating" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeOperating"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestIncomeOperating" xlink:to="lab_us-gaap_InterestIncomeOperating" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIClassAFRNotesMember_019e6638-c4ec-7db5-8f9e-98bd46adeb47_terseLabel_en-US" xlink:label="lab_obdc_CLOIClassAFRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I, Class A-FR Notes</link:label>
    <link:label id="lab_obdc_CLOIClassAFRNotesMember_label_en-US" xlink:label="lab_obdc_CLOIClassAFRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class A-FR Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassAFRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassAFRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class A-FR Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIClassAFRNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIClassAFRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIClassAFRNotesMember" xlink:to="lab_obdc_CLOIClassAFRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_InsiderTrdPoliciesProcAdoptedFlag_terseLabel_en-US" xlink:label="lab_ecd_InsiderTrdPoliciesProcAdoptedFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Insider Trading Policies and Procedures Adopted</link:label>
    <link:label id="lab_ecd_InsiderTrdPoliciesProcAdoptedFlag_label_en-US" xlink:label="lab_ecd_InsiderTrdPoliciesProcAdoptedFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Insider Trading Policies and Procedures Adopted [Flag]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_InsiderTrdPoliciesProcAdoptedFlag" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_InsiderTrdPoliciesProcAdoptedFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_InsiderTrdPoliciesProcAdoptedFlag" xlink:to="lab_ecd_InsiderTrdPoliciesProcAdoptedFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIClassBRNotesMember_019e6638-c590-7e79-88a1-56f8c3bc3232_terseLabel_en-US" xlink:label="lab_obdc_CLOIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO II, Class B-R Notes</link:label>
    <link:label id="lab_obdc_CLOIIClassBRNotesMember_label_en-US" xlink:label="lab_obdc_CLOIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO II, Class B-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIClassBRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO II, Class B-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIClassBRNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIIClassBRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIClassBRNotesMember" xlink:to="lab_obdc_CLOIIClassBRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentsGainLossLineItems_019e6638-c591-72cb-ade9-ba8af4c9b1e2_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Instruments, Gain (Loss) [Line Items]</link:label>
    <link:label id="lab_us-gaap_DerivativeInstrumentsGainLossLineItems_label_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Instruments, Gain (Loss) [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentsGainLossLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:to="lab_us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIssuerMember_019e6638-c4ec-7c14-b559-8712acd92350_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO II Issuer</link:label>
    <link:label id="lab_obdc_CLOIIIssuerMember_label_en-US" xlink:label="lab_obdc_CLOIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO II Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO II Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIssuerMember" xlink:href="obdc-20260630.xsd#obdc_CLOIIIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIssuerMember" xlink:to="lab_obdc_CLOIIIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RepaymentsOfDebt_019e6638-c4ec-7caa-8517-dcbc0a6c8b3d_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_RepaymentsOfDebt" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Payments on debt</link:label>
    <link:label id="lab_us-gaap_RepaymentsOfDebt_label_en-US" xlink:label="lab_us-gaap_RepaymentsOfDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repayments of Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RepaymentsOfDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RepaymentsOfDebt" xlink:to="lab_us-gaap_RepaymentsOfDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessAcquisitionAcquireeDomain_019e6638-c590-723d-a594-6758ec716922_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionAcquireeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Business Combination [Domain]</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionAcquireeDomain_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionAcquireeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain" xlink:to="lab_us-gaap_BusinessAcquisitionAcquireeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_019e6638-c590-7ebf-a05c-779a406a2e87_terseLabel_en-US" xlink:label="lab_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitments and Contingencies</link:label>
    <link:label id="lab_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitments and Contingencies Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommitmentsAndContingenciesDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" xlink:to="lab_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_CompActuallyPaidVsNetIncomeTextBlock_terseLabel_en-US" xlink:label="lab_ecd_CompActuallyPaidVsNetIncomeTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Compensation Actually Paid vs. Net Income</link:label>
    <link:label id="lab_ecd_CompActuallyPaidVsNetIncomeTextBlock_label_en-US" xlink:label="lab_ecd_CompActuallyPaidVsNetIncomeTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Compensation Actually Paid vs. Net Income [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_CompActuallyPaidVsNetIncomeTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_CompActuallyPaidVsNetIncomeTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_CompActuallyPaidVsNetIncomeTextBlock" xlink:to="lab_ecd_CompActuallyPaidVsNetIncomeTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CommitmentToLSIFinancingLLCMember_019e6638-c4ec-702d-9efe-2bb13363ba72_terseLabel_en-US" xlink:label="lab_obdc_CommitmentToLSIFinancingLLCMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitment To LSI Financing LLC</link:label>
    <link:label id="lab_obdc_CommitmentToLSIFinancingLLCMember_label_en-US" xlink:label="lab_obdc_CommitmentToLSIFinancingLLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitment To LSI Financing LLC [Member]</link:label>
    <link:label id="lab_obdc_CommitmentToLSIFinancingLLCMember_documentation_en-US" xlink:label="lab_obdc_CommitmentToLSIFinancingLLCMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Commitment To LSI Financing LLC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CommitmentToLSIFinancingLLCMember" xlink:href="obdc-20260630.xsd#obdc_CommitmentToLSIFinancingLLCMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CommitmentToLSIFinancingLLCMember" xlink:to="lab_obdc_CommitmentToLSIFinancingLLCMember" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_WeightedAverageMember_019e6638-c4ec-7d7d-bfe9-a3f1f3fb6d1e_terseLabel_en-US" xlink:label="lab_srt_WeightedAverageMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Weighted Average</link:label>
    <link:label id="lab_srt_WeightedAverageMember_label_en-US" xlink:label="lab_srt_WeightedAverageMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted Average [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_WeightedAverageMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_WeightedAverageMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_WeightedAverageMember" xlink:to="lab_srt_WeightedAverageMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AllAdjToCompMember_terseLabel_en-US" xlink:label="lab_ecd_AllAdjToCompMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">All Adjustments to Compensation</link:label>
    <link:label id="lab_ecd_AllAdjToCompMember_label_en-US" xlink:label="lab_ecd_AllAdjToCompMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">All Adjustments to Compensation [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AllAdjToCompMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AllAdjToCompMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AllAdjToCompMember" xlink:to="lab_ecd_AllAdjToCompMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsForProceedsFromDerivativeInstrumentFinancingActivities_019e6638-c4ec-7b30-8c48-6c28400b0b7b_terseLabel_en-US" xlink:label="lab_us-gaap_PaymentsForProceedsFromDerivativeInstrumentFinancingActivities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Upfront Payments/Receipts</link:label>
    <link:label id="lab_us-gaap_PaymentsForProceedsFromDerivativeInstrumentFinancingActivities_label_en-US" xlink:label="lab_us-gaap_PaymentsForProceedsFromDerivativeInstrumentFinancingActivities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments for (Proceeds from) Derivative Instrument, Financing Activities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForProceedsFromDerivativeInstrumentFinancingActivities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsForProceedsFromDerivativeInstrumentFinancingActivities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsForProceedsFromDerivativeInstrumentFinancingActivities" xlink:to="lab_us-gaap_PaymentsForProceedsFromDerivativeInstrumentFinancingActivities" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInvestmentMember_019e6638-c590-7d94-9e64-e9cff87f7f82_terseLabel_en-US" xlink:label="lab_obdc_DebtInvestmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Investment</link:label>
    <link:label id="lab_obdc_DebtInvestmentMember_label_en-US" xlink:label="lab_obdc_DebtInvestmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Investment [Member]</link:label>
    <link:label id="lab_obdc_DebtInvestmentMember_documentation_en-US" xlink:label="lab_obdc_DebtInvestmentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Investment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInvestmentMember" xlink:href="obdc-20260630.xsd#obdc_DebtInvestmentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInvestmentMember" xlink:to="lab_obdc_DebtInvestmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessAcquisitionAxis_019e6638-c590-7892-81f6-0877f207aa1c_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Business Combination [Axis]</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionAxis_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionAxis" xlink:to="lab_us-gaap_BusinessAcquisitionAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeTaxPolicyTextBlock_019e6638-c590-7b11-a0f6-5403fd041663_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Income Taxes</link:label>
    <link:label id="lab_us-gaap_IncomeTaxPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_IncomeTaxPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Tax, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxPolicyTextBlock" xlink:to="lab_us-gaap_IncomeTaxPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities_019e6638-c590-7c0a-a021-88665172f1ff_totalLabel_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net cash provided by (used in) operating activities</link:label>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities_label_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash Provided by (Used in) Operating Activity, Including Discontinued Operation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:to="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BlueOwlAlternativeCreditFundMember_019e6638-c591-7109-8faf-27b5435f2969_terseLabel_en-US" xlink:label="lab_obdc_BlueOwlAlternativeCreditFundMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blue Owl Alternative Credit Fund</link:label>
    <link:label id="lab_obdc_BlueOwlAlternativeCreditFundMember_label_en-US" xlink:label="lab_obdc_BlueOwlAlternativeCreditFundMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blue Owl Alternative Credit Fund [Member]</link:label>
    <link:label id="lab_obdc_BlueOwlAlternativeCreditFundMember_documentation_en-US" xlink:label="lab_obdc_BlueOwlAlternativeCreditFundMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blue Owl Alternative Credit Fund</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BlueOwlAlternativeCreditFundMember" xlink:href="obdc-20260630.xsd#obdc_BlueOwlAlternativeCreditFundMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BlueOwlAlternativeCreditFundMember" xlink:to="lab_obdc_BlueOwlAlternativeCreditFundMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeStatementAbstract_019e6638-c590-7a90-aed0-b6c488b82368_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeStatementAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statement of Operations</link:label>
    <link:label id="lab_us-gaap_IncomeStatementAbstract_label_en-US" xlink:label="lab_us-gaap_IncomeStatementAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Statement [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeStatementAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeStatementAbstract" xlink:to="lab_us-gaap_IncomeStatementAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockholdersEquityAbstract_019e6638-c591-73b4-80ee-382539e16ed7_terseLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquityAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Assets</link:label>
    <link:label id="lab_us-gaap_StockholdersEquityAbstract_label_en-US" xlink:label="lab_us-gaap_StockholdersEquityAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity, Attributable to Parent [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquityAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockholdersEquityAbstract" xlink:to="lab_us-gaap_StockholdersEquityAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentTransitionReport_019e6638-c427-77c6-835f-75f042f961e9_terseLabel_en-US" xlink:label="lab_dei_DocumentTransitionReport" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Transition Report</link:label>
    <link:label id="lab_dei_DocumentTransitionReport_label_en-US" xlink:label="lab_dei_DocumentTransitionReport" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Document Transition Report</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentTransitionReport" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentTransitionReport"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentTransitionReport" xlink:to="lab_dei_DocumentTransitionReport" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OperatingExpensesAbstract_019e6638-c4ec-7530-85c0-57c156f7d703_verboseLabel_en-US" xlink:label="lab_us-gaap_OperatingExpensesAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Operating Expenses</link:label>
    <link:label id="lab_us-gaap_OperatingExpensesAbstract_label_en-US" xlink:label="lab_us-gaap_OperatingExpensesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Operating Expenses [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingExpensesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingExpensesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingExpensesAbstract" xlink:to="lab_us-gaap_OperatingExpensesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockAppreciationRightsSARSMember_terseLabel_en-US" xlink:label="lab_us-gaap_StockAppreciationRightsSARSMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Stock Appreciation Rights (SARs)</link:label>
    <link:label id="lab_us-gaap_StockAppreciationRightsSARSMember_label_en-US" xlink:label="lab_us-gaap_StockAppreciationRightsSARSMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Appreciation Rights (SARs) [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockAppreciationRightsSARSMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockAppreciationRightsSARSMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockAppreciationRightsSARSMember" xlink:to="lab_us-gaap_StockAppreciationRightsSARSMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BlueOwlLeasingJVLLCMember_019e6638-c590-71db-a4d2-52b7bd5d53d4_terseLabel_en-US" xlink:label="lab_obdc_BlueOwlLeasingJVLLCMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blue Owl Leasing JV LLC</link:label>
    <link:label id="lab_obdc_BlueOwlLeasingJVLLCMember_label_en-US" xlink:label="lab_obdc_BlueOwlLeasingJVLLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blue Owl Leasing JV LLC [Member]</link:label>
    <link:label id="lab_obdc_BlueOwlLeasingJVLLCMember_documentation_en-US" xlink:label="lab_obdc_BlueOwlLeasingJVLLCMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blue Owl Leasing JV LLC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BlueOwlLeasingJVLLCMember" xlink:href="obdc-20260630.xsd#obdc_BlueOwlLeasingJVLLCMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BlueOwlLeasingJVLLCMember" xlink:to="lab_obdc_BlueOwlLeasingJVLLCMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedAppreciation_019e6638-c4ec-733d-8fde-e346eb4374df_terseLabel_en-US" xlink:label="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedAppreciation" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unrealized gain for U.S. federal income tax purposes</link:label>
    <link:label id="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedAppreciation_label_en-US" xlink:label="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedAppreciation" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Tax Basis, Unrealized Gain</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedAppreciation" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TaxBasisOfInvestmentsGrossUnrealizedAppreciation"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedAppreciation" xlink:to="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedAppreciation" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier_019e6638-c591-768a-bbe0-49776d4dcc87_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate term multiplier</link:label>
    <link:label id="lab_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier_label_en-US" xlink:label="lab_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Interest Rate Terms, Gross Borrowing Base, Multiplier</link:label>
    <link:label id="lab_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Interest Rate Terms, Gross Borrowing Base, Multiplier</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier" xlink:href="obdc-20260630.xsd#obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier" xlink:to="lab_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_JulyTwoThousandTwentySixNotesMember_019e6638-c427-7b3d-9b03-54f3b93f72e1_terseLabel_en-US" xlink:label="lab_obdc_JulyTwoThousandTwentySixNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">July 2026 Notes</link:label>
    <link:label id="lab_obdc_JulyTwoThousandTwentySixNotesMember_label_en-US" xlink:label="lab_obdc_JulyTwoThousandTwentySixNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">July Two Thousand Twenty Six Notes [Member]</link:label>
    <link:label id="lab_obdc_JulyTwoThousandTwentySixNotesMember_documentation_en-US" xlink:label="lab_obdc_JulyTwoThousandTwentySixNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">July Two Thousand Twenty Six Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_JulyTwoThousandTwentySixNotesMember" xlink:href="obdc-20260630.xsd#obdc_JulyTwoThousandTwentySixNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_JulyTwoThousandTwentySixNotesMember" xlink:to="lab_obdc_JulyTwoThousandTwentySixNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentBasisSpreadVariableRate_019e6638-c591-76fc-b922-7312feff2dca_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentBasisSpreadVariableRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest</link:label>
    <link:label id="lab_us-gaap_InvestmentBasisSpreadVariableRate_label_en-US" xlink:label="lab_us-gaap_InvestmentBasisSpreadVariableRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Basis Spread, Variable Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentBasisSpreadVariableRate" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentBasisSpreadVariableRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentBasisSpreadVariableRate" xlink:to="lab_us-gaap_InvestmentBasisSpreadVariableRate" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_CityAreaCode_019e6638-c591-7913-b961-8ad6eb6473e9_terseLabel_en-US" xlink:label="lab_dei_CityAreaCode" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">City Area Code</link:label>
    <link:label id="lab_dei_CityAreaCode_label_en-US" xlink:label="lab_dei_CityAreaCode" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">City Area Code</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CityAreaCode"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_CityAreaCode" xlink:to="lab_dei_CityAreaCode" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BlueOwlCapitalCorporationMember_019e6638-c590-7623-809b-d026a7572f4b_terseLabel_en-US" xlink:label="lab_obdc_BlueOwlCapitalCorporationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blue Owl Capital Corporation</link:label>
    <link:label id="lab_obdc_BlueOwlCapitalCorporationMember_label_en-US" xlink:label="lab_obdc_BlueOwlCapitalCorporationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blue Owl Capital Corporation [Member]</link:label>
    <link:label id="lab_obdc_BlueOwlCapitalCorporationMember_documentation_en-US" xlink:label="lab_obdc_BlueOwlCapitalCorporationMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blue Owl Capital Corporation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BlueOwlCapitalCorporationMember" xlink:href="obdc-20260630.xsd#obdc_BlueOwlCapitalCorporationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BlueOwlCapitalCorporationMember" xlink:to="lab_obdc_BlueOwlCapitalCorporationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RestrictedInvestmentsPercentOfNetAssets_019e6638-c4ec-7c16-947d-454152892162_terseLabel_en-US" xlink:label="lab_us-gaap_RestrictedInvestmentsPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restricted investments as a percentage of net assets</link:label>
    <link:label id="lab_us-gaap_RestrictedInvestmentsPercentOfNetAssets_label_en-US" xlink:label="lab_us-gaap_RestrictedInvestmentsPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restricted Investments, Percent of Net Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedInvestmentsPercentOfNetAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RestrictedInvestmentsPercentOfNetAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RestrictedInvestmentsPercentOfNetAssets" xlink:to="lab_us-gaap_RestrictedInvestmentsPercentOfNetAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractAUDMember_019e6638-c591-7ff6-880c-cbdd716e673d_terseLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractAUDMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency forward contract AUD</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractAUDMember_label_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractAUDMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract AUD [Member]</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractAUDMember_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractAUDMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract AUD</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyForwardContractAUDMember" xlink:href="obdc-20260630.xsd#obdc_ForeignCurrencyForwardContractAUDMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyForwardContractAUDMember" xlink:to="lab_obdc_ForeignCurrencyForwardContractAUDMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassAL2RLoansMember_019e6638-c427-7e31-933e-e0a88555eb9c_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassAL2RLoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L2-R loans</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL2RLoansMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassAL2RLoansMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L2-R loans [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL2RLoansMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassAL2RLoansMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L2-R loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassAL2RLoansMember" xlink:href="obdc-20260630.xsd#obdc_CLOVIIClassAL2RLoansMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassAL2RLoansMember" xlink:to="lab_obdc_CLOVIIClassAL2RLoansMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_GeographicConcentrationRiskMember_019e6638-c427-772b-a8c2-2dbd052be315_terseLabel_en-US" xlink:label="lab_us-gaap_GeographicConcentrationRiskMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Geographic Concentration Risk</link:label>
    <link:label id="lab_us-gaap_GeographicConcentrationRiskMember_label_en-US" xlink:label="lab_us-gaap_GeographicConcentrationRiskMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Geographic Concentration Risk [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GeographicConcentrationRiskMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_GeographicConcentrationRiskMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GeographicConcentrationRiskMember" xlink:to="lab_us-gaap_GeographicConcentrationRiskMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventsTextBlock_019e6638-c4ec-7620-9fd2-e14e9595a98d_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventsTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsequent Events</link:label>
    <link:label id="lab_us-gaap_SubsequentEventsTextBlock_label_en-US" xlink:label="lab_us-gaap_SubsequentEventsTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Events [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventsTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventsTextBlock" xlink:to="lab_us-gaap_SubsequentEventsTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MeasurementInputPriceVolatilityMember_019e6638-c590-70f4-b9a1-a2863bca3899_terseLabel_en-US" xlink:label="lab_us-gaap_MeasurementInputPriceVolatilityMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Volatility</link:label>
    <link:label id="lab_us-gaap_MeasurementInputPriceVolatilityMember_label_en-US" xlink:label="lab_us-gaap_MeasurementInputPriceVolatilityMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Price Volatility [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputPriceVolatilityMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MeasurementInputPriceVolatilityMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MeasurementInputPriceVolatilityMember" xlink:to="lab_us-gaap_MeasurementInputPriceVolatilityMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ForgoneRecoveryIndName_terseLabel_en-US" xlink:label="lab_ecd_ForgoneRecoveryIndName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Name</link:label>
    <link:label id="lab_ecd_ForgoneRecoveryIndName_label_en-US" xlink:label="lab_ecd_ForgoneRecoveryIndName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Forgone Recovery, Individual Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ForgoneRecoveryIndName" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_ForgoneRecoveryIndName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ForgoneRecoveryIndName" xlink:to="lab_ecd_ForgoneRecoveryIndName" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_S2025Q1DividendsMember_019e6638-c590-7ddb-8893-6389c6867878_terseLabel_en-US" xlink:label="lab_obdc_S2025Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">S 2025 Q1 Dividends</link:label>
    <link:label id="lab_obdc_S2025Q1DividendsMember_label_en-US" xlink:label="lab_obdc_S2025Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">S 2025 Q1 Dividends [Member]</link:label>
    <link:label id="lab_obdc_S2025Q1DividendsMember_documentation_en-US" xlink:label="lab_obdc_S2025Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">S 2025 Q1 Dividends</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_S2025Q1DividendsMember" xlink:href="obdc-20260630.xsd#obdc_S2025Q1DividendsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_S2025Q1DividendsMember" xlink:to="lab_obdc_S2025Q1DividendsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember_019e6638-c591-7ba3-909b-e05fe43fde55_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Average Gross Assets</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Average Gross Assets [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Average Gross Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember" xlink:href="obdc-20260630.xsd#obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_NonGaapMeasureDescriptionTextBlock_terseLabel_en-US" xlink:label="lab_ecd_NonGaapMeasureDescriptionTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-GAAP Measure Description</link:label>
    <link:label id="lab_ecd_NonGaapMeasureDescriptionTextBlock_label_en-US" xlink:label="lab_ecd_NonGaapMeasureDescriptionTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-GAAP Measure Description [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_NonGaapMeasureDescriptionTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_NonGaapMeasureDescriptionTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_NonGaapMeasureDescriptionTextBlock" xlink:to="lab_ecd_NonGaapMeasureDescriptionTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityDomain_019e6638-c4ec-70b7-8c00-963cc9f3af9d_terseLabel_en-US" xlink:label="lab_dei_EntityDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity [Domain]</link:label>
    <link:label id="lab_dei_EntityDomain_label_en-US" xlink:label="lab_dei_EntityDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityDomain" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityDomain" xlink:to="lab_dei_EntityDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EnergyEquipmentAndServicesMember_019e6638-c590-72ad-9461-9fb362e76b3d_terseLabel_en-US" xlink:label="lab_obdc_EnergyEquipmentAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Energy equipment and services</link:label>
    <link:label id="lab_obdc_EnergyEquipmentAndServicesMember_label_en-US" xlink:label="lab_obdc_EnergyEquipmentAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Energy Equipment and Services [Member]</link:label>
    <link:label id="lab_obdc_EnergyEquipmentAndServicesMember_documentation_en-US" xlink:label="lab_obdc_EnergyEquipmentAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Energy Equipment and Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EnergyEquipmentAndServicesMember" xlink:href="obdc-20260630.xsd#obdc_EnergyEquipmentAndServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EnergyEquipmentAndServicesMember" xlink:to="lab_obdc_EnergyEquipmentAndServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_IndustryConcentrationRiskMember_019e6638-c4ec-7d8f-a105-e6362dd6665d_terseLabel_en-US" xlink:label="lab_obdc_IndustryConcentrationRiskMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Industry Concentration Risk</link:label>
    <link:label id="lab_obdc_IndustryConcentrationRiskMember_label_en-US" xlink:label="lab_obdc_IndustryConcentrationRiskMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Industry Concentration Risk [Member]</link:label>
    <link:label id="lab_obdc_IndustryConcentrationRiskMember_documentation_en-US" xlink:label="lab_obdc_IndustryConcentrationRiskMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Industry Concentration Risk</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_IndustryConcentrationRiskMember" xlink:href="obdc-20260630.xsd#obdc_IndustryConcentrationRiskMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_IndustryConcentrationRiskMember" xlink:to="lab_obdc_IndustryConcentrationRiskMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyMarketValuePerShare_019e6638-c4ec-75b3-9ed7-1d21d5319625_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyMarketValuePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Per share market value at end of period (in usd per share)</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyMarketValuePerShare_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyMarketValuePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Market Value, Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyMarketValuePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyMarketValuePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyMarketValuePerShare" xlink:to="lab_us-gaap_InvestmentCompanyMarketValuePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CashAcquiredFromMergerOperatingActivity_019e6638-c591-7ed1-a76b-5e6c404ec272_terseLabel_en-US" xlink:label="lab_obdc_CashAcquiredFromMergerOperatingActivity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash acquired in the OBDE Mergers</link:label>
    <link:label id="lab_obdc_CashAcquiredFromMergerOperatingActivity_label_en-US" xlink:label="lab_obdc_CashAcquiredFromMergerOperatingActivity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash Acquired from Merger, Operating Activity</link:label>
    <link:label id="lab_obdc_CashAcquiredFromMergerOperatingActivity_documentation_en-US" xlink:label="lab_obdc_CashAcquiredFromMergerOperatingActivity" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Cash Acquired from Merger, Operating Activity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CashAcquiredFromMergerOperatingActivity" xlink:href="obdc-20260630.xsd#obdc_CashAcquiredFromMergerOperatingActivity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CashAcquiredFromMergerOperatingActivity" xlink:to="lab_obdc_CashAcquiredFromMergerOperatingActivity" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtCommitmentToAmerginAssetCoMember_019e6638-c427-765b-b24a-532c2858dc88_terseLabel_en-US" xlink:label="lab_obdc_DebtCommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Commitment To Amergin AssetCo</link:label>
    <link:label id="lab_obdc_DebtCommitmentToAmerginAssetCoMember_label_en-US" xlink:label="lab_obdc_DebtCommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Commitment To Amergin AssetCo [Member]</link:label>
    <link:label id="lab_obdc_DebtCommitmentToAmerginAssetCoMember_documentation_en-US" xlink:label="lab_obdc_DebtCommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Commitment To Amergin AssetCo</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtCommitmentToAmerginAssetCoMember" xlink:href="obdc-20260630.xsd#obdc_DebtCommitmentToAmerginAssetCoMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtCommitmentToAmerginAssetCoMember" xlink:to="lab_obdc_DebtCommitmentToAmerginAssetCoMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock_019e6638-c427-7da1-84ff-ef8304baea7b_terseLabel_en-US" xlink:label="lab_us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt instrument, total redemption price amount</link:label>
    <link:label id="lab_us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock_label_en-US" xlink:label="lab_us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments for Repurchase of Preferred Stock and Preference Stock</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock" xlink:to="lab_us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DeferredTaxLiabilities_019e6638-c590-7afe-94eb-ab62c3133c54_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredTaxLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net deferred tax liability</link:label>
    <link:label id="lab_us-gaap_DeferredTaxLiabilities_label_en-US" xlink:label="lab_us-gaap_DeferredTaxLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Tax Liabilities, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredTaxLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredTaxLiabilities" xlink:to="lab_us-gaap_DeferredTaxLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues_019e6638-c590-74ab-a70b-118882b141d2_terseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Shares issued (in shares)</link:label>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues_label_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Issued During Period, Shares, New Issues</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockIssuedDuringPeriodSharesNewIssues"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:to="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock_019e6638-c4ec-7190-afe1-88420dbbdde0_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Sale of Stock, ATM Offerings</link:label>
    <link:label id="lab_us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Sale of Stock by Subsidiary or Equity Method Investee Disclosure [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock" xlink:to="lab_us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentOwnedBalancePrincipalAmount_019e6638-c4ec-74da-add7-9f8b435bb9a5_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedBalancePrincipalAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Par</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedBalancePrincipalAmount_label_en-US" xlink:label="lab_us-gaap_InvestmentOwnedBalancePrincipalAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Owned, Balance, Principal Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentOwnedBalancePrincipalAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentOwnedBalancePrincipalAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedBalancePrincipalAmount" xlink:to="lab_us-gaap_InvestmentOwnedBalancePrincipalAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SMBCCapitalMarketsInc.Member_019e6638-c590-7b3e-8f0e-a8c091224a6c_terseLabel_en-US" xlink:label="lab_obdc_SMBCCapitalMarketsInc.Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">SMBC Capital Markets, Inc.</link:label>
    <link:label id="lab_obdc_SMBCCapitalMarketsInc.Member_label_en-US" xlink:label="lab_obdc_SMBCCapitalMarketsInc.Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">SMBC Capital Markets, Inc. [Member]</link:label>
    <link:label id="lab_obdc_SMBCCapitalMarketsInc.Member_documentation_en-US" xlink:label="lab_obdc_SMBCCapitalMarketsInc.Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">SMBC Capital Markets, Inc.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SMBCCapitalMarketsInc.Member" xlink:href="obdc-20260630.xsd#obdc_SMBCCapitalMarketsInc.Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SMBCCapitalMarketsInc.Member" xlink:to="lab_obdc_SMBCCapitalMarketsInc.Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueByMeasurementBasisAxis_019e6638-c4ec-77e0-b3f3-d6143bed5d38_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueByMeasurementBasisAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Measurement Basis [Axis]</link:label>
    <link:label id="lab_us-gaap_FairValueByMeasurementBasisAxis_label_en-US" xlink:label="lab_us-gaap_FairValueByMeasurementBasisAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Basis [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByMeasurementBasisAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByMeasurementBasisAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueByMeasurementBasisAxis" xlink:to="lab_us-gaap_FairValueByMeasurementBasisAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BlueOwlCapitalCorporationIIMember_019e6638-c4ec-77da-b78b-adc68872e988_terseLabel_en-US" xlink:label="lab_obdc_BlueOwlCapitalCorporationIIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blue Owl Capital Corporation II</link:label>
    <link:label id="lab_obdc_BlueOwlCapitalCorporationIIMember_label_en-US" xlink:label="lab_obdc_BlueOwlCapitalCorporationIIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blue Owl Capital Corporation II [Member]</link:label>
    <link:label id="lab_obdc_BlueOwlCapitalCorporationIIMember_documentation_en-US" xlink:label="lab_obdc_BlueOwlCapitalCorporationIIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blue Owl Capital Corporation II</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BlueOwlCapitalCorporationIIMember" xlink:href="obdc-20260630.xsd#obdc_BlueOwlCapitalCorporationIIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BlueOwlCapitalCorporationIIMember" xlink:to="lab_obdc_BlueOwlCapitalCorporationIIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TaxBasisOfInvestmentsCostForIncomeTaxPurposes_019e6638-c4ec-7f5e-bf8c-9b7f1011774a_terseLabel_en-US" xlink:label="lab_us-gaap_TaxBasisOfInvestmentsCostForIncomeTaxPurposes" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cost for income tax purposes</link:label>
    <link:label id="lab_us-gaap_TaxBasisOfInvestmentsCostForIncomeTaxPurposes_label_en-US" xlink:label="lab_us-gaap_TaxBasisOfInvestmentsCostForIncomeTaxPurposes" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Tax Basis, Cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxBasisOfInvestmentsCostForIncomeTaxPurposes" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TaxBasisOfInvestmentsCostForIncomeTaxPurposes"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TaxBasisOfInvestmentsCostForIncomeTaxPurposes" xlink:to="lab_us-gaap_TaxBasisOfInvestmentsCostForIncomeTaxPurposes" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock_019e6638-c4ec-7e7f-a909-d22a24c9d0e0_terseLabel_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash and Restricted Cash</link:label>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalents, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsPolicyTextBlock" xlink:to="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXIssuerMember_019e6638-c4ec-7781-8db6-a381202c4580_terseLabel_en-US" xlink:label="lab_obdc_CLOXIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO X Issuer</link:label>
    <link:label id="lab_obdc_CLOXIssuerMember_label_en-US" xlink:label="lab_obdc_CLOXIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO X Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOXIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOXIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO X Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXIssuerMember" xlink:href="obdc-20260630.xsd#obdc_CLOXIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXIssuerMember" xlink:to="lab_obdc_CLOXIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventTypeDomain_019e6638-c590-75dc-9118-01aee96bbd45_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsequent Event Type [Domain]</link:label>
    <link:label id="lab_us-gaap_SubsequentEventTypeDomain_label_en-US" xlink:label="lab_us-gaap_SubsequentEventTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Event Type [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventTypeDomain" xlink:to="lab_us-gaap_SubsequentEventTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_RevolvingCreditFacilityAgreementMember_019e6638-c590-75e1-8b18-034ff6f55335_terseLabel_en-US" xlink:label="lab_obdc_RevolvingCreditFacilityAgreementMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility Agreement</link:label>
    <link:label id="lab_obdc_RevolvingCreditFacilityAgreementMember_label_en-US" xlink:label="lab_obdc_RevolvingCreditFacilityAgreementMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility Agreement [Member]</link:label>
    <link:label id="lab_obdc_RevolvingCreditFacilityAgreementMember_documentation_en-US" xlink:label="lab_obdc_RevolvingCreditFacilityAgreementMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility Agreement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_RevolvingCreditFacilityAgreementMember" xlink:href="obdc-20260630.xsd#obdc_RevolvingCreditFacilityAgreementMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RevolvingCreditFacilityAgreementMember" xlink:to="lab_obdc_RevolvingCreditFacilityAgreementMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockholdersEquityPolicyTextBlock_019e6638-c591-79dc-9b31-2966a42efb33_terseLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquityPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Offering Expenses and Distributions to Common Shareholders</link:label>
    <link:label id="lab_us-gaap_StockholdersEquityPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_StockholdersEquityPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stockholders' Equity, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquityPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockholdersEquityPolicyTextBlock" xlink:to="lab_us-gaap_StockholdersEquityPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_019e6638-c591-7245-b043-74e907c3b025_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash and cash equivalents</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Asset Acquired, Cash and Cash Equivalent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyAbstract_019e6638-c591-7317-bbfb-e67750e119e7_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Company [Abstract]</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyAbstract_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyAbstract" xlink:to="lab_us-gaap_InvestmentCompanyAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ErrCompRecoveryTable_terseLabel_en-US" xlink:label="lab_ecd_ErrCompRecoveryTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Erroneously Awarded Compensation Recovery</link:label>
    <link:label id="lab_ecd_ErrCompRecoveryTable_label_en-US" xlink:label="lab_ecd_ErrCompRecoveryTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Erroneously Awarded Compensation Recovery [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ErrCompRecoveryTable" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_ErrCompRecoveryTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ErrCompRecoveryTable" xlink:to="lab_ecd_ErrCompRecoveryTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_019e6638-c591-7a7d-8bfc-cb0c2532c053_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Quantitative Information About Significant Unobservable Inputs of Level 3 Investments</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Measurement Inputs and Valuation Techniques [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsOfDebtIssuanceCosts_019e6638-c4ec-7687-9ddd-16297a950a0b_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsOfDebtIssuanceCosts" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Debt issuance costs</link:label>
    <link:label id="lab_us-gaap_PaymentsOfDebtIssuanceCosts_label_en-US" xlink:label="lab_us-gaap_PaymentsOfDebtIssuanceCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments of Debt Issuance Costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDebtIssuanceCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsOfDebtIssuanceCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsOfDebtIssuanceCosts" xlink:to="lab_us-gaap_PaymentsOfDebtIssuanceCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EquityInvestmentsSectorMember_019e6638-c427-70c5-8b72-880f35fe89f5_terseLabel_en-US" xlink:label="lab_obdc_EquityInvestmentsSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Investments</link:label>
    <link:label id="lab_obdc_EquityInvestmentsSectorMember_label_en-US" xlink:label="lab_obdc_EquityInvestmentsSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Investments Sector [Member]</link:label>
    <link:label id="lab_obdc_EquityInvestmentsSectorMember_documentation_en-US" xlink:label="lab_obdc_EquityInvestmentsSectorMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Investments Sector</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EquityInvestmentsSectorMember" xlink:href="obdc-20260630.xsd#obdc_EquityInvestmentsSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EquityInvestmentsSectorMember" xlink:to="lab_obdc_EquityInvestmentsSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityCurrentReportingStatus_019e6638-c4ec-74b5-babe-1edadcbc3437_terseLabel_en-US" xlink:label="lab_dei_EntityCurrentReportingStatus" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Current Reporting Status</link:label>
    <link:label id="lab_dei_EntityCurrentReportingStatus_label_en-US" xlink:label="lab_dei_EntityCurrentReportingStatus" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Current Reporting Status</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCurrentReportingStatus" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityCurrentReportingStatus"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityCurrentReportingStatus" xlink:to="lab_dei_EntityCurrentReportingStatus" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities_019e6638-c427-7271-98be-2a395aef0308_totalLabel_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net cash provided by (used in) financing activities</link:label>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities_label_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash Provided by (Used in) Financing Activity, Including Discontinued Operation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:to="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentAffiliatedIssuerControlledMember_019e6638-c4ec-7d0e-8787-e956f484dde6_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentAffiliatedIssuerControlledMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Controlled, affiliated investments</link:label>
    <link:label id="lab_us-gaap_InvestmentAffiliatedIssuerControlledMember_label_en-US" xlink:label="lab_us-gaap_InvestmentAffiliatedIssuerControlledMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Affiliated Issuer, Controlled [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentAffiliatedIssuerControlledMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentAffiliatedIssuerControlledMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentAffiliatedIssuerControlledMember" xlink:to="lab_us-gaap_InvestmentAffiliatedIssuerControlledMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EquityCommitmentToLSIFinancingDACMember_019e6638-c4ec-7a76-8e6b-8db4903f6a37_terseLabel_en-US" xlink:label="lab_obdc_EquityCommitmentToLSIFinancingDACMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Commitment To LSI Financing DAC</link:label>
    <link:label id="lab_obdc_EquityCommitmentToLSIFinancingDACMember_label_en-US" xlink:label="lab_obdc_EquityCommitmentToLSIFinancingDACMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Commitment To LSI Financing DAC [Member]</link:label>
    <link:label id="lab_obdc_EquityCommitmentToLSIFinancingDACMember_documentation_en-US" xlink:label="lab_obdc_EquityCommitmentToLSIFinancingDACMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Commitment To LSI Financing DAC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EquityCommitmentToLSIFinancingDACMember" xlink:href="obdc-20260630.xsd#obdc_EquityCommitmentToLSIFinancingDACMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EquityCommitmentToLSIFinancingDACMember" xlink:to="lab_obdc_EquityCommitmentToLSIFinancingDACMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TotalShareholderRtnAmt_terseLabel_en-US" xlink:label="lab_ecd_TotalShareholderRtnAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Shareholder Return Amount</link:label>
    <link:label id="lab_ecd_TotalShareholderRtnAmt_label_en-US" xlink:label="lab_ecd_TotalShareholderRtnAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Total Shareholder Return Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TotalShareholderRtnAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_TotalShareholderRtnAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TotalShareholderRtnAmt" xlink:to="lab_ecd_TotalShareholderRtnAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateComponentOneLessThanProductMember_019e6638-c4eb-791e-af3a-b37e4e5d429d_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateComponentOneLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component One, Less Than Product</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentOneLessThanProductMember_label_en-US" xlink:label="lab_obdc_DebtVariableRateComponentOneLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component One Less Than Product [Member]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentOneLessThanProductMember_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateComponentOneLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component One Less Than Product</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateComponentOneLessThanProductMember" xlink:href="obdc-20260630.xsd#obdc_DebtVariableRateComponentOneLessThanProductMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateComponentOneLessThanProductMember" xlink:to="lab_obdc_DebtVariableRateComponentOneLessThanProductMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InitialThresholdPercentageMember_019e6638-c4eb-7e97-ab17-ae3652887fd8_terseLabel_en-US" xlink:label="lab_obdc_InitialThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Initial Threshold Percentage</link:label>
    <link:label id="lab_obdc_InitialThresholdPercentageMember_label_en-US" xlink:label="lab_obdc_InitialThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Initial Threshold Percentage [Member]</link:label>
    <link:label id="lab_obdc_InitialThresholdPercentageMember_documentation_en-US" xlink:label="lab_obdc_InitialThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Initial Threshold Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InitialThresholdPercentageMember" xlink:href="obdc-20260630.xsd#obdc_InitialThresholdPercentageMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InitialThresholdPercentageMember" xlink:to="lab_obdc_InitialThresholdPercentageMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyTotalReturn_019e6638-c4ec-7db5-abbe-207027e5d74e_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyTotalReturn" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total return, based on net asset value</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyTotalReturn_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyTotalReturn" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Total Return</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyTotalReturn" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyTotalReturn"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyTotalReturn" xlink:to="lab_us-gaap_InvestmentCompanyTotalReturn" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BlueOwlTechnologyIncomeCorp.Member_019e6638-c4eb-7ac6-9d61-4885ee932808_terseLabel_en-US" xlink:label="lab_obdc_BlueOwlTechnologyIncomeCorp.Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blue Owl Technology Income Corp.</link:label>
    <link:label id="lab_obdc_BlueOwlTechnologyIncomeCorp.Member_label_en-US" xlink:label="lab_obdc_BlueOwlTechnologyIncomeCorp.Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blue Owl Technology Income Corp. [Member]</link:label>
    <link:label id="lab_obdc_BlueOwlTechnologyIncomeCorp.Member_documentation_en-US" xlink:label="lab_obdc_BlueOwlTechnologyIncomeCorp.Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blue Owl Technology Income Corp.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BlueOwlTechnologyIncomeCorp.Member" xlink:href="obdc-20260630.xsd#obdc_BlueOwlTechnologyIncomeCorp.Member"/>
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    <link:label id="lab_obdc_DividendsShareDeclaredSupplemental_019e6638-c427-7149-b9d9-3aea3a134a74_terseLabel_en-US" xlink:label="lab_obdc_DividendsShareDeclaredSupplemental" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividends share supplemental (in shares)</link:label>
    <link:label id="lab_obdc_DividendsShareDeclaredSupplemental_label_en-US" xlink:label="lab_obdc_DividendsShareDeclaredSupplemental" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends, Share, Declared, Supplemental</link:label>
    <link:label id="lab_obdc_DividendsShareDeclaredSupplemental_documentation_en-US" xlink:label="lab_obdc_DividendsShareDeclaredSupplemental" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Dividends, Share, Declared, Supplemental</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DividendsShareDeclaredSupplemental" xlink:href="obdc-20260630.xsd#obdc_DividendsShareDeclaredSupplemental"/>
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    <link:label id="lab_us-gaap_ChemicalsSectorMember_019e6638-c591-7ea9-8d1e-584b763953f4_terseLabel_en-US" xlink:label="lab_us-gaap_ChemicalsSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Chemicals</link:label>
    <link:label id="lab_us-gaap_ChemicalsSectorMember_label_en-US" xlink:label="lab_us-gaap_ChemicalsSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Chemicals Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ChemicalsSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ChemicalsSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ChemicalsSectorMember" xlink:to="lab_us-gaap_ChemicalsSectorMember" xlink:type="arc" order="1"/>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract"/>
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    <link:label id="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_019e6638-c590-7921-914c-19413ea109c4_terseLabel_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash Flows from Financing Activities</link:label>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_label_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash Provided by (Used in) Financing Activity, Including Discontinued Operation [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage_019e6638-c590-7f54-8e46-f38437043d3c_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fee on unused portion of credit facility</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage_label_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Unused Capacity, Commitment Fee Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xlink:to="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate_019e6638-c427-7b1a-aa24-b25881c23738_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Secured debt ratio event, interest rate</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate_label_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant Compliance, Secured Debt Ratio Event, Interest Rate</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant Compliance, Secured Debt Ratio Event, Interest Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate" xlink:href="obdc-20260630.xsd#obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate" xlink:to="lab_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SharesIssuedPricePerShare_019e6638-c4ec-7024-9390-27a0ce00a11b_terseLabel_en-US" xlink:label="lab_us-gaap_SharesIssuedPricePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issue price (in usd per share)</link:label>
    <link:label id="lab_us-gaap_SharesIssuedPricePerShare_label_en-US" xlink:label="lab_us-gaap_SharesIssuedPricePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Shares Issued, Price Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SharesIssuedPricePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SharesIssuedPricePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SharesIssuedPricePerShare" xlink:to="lab_us-gaap_SharesIssuedPricePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryLineItems_019e6638-c427-70cb-bdd4-2a97824d90ff_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Investment Income [Line Items]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryLineItems_label_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Investment Income [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryLineItems" xlink:to="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain_019e6638-c591-7e3b-ba6d-575d8d5328f4_terseLabel_en-US" xlink:label="lab_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial Instruments [Domain]</link:label>
    <link:label id="lab_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain_label_en-US" xlink:label="lab_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Instruments [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:to="lab_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeAssets_019e6638-c591-7496-9811-1fa131ae9ddf_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative assets</link:label>
    <link:label id="lab_us-gaap_DerivativeAssets_label_en-US" xlink:label="lab_us-gaap_DerivativeAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Asset</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeAssets" xlink:to="lab_us-gaap_DerivativeAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherIncome_019e6638-c590-7730-8b79-4162172206ce_verboseLabel_en-US" xlink:label="lab_us-gaap_OtherIncome" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Other income</link:label>
    <link:label id="lab_us-gaap_OtherIncome_label_en-US" xlink:label="lab_us-gaap_OtherIncome" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherIncome" xlink:to="lab_us-gaap_OtherIncome" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardUndrlygSecuritiesAmt_terseLabel_en-US" xlink:label="lab_ecd_AwardUndrlygSecuritiesAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Underlying Securities</link:label>
    <link:label id="lab_ecd_AwardUndrlygSecuritiesAmt_label_en-US" xlink:label="lab_ecd_AwardUndrlygSecuritiesAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Underlying Securities Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardUndrlygSecuritiesAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AwardUndrlygSecuritiesAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardUndrlygSecuritiesAmt" xlink:to="lab_ecd_AwardUndrlygSecuritiesAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EstimateOfFairValueFairValueDisclosureMember_019e6638-c4ec-79e1-b775-bf9f92398d14_terseLabel_en-US" xlink:label="lab_us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value</link:label>
    <link:label id="lab_us-gaap_EstimateOfFairValueFairValueDisclosureMember_label_en-US" xlink:label="lab_us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Estimate of Fair Value Measurement [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EstimateOfFairValueFairValueDisclosureMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:to="lab_us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues_019e6638-c4ec-7e98-b84c-7312ca29034c_verboseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Issuance of common shares</link:label>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues_019e6638-c4ec-7b28-83ea-133bfc5cb379_terseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Value of shares issued</link:label>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues_label_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Issued During Period, Value, New Issues</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodValueNewIssues" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockIssuedDuringPeriodValueNewIssues"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodValueNewIssues" xlink:to="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractCADMember_019e6638-c590-7986-9030-21794d6c10fe_terseLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractCADMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency forward contract CAD</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractCADMember_label_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractCADMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract CAD [Member]</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractCADMember_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractCADMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract CAD</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyForwardContractCADMember" xlink:href="obdc-20260630.xsd#obdc_ForeignCurrencyForwardContractCADMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyForwardContractCADMember" xlink:to="lab_obdc_ForeignCurrencyForwardContractCADMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock_019e6638-c591-7c46-9458-bc4fe97f8584_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Financial Highlights for a Common Share Outstanding</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Financial Highlights [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock" xlink:to="lab_us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SecondLienInvestmentsMember_019e6638-c4ec-7715-8af8-51dac919e4bb_terseLabel_en-US" xlink:label="lab_obdc_SecondLienInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Second-Lien Investments</link:label>
    <link:label id="lab_obdc_SecondLienInvestmentsMember_label_en-US" xlink:label="lab_obdc_SecondLienInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Second-Lien Investments [Member]</link:label>
    <link:label id="lab_obdc_SecondLienInvestmentsMember_documentation_en-US" xlink:label="lab_obdc_SecondLienInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Second-Lien Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SecondLienInvestmentsMember" xlink:href="obdc-20260630.xsd#obdc_SecondLienInvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SecondLienInvestmentsMember" xlink:to="lab_obdc_SecondLienInvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PreferredStockMember_019e6638-c4ec-7854-9170-27b19d0beb2a_verboseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Preferred equity investments</link:label>
    <link:label id="lab_us-gaap_PreferredStockMember_019e6638-c4ec-7b16-9968-2c8ac25d69c8_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Preferred</link:label>
    <link:label id="lab_us-gaap_PreferredStockMember_label_en-US" xlink:label="lab_us-gaap_PreferredStockMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Preferred Stock [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PreferredStockMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockMember" xlink:to="lab_us-gaap_PreferredStockMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome_019e6638-c591-773a-8440-0fc7ac9c1a22_terseLabel_en-US" xlink:label="lab_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">PIK Dividend Income as a % of Investment Income</link:label>
    <link:label id="lab_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome_label_en-US" xlink:label="lab_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividend Income Operating Paid In Cash, Percentage of Investment Income</link:label>
    <link:label id="lab_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome_documentation_en-US" xlink:label="lab_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Dividend Income Operating Paid In Cash, Percentage of Investment Income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome" xlink:href="obdc-20260630.xsd#obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome" xlink:to="lab_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease_019e6638-c4eb-7379-a920-35d6ac64efa0_terseLabel_en-US" xlink:label="lab_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net increase (decrease) in restricted cash</link:label>
    <link:label id="lab_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease_label_en-US" xlink:label="lab_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restricted Cash And Cash Equivalents, Period Increase (Decrease)</link:label>
    <link:label id="lab_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease_documentation_en-US" xlink:label="lab_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Restricted Cash And Cash Equivalents, Period Increase (Decrease)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease" xlink:href="obdc-20260630.xsd#obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease" xlink:to="lab_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIClassANotesMember_019e6638-c4ec-76ce-8252-397089bb4995_terseLabel_en-US" xlink:label="lab_obdc_CLOIClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I, Class A Notes</link:label>
    <link:label id="lab_obdc_CLOIClassANotesMember_label_en-US" xlink:label="lab_obdc_CLOIClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class A Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassANotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class A Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIClassANotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIClassANotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIClassANotesMember" xlink:to="lab_obdc_CLOIClassANotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_019e6638-c4ec-7fbf-9b5a-945c06e7fdfd_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Related Party Transactions, by Related Party [Table]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_label_en-US" xlink:label="lab_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" xlink:to="lab_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIssuerMember_019e6638-c4eb-79ec-bc6f-3ecae74f2731_terseLabel_en-US" xlink:label="lab_obdc_CLOVIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V Issuer</link:label>
    <link:label id="lab_obdc_CLOVIssuerMember_label_en-US" xlink:label="lab_obdc_CLOVIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOVIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOVIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIssuerMember" xlink:href="obdc-20260630.xsd#obdc_CLOVIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIssuerMember" xlink:to="lab_obdc_CLOVIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_label_en-US" xlink:label="lab_us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitments and Contingencies Disclosure [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:to="lab_us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AllTradingArrangementsMember_terseLabel_en-US" xlink:label="lab_ecd_AllTradingArrangementsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">All Trading Arrangements</link:label>
    <link:label id="lab_ecd_AllTradingArrangementsMember_label_en-US" xlink:label="lab_ecd_AllTradingArrangementsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">All Trading Arrangements [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AllTradingArrangementsMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AllTradingArrangementsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AllTradingArrangementsMember" xlink:to="lab_ecd_AllTradingArrangementsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_OtherPerfMeasureAmt_terseLabel_en-US" xlink:label="lab_ecd_OtherPerfMeasureAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other Performance Measure, Amount</link:label>
    <link:label id="lab_ecd_OtherPerfMeasureAmt_label_en-US" xlink:label="lab_ecd_OtherPerfMeasureAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Performance Measure, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_OtherPerfMeasureAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_OtherPerfMeasureAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_OtherPerfMeasureAmt" xlink:to="lab_ecd_OtherPerfMeasureAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardTmgMnpiCnsdrdFlag_terseLabel_en-US" xlink:label="lab_ecd_AwardTmgMnpiCnsdrdFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Award Timing MNPI Considered</link:label>
    <link:label id="lab_ecd_AwardTmgMnpiCnsdrdFlag_label_en-US" xlink:label="lab_ecd_AwardTmgMnpiCnsdrdFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Timing MNPI Considered [Flag]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardTmgMnpiCnsdrdFlag" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AwardTmgMnpiCnsdrdFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardTmgMnpiCnsdrdFlag" xlink:to="lab_ecd_AwardTmgMnpiCnsdrdFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_PharmaceuticalsMember_019e6638-c4ec-7411-b9c4-39f3859056ed_terseLabel_en-US" xlink:label="lab_obdc_PharmaceuticalsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pharmaceuticals</link:label>
    <link:label id="lab_obdc_PharmaceuticalsMember_019e6638-c4ec-7f22-8a8a-c2ccdf1b02be_verboseLabel_en-US" xlink:label="lab_obdc_PharmaceuticalsMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Pharmaceuticals</link:label>
    <link:label id="lab_obdc_PharmaceuticalsMember_label_en-US" xlink:label="lab_obdc_PharmaceuticalsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pharmaceuticals [Member]</link:label>
    <link:label id="lab_obdc_PharmaceuticalsMember_documentation_en-US" xlink:label="lab_obdc_PharmaceuticalsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Pharmaceuticals</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_PharmaceuticalsMember" xlink:href="obdc-20260630.xsd#obdc_PharmaceuticalsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_PharmaceuticalsMember" xlink:to="lab_obdc_PharmaceuticalsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_CurrentFiscalYearEndDate_019e6638-c590-72e9-8c4b-ce2bd352b17a_terseLabel_en-US" xlink:label="lab_dei_CurrentFiscalYearEndDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Current Fiscal Year End Date</link:label>
    <link:label id="lab_dei_CurrentFiscalYearEndDate_label_en-US" xlink:label="lab_dei_CurrentFiscalYearEndDate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Current Fiscal Year End Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CurrentFiscalYearEndDate" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CurrentFiscalYearEndDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_CurrentFiscalYearEndDate" xlink:to="lab_dei_CurrentFiscalYearEndDate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentOwnedBalanceShares_019e6638-c590-79c4-bbee-ee7af327fde3_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedBalanceShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Units (in shares)</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedBalanceShares_label_en-US" xlink:label="lab_us-gaap_InvestmentOwnedBalanceShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Owned, Balance, Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentOwnedBalanceShares" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentOwnedBalanceShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedBalanceShares" xlink:to="lab_us-gaap_InvestmentOwnedBalanceShares" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SPVAssetFacilityIIMember_019e6638-c4ec-70f8-8083-0770527275f6_terseLabel_en-US" xlink:label="lab_obdc_SPVAssetFacilityIIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">SPV Asset Facility II</link:label>
    <link:label id="lab_obdc_SPVAssetFacilityIIMember_label_en-US" xlink:label="lab_obdc_SPVAssetFacilityIIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">SPV Asset Facility II [Member]</link:label>
    <link:label id="lab_obdc_SPVAssetFacilityIIMember_documentation_en-US" xlink:label="lab_obdc_SPVAssetFacilityIIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">SPV Asset Facility II</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SPVAssetFacilityIIMember" xlink:href="obdc-20260630.xsd#obdc_SPVAssetFacilityIIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SPVAssetFacilityIIMember" xlink:to="lab_obdc_SPVAssetFacilityIIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentCompanyUnfundedCommittedCapital_019e6638-c427-73b1-9a35-e45fb6deb41d_terseLabel_en-US" xlink:label="lab_obdc_InvestmentCompanyUnfundedCommittedCapital" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unfunded committed capital</link:label>
    <link:label id="lab_obdc_InvestmentCompanyUnfundedCommittedCapital_label_en-US" xlink:label="lab_obdc_InvestmentCompanyUnfundedCommittedCapital" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Unfunded Committed Capital</link:label>
    <link:label id="lab_obdc_InvestmentCompanyUnfundedCommittedCapital_documentation_en-US" xlink:label="lab_obdc_InvestmentCompanyUnfundedCommittedCapital" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Unfunded Committed Capital</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentCompanyUnfundedCommittedCapital" xlink:href="obdc-20260630.xsd#obdc_InvestmentCompanyUnfundedCommittedCapital"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentCompanyUnfundedCommittedCapital" xlink:to="lab_obdc_InvestmentCompanyUnfundedCommittedCapital" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_NonPeoNeoAvgTotalCompAmt_terseLabel_en-US" xlink:label="lab_ecd_NonPeoNeoAvgTotalCompAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-PEO NEO Average Total Compensation Amount</link:label>
    <link:label id="lab_ecd_NonPeoNeoAvgTotalCompAmt_label_en-US" xlink:label="lab_ecd_NonPeoNeoAvgTotalCompAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-PEO NEO Average Total Compensation Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_NonPeoNeoAvgTotalCompAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_NonPeoNeoAvgTotalCompAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_NonPeoNeoAvgTotalCompAmt" xlink:to="lab_ecd_NonPeoNeoAvgTotalCompAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeLineItems_019e6638-c4ec-71f4-a151-d6b47af84fde_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative [Line Items]</link:label>
    <link:label id="lab_us-gaap_DerivativeLineItems_label_en-US" xlink:label="lab_us-gaap_DerivativeLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeLineItems" xlink:to="lab_us-gaap_DerivativeLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractCAD2Member_019e6638-c4ec-78c4-a19f-429d65c7e7de_terseLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractCAD2Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency forward contract CAD</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractCAD2Member_label_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractCAD2Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract CAD 2 [Member]</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractCAD2Member_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractCAD2Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract CAD 2</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyForwardContractCAD2Member" xlink:href="obdc-20260630.xsd#obdc_ForeignCurrencyForwardContractCAD2Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyForwardContractCAD2Member" xlink:to="lab_obdc_ForeignCurrencyForwardContractCAD2Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FinancialServicesSectorMember_019e6638-c4ec-7c88-b0b7-4ccba9ec3216_terseLabel_en-US" xlink:label="lab_us-gaap_FinancialServicesSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial services</link:label>
    <link:label id="lab_us-gaap_FinancialServicesSectorMember_label_en-US" xlink:label="lab_us-gaap_FinancialServicesSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Services Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancialServicesSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialServicesSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FinancialServicesSectorMember" xlink:to="lab_us-gaap_FinancialServicesSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockRepurchasedDuringPeriodShares_019e6638-c590-7760-8027-a91c399c9077_terseLabel_en-US" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Stock repurchased during period (in shares)</link:label>
    <link:label id="lab_us-gaap_StockRepurchasedDuringPeriodShares_019e6638-c590-7d0a-b955-14ecf8f9f8d7_verboseLabel_en-US" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodShares" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Total Number of Shares Repurchased (in shares)</link:label>
    <link:label id="lab_us-gaap_StockRepurchasedDuringPeriodShares_label_en-US" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Repurchased During Period, Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockRepurchasedDuringPeriodShares" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockRepurchasedDuringPeriodShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRepurchasedDuringPeriodShares" xlink:to="lab_us-gaap_StockRepurchasedDuringPeriodShares" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ChngInFrValAsOfVstngDtOfPrrYrEqtyAwrdsVstdInCvrdYrMember_terseLabel_en-US" xlink:label="lab_ecd_ChngInFrValAsOfVstngDtOfPrrYrEqtyAwrdsVstdInCvrdYrMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Change in Fair Value as of Vesting Date of Prior Year Equity Awards Vested in Covered Year</link:label>
    <link:label id="lab_ecd_ChngInFrValAsOfVstngDtOfPrrYrEqtyAwrdsVstdInCvrdYrMember_label_en-US" xlink:label="lab_ecd_ChngInFrValAsOfVstngDtOfPrrYrEqtyAwrdsVstdInCvrdYrMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Change in Fair Value as of Vesting Date of Prior Year Equity Awards Vested in Covered Year [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ChngInFrValAsOfVstngDtOfPrrYrEqtyAwrdsVstdInCvrdYrMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_ChngInFrValAsOfVstngDtOfPrrYrEqtyAwrdsVstdInCvrdYrMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ChngInFrValAsOfVstngDtOfPrrYrEqtyAwrdsVstdInCvrdYrMember" xlink:to="lab_ecd_ChngInFrValAsOfVstngDtOfPrrYrEqtyAwrdsVstdInCvrdYrMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockDividendsPerShareDeclared_019e6638-c590-783f-8af2-51143882d7c1_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockDividendsPerShareDeclared" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common stock, dividends declared per share (in usd per share)</link:label>
    <link:label id="lab_us-gaap_CommonStockDividendsPerShareDeclared_label_en-US" xlink:label="lab_us-gaap_CommonStockDividendsPerShareDeclared" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock, Dividends, Per Share, Declared</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockDividendsPerShareDeclared" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockDividendsPerShareDeclared"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockDividendsPerShareDeclared" xlink:to="lab_us-gaap_CommonStockDividendsPerShareDeclared" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityFileNumber_019e6638-c4ec-749b-b8fa-cbeee26cc7a9_terseLabel_en-US" xlink:label="lab_dei_EntityFileNumber" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity File Number</link:label>
    <link:label id="lab_dei_EntityFileNumber_label_en-US" xlink:label="lab_dei_EntityFileNumber" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Securities Act File Number</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityFileNumber"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityFileNumber" xlink:to="lab_dei_EntityFileNumber" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_LondonInterbankOfferedRateLIBOR1Member_019e6638-c590-7e99-8cb8-5d665828c765_terseLabel_en-US" xlink:label="lab_obdc_LondonInterbankOfferedRateLIBOR1Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">LIBOR</link:label>
    <link:label id="lab_obdc_LondonInterbankOfferedRateLIBOR1Member_label_en-US" xlink:label="lab_obdc_LondonInterbankOfferedRateLIBOR1Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">London Interbank Offered Rate (LIBOR) 1 [Member]</link:label>
    <link:label id="lab_obdc_LondonInterbankOfferedRateLIBOR1Member_documentation_en-US" xlink:label="lab_obdc_LondonInterbankOfferedRateLIBOR1Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">London Interbank Offered Rate (LIBOR) 1</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_LondonInterbankOfferedRateLIBOR1Member" xlink:href="obdc-20260630.xsd#obdc_LondonInterbankOfferedRateLIBOR1Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_LondonInterbankOfferedRateLIBOR1Member" xlink:to="lab_obdc_LondonInterbankOfferedRateLIBOR1Member" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EducationMember_019e6638-c590-7c4e-b2ba-5b7736077517_terseLabel_en-US" xlink:label="lab_obdc_EducationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Education</link:label>
    <link:label id="lab_obdc_EducationMember_label_en-US" xlink:label="lab_obdc_EducationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Education [Member]</link:label>
    <link:label id="lab_obdc_EducationMember_documentation_en-US" xlink:label="lab_obdc_EducationMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Education</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EducationMember" xlink:href="obdc-20260630.xsd#obdc_EducationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EducationMember" xlink:to="lab_obdc_EducationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_RecoveryOfErrCompDisclosureLineItems_label_en-US" xlink:label="lab_ecd_RecoveryOfErrCompDisclosureLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Recovery of Erroneously Awarded Compensation Disclosure [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_RecoveryOfErrCompDisclosureLineItems" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_RecoveryOfErrCompDisclosureLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_RecoveryOfErrCompDisclosureLineItems" xlink:to="lab_ecd_RecoveryOfErrCompDisclosureLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_MeasureAxis_terseLabel_en-US" xlink:label="lab_ecd_MeasureAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Measure:</link:label>
    <link:label id="lab_ecd_MeasureAxis_label_en-US" xlink:label="lab_ecd_MeasureAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measure [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_MeasureAxis" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_MeasureAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_MeasureAxis" xlink:to="lab_ecd_MeasureAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate_019e6638-c4eb-71ba-8669-00d941744ebb_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Below investment grade event, interest rate</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate_label_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant Compliance, Below Investment Grade Event, Interest Rate</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant Compliance, Below Investment Grade Event, Interest Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate" xlink:href="obdc-20260630.xsd#obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate" xlink:to="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetIncomeLossAttributableToReportingEntityAbstract_019e6638-c590-725c-a13e-6b60a591870f_terseLabel_en-US" xlink:label="lab_us-gaap_NetIncomeLossAttributableToReportingEntityAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Net Assets Resulting from Operations</link:label>
    <link:label id="lab_us-gaap_NetIncomeLossAttributableToReportingEntityAbstract_label_en-US" xlink:label="lab_us-gaap_NetIncomeLossAttributableToReportingEntityAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Income (Loss), Including Portion Attributable to Noncontrolling Interest [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAttributableToReportingEntityAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLossAttributableToReportingEntityAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetIncomeLossAttributableToReportingEntityAbstract" xlink:to="lab_us-gaap_NetIncomeLossAttributableToReportingEntityAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment_019e6638-c4ec-741b-919b-e73ccb2dcbc3_terseLabel_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Average investment</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment_label_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Average Investment</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment_documentation_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Average Investment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment" xlink:href="obdc-20260630.xsd#obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment" xlink:to="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StatementEquityComponentsAxis_019e6638-c4ec-7444-9a72-cc8728aa9a0e_terseLabel_en-US" xlink:label="lab_us-gaap_StatementEquityComponentsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Components [Axis]</link:label>
    <link:label id="lab_us-gaap_StatementEquityComponentsAxis_label_en-US" xlink:label="lab_us-gaap_StatementEquityComponentsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Components [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementEquityComponentsAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementEquityComponentsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementEquityComponentsAxis" xlink:to="lab_us-gaap_StatementEquityComponentsAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentRepurchaseAmount_019e6638-c4ec-78ff-8254-1b725171e360_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentRepurchaseAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Redeemed principal amount</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentRepurchaseAmount_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentRepurchaseAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Repurchase Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentRepurchaseAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentRepurchaseAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentRepurchaseAmount" xlink:to="lab_us-gaap_DebtInstrumentRepurchaseAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityInteractiveDataCurrent_019e6638-c590-7ced-97cb-d083d7cfc50f_terseLabel_en-US" xlink:label="lab_dei_EntityInteractiveDataCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Interactive Data Current</link:label>
    <link:label id="lab_dei_EntityInteractiveDataCurrent_label_en-US" xlink:label="lab_dei_EntityInteractiveDataCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Interactive Data Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityInteractiveDataCurrent" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityInteractiveDataCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityInteractiveDataCurrent" xlink:to="lab_dei_EntityInteractiveDataCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_VariableRateAxis_019e6638-c4ec-75ca-8583-ac2654dee5fa_terseLabel_en-US" xlink:label="lab_us-gaap_VariableRateAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Variable Rate [Axis]</link:label>
    <link:label id="lab_us-gaap_VariableRateAxis_label_en-US" xlink:label="lab_us-gaap_VariableRateAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Variable Rate [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableRateAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_VariableRateAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_VariableRateAxis" xlink:to="lab_us-gaap_VariableRateAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntitySmallBusiness_019e6638-c4ec-711d-bb41-224cb56e6e1c_terseLabel_en-US" xlink:label="lab_dei_EntitySmallBusiness" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Small Business</link:label>
    <link:label id="lab_dei_EntitySmallBusiness_label_en-US" xlink:label="lab_dei_EntitySmallBusiness" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Small Business</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntitySmallBusiness" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntitySmallBusiness"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntitySmallBusiness" xlink:to="lab_dei_EntitySmallBusiness" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DistributionPayable_019e6638-c4ec-78ab-ab80-56b06bf6549b_verboseLabel_en-US" xlink:label="lab_us-gaap_DistributionPayable" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Distribution payable</link:label>
    <link:label id="lab_us-gaap_DistributionPayable_label_en-US" xlink:label="lab_us-gaap_DistributionPayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distribution Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DistributionPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DistributionPayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionPayable" xlink:to="lab_us-gaap_DistributionPayable" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_MnpiDiscTimedForCompValFlag_terseLabel_en-US" xlink:label="lab_ecd_MnpiDiscTimedForCompValFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">MNPI Disclosure Timed for Compensation Value</link:label>
    <link:label id="lab_ecd_MnpiDiscTimedForCompValFlag_label_en-US" xlink:label="lab_ecd_MnpiDiscTimedForCompValFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">MNPI Disclosure Timed for Compensation Value [Flag]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_MnpiDiscTimedForCompValFlag" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_MnpiDiscTimedForCompValFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_MnpiDiscTimedForCompValFlag" xlink:to="lab_ecd_MnpiDiscTimedForCompValFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_July2025NotesMember_019e6638-c4ec-727a-b4fe-e853171b6a83_verboseLabel_en-US" xlink:label="lab_obdc_July2025NotesMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">July 2025 Notes</link:label>
    <link:label id="lab_obdc_July2025NotesMember_label_en-US" xlink:label="lab_obdc_July2025NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">July 2025 Notes [Member]</link:label>
    <link:label id="lab_obdc_July2025NotesMember_documentation_en-US" xlink:label="lab_obdc_July2025NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">July 2025 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_July2025NotesMember" xlink:href="obdc-20260630.xsd#obdc_July2025NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_July2025NotesMember" xlink:to="lab_obdc_July2025NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity_019e6638-c590-7c3c-a0a2-b9456683b31c_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from investments and investment repayments, net</link:label>
    <link:label id="lab_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity_label_en-US" xlink:label="lab_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from Disposition of Investment, Operating Activity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xlink:to="lab_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentType_019e6638-c4ec-7a7e-aba3-ae3f78374be4_terseLabel_en-US" xlink:label="lab_dei_DocumentType" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Type</link:label>
    <link:label id="lab_dei_DocumentType_label_en-US" xlink:label="lab_dei_DocumentType" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Document Type</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentType"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentType" xlink:to="lab_dei_DocumentType" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DistributionsDeclared_019e6638-c4ec-7e06-a636-858fa2e72df5_terseLabel_en-US" xlink:label="lab_obdc_DistributionsDeclared" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distributions declared during the period</link:label>
    <link:label id="lab_obdc_DistributionsDeclared_label_en-US" xlink:label="lab_obdc_DistributionsDeclared" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distributions Declared</link:label>
    <link:label id="lab_obdc_DistributionsDeclared_documentation_en-US" xlink:label="lab_obdc_DistributionsDeclared" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Distributions Declared</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DistributionsDeclared" xlink:href="obdc-20260630.xsd#obdc_DistributionsDeclared"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DistributionsDeclared" xlink:to="lab_obdc_DistributionsDeclared" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e6638-c591-75ab-aa7b-edf9b1dfcf01_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetAssetValuePerShare_019e6638-c4ec-705d-aee9-82923ec1fffe_terseLabel_en-US" xlink:label="lab_us-gaap_NetAssetValuePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Asset Value Per Share (in usd per share)</link:label>
    <link:label id="lab_us-gaap_NetAssetValuePerShare_019e6638-c4ec-74db-84d2-c7c3544f2c59_periodStartLabel_en-US" xlink:label="lab_us-gaap_NetAssetValuePerShare" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Net asset value, beginning of period (in usd per share)</link:label>
    <link:label id="lab_us-gaap_NetAssetValuePerShare_019e6638-c4ec-7416-8c17-56ecde1164b5_periodEndLabel_en-US" xlink:label="lab_us-gaap_NetAssetValuePerShare" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Net asset value, end of period (in usd per share)</link:label>
    <link:label id="lab_us-gaap_NetAssetValuePerShare_label_en-US" xlink:label="lab_us-gaap_NetAssetValuePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Asset Value Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetAssetValuePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetAssetValuePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetAssetValuePerShare" xlink:to="lab_us-gaap_NetAssetValuePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SignificantAccountingPoliciesTextBlock_019e6638-c4ec-7167-a7e7-6c79162af0e4_terseLabel_en-US" xlink:label="lab_us-gaap_SignificantAccountingPoliciesTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Significant Accounting Policies</link:label>
    <link:label id="lab_us-gaap_SignificantAccountingPoliciesTextBlock_label_en-US" xlink:label="lab_us-gaap_SignificantAccountingPoliciesTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Significant Accounting Policies [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SignificantAccountingPoliciesTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SignificantAccountingPoliciesTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SignificantAccountingPoliciesTextBlock" xlink:to="lab_us-gaap_SignificantAccountingPoliciesTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentInterestRatePaidInKind_019e6638-c590-72bb-a130-584087233a7f_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentInterestRatePaidInKind" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">PIK</link:label>
    <link:label id="lab_us-gaap_InvestmentInterestRatePaidInKind_label_en-US" xlink:label="lab_us-gaap_InvestmentInterestRatePaidInKind" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Interest Rate, Paid in Kind</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentInterestRatePaidInKind" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentInterestRatePaidInKind"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentInterestRatePaidInKind" xlink:to="lab_us-gaap_InvestmentInterestRatePaidInKind" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OpenSwapContractIdentifierAxis_019e6638-c427-71c2-9177-2b9c9153a719_terseLabel_en-US" xlink:label="lab_us-gaap_OpenSwapContractIdentifierAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Open Swap Contract, Identifier [Axis]</link:label>
    <link:label id="lab_us-gaap_OpenSwapContractIdentifierAxis_label_en-US" xlink:label="lab_us-gaap_OpenSwapContractIdentifierAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Open Swap Contract, Identifier [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OpenSwapContractIdentifierAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OpenSwapContractIdentifierAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OpenSwapContractIdentifierAxis" xlink:to="lab_us-gaap_OpenSwapContractIdentifierAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventLineItems_019e6638-c427-7663-bb56-973ea78a5ecb_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsequent Event [Line Items]</link:label>
    <link:label id="lab_us-gaap_SubsequentEventLineItems_label_en-US" xlink:label="lab_us-gaap_SubsequentEventLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Event [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventLineItems" xlink:to="lab_us-gaap_SubsequentEventLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_RepurchaseProgram2025Member_019e6638-c590-7c5f-aaab-e361ba2a3045_terseLabel_en-US" xlink:label="lab_obdc_RepurchaseProgram2025Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repurchase Program 2025</link:label>
    <link:label id="lab_obdc_RepurchaseProgram2025Member_label_en-US" xlink:label="lab_obdc_RepurchaseProgram2025Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repurchase Program 2025 [Member]</link:label>
    <link:label id="lab_obdc_RepurchaseProgram2025Member_documentation_en-US" xlink:label="lab_obdc_RepurchaseProgram2025Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Repurchase Program 2025</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_RepurchaseProgram2025Member" xlink:href="obdc-20260630.xsd#obdc_RepurchaseProgram2025Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RepurchaseProgram2025Member" xlink:to="lab_obdc_RepurchaseProgram2025Member" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_LocalPhoneNumber_019e6638-c590-7e08-a579-e060f46afcd8_terseLabel_en-US" xlink:label="lab_dei_LocalPhoneNumber" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Local Phone Number</link:label>
    <link:label id="lab_dei_LocalPhoneNumber_label_en-US" xlink:label="lab_dei_LocalPhoneNumber" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Local Phone Number</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_LocalPhoneNumber"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_LocalPhoneNumber" xlink:to="lab_dei_LocalPhoneNumber" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommitmentsAndContingencies_019e6638-c4ec-77d5-9431-3ffd860db49c_terseLabel_en-US" xlink:label="lab_us-gaap_CommitmentsAndContingencies" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitments and contingencies (Note 8)</link:label>
    <link:label id="lab_us-gaap_CommitmentsAndContingencies_label_en-US" xlink:label="lab_us-gaap_CommitmentsAndContingencies" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitments and Contingencies</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingencies" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommitmentsAndContingencies"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommitmentsAndContingencies" xlink:to="lab_us-gaap_CommitmentsAndContingencies" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ContainerAndPackagingSectorMember_019e6638-c590-7f35-a3f8-97f89a3eb65e_terseLabel_en-US" xlink:label="lab_us-gaap_ContainerAndPackagingSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Containers and packaging</link:label>
    <link:label id="lab_us-gaap_ContainerAndPackagingSectorMember_label_en-US" xlink:label="lab_us-gaap_ContainerAndPackagingSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Container and Packaging Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContainerAndPackagingSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ContainerAndPackagingSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ContainerAndPackagingSectorMember" xlink:to="lab_us-gaap_ContainerAndPackagingSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ChangedPeerGroupFnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_ChangedPeerGroupFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Changed Peer Group, Footnote</link:label>
    <link:label id="lab_ecd_ChangedPeerGroupFnTextBlock_label_en-US" xlink:label="lab_ecd_ChangedPeerGroupFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Changed Peer Group, Footnote [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ChangedPeerGroupFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_ChangedPeerGroupFnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ChangedPeerGroupFnTextBlock" xlink:to="lab_ecd_ChangedPeerGroupFnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIIssuerMember_019e6638-c4ec-7313-a64e-3a59bbd9636b_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO III Issuer</link:label>
    <link:label id="lab_obdc_CLOIIIIssuerMember_label_en-US" xlink:label="lab_obdc_CLOIIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO III Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO III Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIIssuerMember" xlink:href="obdc-20260630.xsd#obdc_CLOIIIIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIIssuerMember" xlink:to="lab_obdc_CLOIIIIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyDividendDistribution_019e6638-c590-7139-b766-16f7695d801f_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyDividendDistribution" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Distributions declared from earnings</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyDividendDistribution_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyDividendDistribution" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Dividend Distribution</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyDividendDistribution" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyDividendDistribution"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyDividendDistribution" xlink:to="lab_us-gaap_InvestmentCompanyDividendDistribution" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ExecutiveCategoryAxis_terseLabel_en-US" xlink:label="lab_ecd_ExecutiveCategoryAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Executive Category:</link:label>
    <link:label id="lab_ecd_ExecutiveCategoryAxis_label_en-US" xlink:label="lab_ecd_ExecutiveCategoryAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Executive Category [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ExecutiveCategoryAxis" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_ExecutiveCategoryAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ExecutiveCategoryAxis" xlink:to="lab_ecd_ExecutiveCategoryAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassA2NotesMember_019e6638-c4ec-7f8c-9482-7c2e16d213f4_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-2 Notes</link:label>
    <link:label id="lab_obdc_CLOVIIClassA2NotesMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-2 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassA2NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-2 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassA2NotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOVIIClassA2NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassA2NotesMember" xlink:to="lab_obdc_CLOVIIClassA2NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_CounterpartyNameAxis_019e6638-c4ec-7116-9f8b-79407eb55a7c_terseLabel_en-US" xlink:label="lab_srt_CounterpartyNameAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Counterparty Name [Axis]</link:label>
    <link:label id="lab_srt_CounterpartyNameAxis_label_en-US" xlink:label="lab_srt_CounterpartyNameAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Counterparty Name [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_CounterpartyNameAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_CounterpartyNameAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_CounterpartyNameAxis" xlink:to="lab_srt_CounterpartyNameAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_NonPeoNeoAvgCompActuallyPaidAmt_terseLabel_en-US" xlink:label="lab_ecd_NonPeoNeoAvgCompActuallyPaidAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-PEO NEO Average Compensation Actually Paid Amount</link:label>
    <link:label id="lab_ecd_NonPeoNeoAvgCompActuallyPaidAmt_label_en-US" xlink:label="lab_ecd_NonPeoNeoAvgCompActuallyPaidAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-PEO NEO Average Compensation Actually Paid Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_NonPeoNeoAvgCompActuallyPaidAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_NonPeoNeoAvgCompActuallyPaidAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_NonPeoNeoAvgCompActuallyPaidAmt" xlink:to="lab_ecd_NonPeoNeoAvgCompActuallyPaidAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_O2025Q2DividendsMember_019e6638-c590-7ffb-b861-cfefd2527bbe_terseLabel_en-US" xlink:label="lab_obdc_O2025Q2DividendsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">O 2025 Q2 Dividends</link:label>
    <link:label id="lab_obdc_O2025Q2DividendsMember_label_en-US" xlink:label="lab_obdc_O2025Q2DividendsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">O 2025 Q2 Dividends [Member]</link:label>
    <link:label id="lab_obdc_O2025Q2DividendsMember_documentation_en-US" xlink:label="lab_obdc_O2025Q2DividendsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">O 2025 Q2 Dividends</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_O2025Q2DividendsMember" xlink:href="obdc-20260630.xsd#obdc_O2025Q2DividendsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_O2025Q2DividendsMember" xlink:to="lab_obdc_O2025Q2DividendsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIClassBRNotesMember_019e6638-c590-73a2-ab37-53e9b5331afa_terseLabel_en-US" xlink:label="lab_obdc_CLOIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I, Class B-R Notes</link:label>
    <link:label id="lab_obdc_CLOIClassBRNotesMember_label_en-US" xlink:label="lab_obdc_CLOIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class B-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassBRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class B-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIClassBRNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIClassBRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIClassBRNotesMember" xlink:to="lab_obdc_CLOIClassBRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SupplementalCashFlowInformationAbstract_019e6638-c428-7dbf-8d2c-493e8a0e6fe5_terseLabel_en-US" xlink:label="lab_us-gaap_SupplementalCashFlowInformationAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Supplemental and Non-Cash Information</link:label>
    <link:label id="lab_us-gaap_SupplementalCashFlowInformationAbstract_label_en-US" xlink:label="lab_us-gaap_SupplementalCashFlowInformationAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Supplemental Cash Flow Information [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SupplementalCashFlowInformationAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SupplementalCashFlowInformationAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SupplementalCashFlowInformationAbstract" xlink:to="lab_us-gaap_SupplementalCashFlowInformationAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SeptemberTwoThousandTwentyEightNotesMember_019f83a0-3849-7750-a731-f862f4c71604_terseLabel_en-US" xlink:label="lab_obdc_SeptemberTwoThousandTwentyEightNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">September 2028 Notes</link:label>
    <link:label id="lab_obdc_SeptemberTwoThousandTwentyEightNotesMember_label_en-US" xlink:label="lab_obdc_SeptemberTwoThousandTwentyEightNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">September Two Thousand Twenty Eight Notes [Member]</link:label>
    <link:label id="lab_obdc_SeptemberTwoThousandTwentyEightNotesMember_documentation_en-US" xlink:label="lab_obdc_SeptemberTwoThousandTwentyEightNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">September Two Thousand Twenty Eight Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SeptemberTwoThousandTwentyEightNotesMember" xlink:href="obdc-20260630.xsd#obdc_SeptemberTwoThousandTwentyEightNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SeptemberTwoThousandTwentyEightNotesMember" xlink:to="lab_obdc_SeptemberTwoThousandTwentyEightNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PeoName_terseLabel_en-US" xlink:label="lab_ecd_PeoName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">PEO Name</link:label>
    <link:label id="lab_ecd_PeoName_label_en-US" xlink:label="lab_ecd_PeoName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">PEO Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PeoName" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_PeoName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PeoName" xlink:to="lab_ecd_PeoName" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AccruedLiabilitiesAndOtherLiabilities_019e6638-c427-7420-bc20-c63e6250861d_verboseLabel_en-US" xlink:label="lab_us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Accrued expenses and other liabilities</link:label>
    <link:label id="lab_us-gaap_AccruedLiabilitiesAndOtherLiabilities_label_en-US" xlink:label="lab_us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accrued Liabilities and Other Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccruedLiabilitiesAndOtherLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:to="lab_us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_StkPrcOrTsrEstimationMethodTextBlock_terseLabel_en-US" xlink:label="lab_ecd_StkPrcOrTsrEstimationMethodTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Stock Price or TSR Estimation Method</link:label>
    <link:label id="lab_ecd_StkPrcOrTsrEstimationMethodTextBlock_label_en-US" xlink:label="lab_ecd_StkPrcOrTsrEstimationMethodTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Price or TSR Estimation Method [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_StkPrcOrTsrEstimationMethodTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_StkPrcOrTsrEstimationMethodTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_StkPrcOrTsrEstimationMethodTextBlock" xlink:to="lab_ecd_StkPrcOrTsrEstimationMethodTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityTaxIdentificationNumber_019e6638-c591-77e7-848c-27443896b9d7_terseLabel_en-US" xlink:label="lab_dei_EntityTaxIdentificationNumber" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Tax Identification Number</link:label>
    <link:label id="lab_dei_EntityTaxIdentificationNumber_label_en-US" xlink:label="lab_dei_EntityTaxIdentificationNumber" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Tax Identification Number</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityTaxIdentificationNumber" xlink:to="lab_dei_EntityTaxIdentificationNumber" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresTable_019e6638-c590-7ae0-9bb8-c542c53aa2dc_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Instruments and Hedging Activities Disclosures [Table]</link:label>
    <link:label id="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresTable_label_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Instruments and Hedging Activities Disclosures [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresTable" xlink:to="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_019e6638-c590-7efe-9380-36dfc374630f_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Assets acquired:</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Asset Acquired, Asset [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PrepaidExpenseAndOtherAssets_019e6638-c4ec-78e5-a83a-1a615bf11141_verboseLabel_en-US" xlink:label="lab_us-gaap_PrepaidExpenseAndOtherAssets" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Prepaid expenses and other assets</link:label>
    <link:label id="lab_us-gaap_PrepaidExpenseAndOtherAssets_label_en-US" xlink:label="lab_us-gaap_PrepaidExpenseAndOtherAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Prepaid Expense and Other Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseAndOtherAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PrepaidExpenseAndOtherAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PrepaidExpenseAndOtherAssets" xlink:to="lab_us-gaap_PrepaidExpenseAndOtherAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RevenueRecognitionPolicyTextBlock_019e6638-c590-707d-9878-2528e7452f1b_terseLabel_en-US" xlink:label="lab_us-gaap_RevenueRecognitionPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest and Dividend Income Recognition and Other Income</link:label>
    <link:label id="lab_us-gaap_RevenueRecognitionPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_RevenueRecognitionPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Revenue [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueRecognitionPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RevenueRecognitionPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RevenueRecognitionPolicyTextBlock" xlink:to="lab_us-gaap_RevenueRecognitionPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ManagementFeePayable_019e6638-c590-79a8-8638-fc7dc342d08b_terseLabel_en-US" xlink:label="lab_us-gaap_ManagementFeePayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Management fee payable</link:label>
    <link:label id="lab_us-gaap_ManagementFeePayable_label_en-US" xlink:label="lab_us-gaap_ManagementFeePayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Management Fee Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ManagementFeePayable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ManagementFeePayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ManagementFeePayable" xlink:to="lab_us-gaap_ManagementFeePayable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassCNotesMember_019e6638-c4ec-7f3d-b6e7-1b8cadf159c2_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassCNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class C Notes</link:label>
    <link:label id="lab_obdc_CLOVIIClassCNotesMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassCNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class C Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassCNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassCNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class C Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassCNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOVIIClassCNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassCNotesMember" xlink:to="lab_obdc_CLOVIIClassCNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityIncorporationStateCountryCode_019e6638-c4ec-7b21-a69b-943b1359b0b8_terseLabel_en-US" xlink:label="lab_dei_EntityIncorporationStateCountryCode" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Incorporation, State or Country Code</link:label>
    <link:label id="lab_dei_EntityIncorporationStateCountryCode_label_en-US" xlink:label="lab_dei_EntityIncorporationStateCountryCode" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Incorporation, State or Country Code</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityIncorporationStateCountryCode" xlink:to="lab_dei_EntityIncorporationStateCountryCode" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BaseRateMember_019e6638-c590-7b24-9065-020d85dc5143_terseLabel_en-US" xlink:label="lab_us-gaap_BaseRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Base Rate</link:label>
    <link:label id="lab_us-gaap_BaseRateMember_label_en-US" xlink:label="lab_us-gaap_BaseRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Base Rate [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BaseRateMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BaseRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BaseRateMember" xlink:to="lab_us-gaap_BaseRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AggtErrCompNotYetDeterminedTextBlock_terseLabel_en-US" xlink:label="lab_ecd_AggtErrCompNotYetDeterminedTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate Erroneous Compensation Not Yet Determined</link:label>
    <link:label id="lab_ecd_AggtErrCompNotYetDeterminedTextBlock_label_en-US" xlink:label="lab_ecd_AggtErrCompNotYetDeterminedTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Aggregate Erroneous Compensation Not Yet Determined [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AggtErrCompNotYetDeterminedTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AggtErrCompNotYetDeterminedTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AggtErrCompNotYetDeterminedTextBlock" xlink:to="lab_ecd_AggtErrCompNotYetDeterminedTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareTable_019e6638-c4ec-7b8c-bb8a-ce8cb62685ce_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value, Investments, Entities that Calculate Net Asset Value Per Share [Table]</link:label>
    <link:label id="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareTable_label_en-US" xlink:label="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Investments, Entities that Calculate Net Asset Value Per Share [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareTable" xlink:to="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ManagementAndServiceFeesIncentiveRate_019e6638-c427-7cae-b984-0a78adc23a94_terseLabel_en-US" xlink:label="lab_us-gaap_ManagementAndServiceFeesIncentiveRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Incentive rate</link:label>
    <link:label id="lab_us-gaap_ManagementAndServiceFeesIncentiveRate_label_en-US" xlink:label="lab_us-gaap_ManagementAndServiceFeesIncentiveRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Management and Service Fees, Incentive Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ManagementAndServiceFeesIncentiveRate" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ManagementAndServiceFeesIncentiveRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ManagementAndServiceFeesIncentiveRate" xlink:to="lab_us-gaap_ManagementAndServiceFeesIncentiveRate" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_MtrlTermsOfTrdArrTextBlock_terseLabel_en-US" xlink:label="lab_ecd_MtrlTermsOfTrdArrTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Material Terms of Trading Arrangement</link:label>
    <link:label id="lab_ecd_MtrlTermsOfTrdArrTextBlock_label_en-US" xlink:label="lab_ecd_MtrlTermsOfTrdArrTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Material Terms of Trading Arrangement [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_MtrlTermsOfTrdArrTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_MtrlTermsOfTrdArrTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_MtrlTermsOfTrdArrTextBlock" xlink:to="lab_ecd_MtrlTermsOfTrdArrTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_VstngDtFrValOfEqtyAwrdsGrntdAndVstdInCvrdYrMember_terseLabel_en-US" xlink:label="lab_ecd_VstngDtFrValOfEqtyAwrdsGrntdAndVstdInCvrdYrMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Vesting Date Fair Value of Equity Awards Granted and Vested in Covered Year</link:label>
    <link:label id="lab_ecd_VstngDtFrValOfEqtyAwrdsGrntdAndVstdInCvrdYrMember_label_en-US" xlink:label="lab_ecd_VstngDtFrValOfEqtyAwrdsGrntdAndVstdInCvrdYrMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Vesting Date Fair Value of Equity Awards Granted and Vested in Covered Year [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_VstngDtFrValOfEqtyAwrdsGrntdAndVstdInCvrdYrMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_VstngDtFrValOfEqtyAwrdsGrntdAndVstdInCvrdYrMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_VstngDtFrValOfEqtyAwrdsGrntdAndVstdInCvrdYrMember" xlink:to="lab_ecd_VstngDtFrValOfEqtyAwrdsGrntdAndVstdInCvrdYrMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BuildingsAndRealEstateMember_019e6638-c4ec-7c1b-97d1-0677844f165f_terseLabel_en-US" xlink:label="lab_obdc_BuildingsAndRealEstateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Buildings and real estate</link:label>
    <link:label id="lab_obdc_BuildingsAndRealEstateMember_label_en-US" xlink:label="lab_obdc_BuildingsAndRealEstateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Buildings And Real Estate [Member]</link:label>
    <link:label id="lab_obdc_BuildingsAndRealEstateMember_documentation_en-US" xlink:label="lab_obdc_BuildingsAndRealEstateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Buildings And Real Estate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BuildingsAndRealEstateMember" xlink:href="obdc-20260630.xsd#obdc_BuildingsAndRealEstateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BuildingsAndRealEstateMember" xlink:to="lab_obdc_BuildingsAndRealEstateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIMember_019e6638-c427-7365-b72a-10f6df7cef60_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO III</link:label>
    <link:label id="lab_obdc_CLOIIIMember_label_en-US" xlink:label="lab_obdc_CLOIIIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO III [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO III</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIMember" xlink:href="obdc-20260630.xsd#obdc_CLOIIIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIMember" xlink:to="lab_obdc_CLOIIIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_HouseholdProductsMember_019e6638-c4ec-7a9a-bc24-87d5281a9a87_terseLabel_en-US" xlink:label="lab_obdc_HouseholdProductsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Household products</link:label>
    <link:label id="lab_obdc_HouseholdProductsMember_label_en-US" xlink:label="lab_obdc_HouseholdProductsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Household Products [Member]</link:label>
    <link:label id="lab_obdc_HouseholdProductsMember_documentation_en-US" xlink:label="lab_obdc_HouseholdProductsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Household Products</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_HouseholdProductsMember" xlink:href="obdc-20260630.xsd#obdc_HouseholdProductsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_HouseholdProductsMember" xlink:to="lab_obdc_HouseholdProductsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentAxis_019e6638-c590-7490-8255-cadd9911c4e4_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Instrument [Axis]</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentAxis_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentAxis" xlink:to="lab_us-gaap_DebtInstrumentAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventTable_019e6638-c4ec-7368-a67e-09251a5016f7_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsequent Event [Table]</link:label>
    <link:label id="lab_us-gaap_SubsequentEventTable_label_en-US" xlink:label="lab_us-gaap_SubsequentEventTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Event [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventTable" xlink:to="lab_us-gaap_SubsequentEventTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther_019e6638-c590-72fb-bc8c-9775f17ea522_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other liabilities</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Liability Assumed, Other Liability, Noncurrent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_O2026Q2DividendsMember_019ebbb7-4b67-725b-b927-b0b18aa966b6_terseLabel_en-US" xlink:label="lab_obdc_O2026Q2DividendsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">O 2026 Q2 Dividends</link:label>
    <link:label id="lab_obdc_O2026Q2DividendsMember_label_en-US" xlink:label="lab_obdc_O2026Q2DividendsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">O 2026 Q2 Dividends [Member]</link:label>
    <link:label id="lab_obdc_O2026Q2DividendsMember_documentation_en-US" xlink:label="lab_obdc_O2026Q2DividendsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">O 2026 Q2 Dividends</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_O2026Q2DividendsMember" xlink:href="obdc-20260630.xsd#obdc_O2026Q2DividendsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_O2026Q2DividendsMember" xlink:to="lab_obdc_O2026Q2DividendsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInDueToAffiliates_019e6638-c590-7d43-80a2-e7c145ecdfdd_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInDueToAffiliates" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase (decrease) in payables to affiliate</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInDueToAffiliates_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInDueToAffiliates" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Due to Affiliates</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInDueToAffiliates" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInDueToAffiliates"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInDueToAffiliates" xlink:to="lab_us-gaap_IncreaseDecreaseInDueToAffiliates" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction_019e6638-c4ec-7540-91b1-cdf1fcb57b58_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amount of transaction</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction, Amounts of Transaction</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyTransactionAmountsOfTransaction"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:to="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock_019e6638-c4ec-7948-a8dc-d36e86a1636b_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of the Fair Value and Notional Value of the Derivative Assets and Liabilities</link:label>
    <link:label id="lab_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Derivative Instruments in Statement of Financial Position, Fair Value [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock" xlink:to="lab_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EarningsPerShareBasic_019e6638-c590-7001-982a-25a4f1ffeac0_verboseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareBasic" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Earnings Per Share - Basic (in usd per share)</link:label>
    <link:label id="lab_us-gaap_EarningsPerShareBasic_019e6638-c590-7b95-8266-d8919d146ebb_terseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareBasic" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Earnings per common share-basic (in usd per share)</link:label>
    <link:label id="lab_us-gaap_EarningsPerShareBasic_label_en-US" xlink:label="lab_us-gaap_EarningsPerShareBasic" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Earnings Per Share, Basic</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareBasic" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerShareBasic"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EarningsPerShareBasic" xlink:to="lab_us-gaap_EarningsPerShareBasic" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MeasurementInputTypeAxis_019e6638-c4ec-7f4c-a3d6-832d41985789_terseLabel_en-US" xlink:label="lab_us-gaap_MeasurementInputTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Measurement Input Type [Axis]</link:label>
    <link:label id="lab_us-gaap_MeasurementInputTypeAxis_label_en-US" xlink:label="lab_us-gaap_MeasurementInputTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MeasurementInputTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MeasurementInputTypeAxis" xlink:to="lab_us-gaap_MeasurementInputTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_InsiderTradingArrLineItems_label_en-US" xlink:label="lab_ecd_InsiderTradingArrLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Insider Trading Arrangements [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_InsiderTradingArrLineItems" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_InsiderTradingArrLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_InsiderTradingArrLineItems" xlink:to="lab_ecd_InsiderTradingArrLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_O2026Q1DividendsMember_019e6638-c4ec-7bd7-bd99-fa18b251d370_terseLabel_en-US" xlink:label="lab_obdc_O2026Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">O 2026 Q1 Dividends</link:label>
    <link:label id="lab_obdc_O2026Q1DividendsMember_label_en-US" xlink:label="lab_obdc_O2026Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">O 2026 Q1 Dividends [Member]</link:label>
    <link:label id="lab_obdc_O2026Q1DividendsMember_documentation_en-US" xlink:label="lab_obdc_O2026Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">O 2026 Q1 Dividends</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_O2026Q1DividendsMember" xlink:href="obdc-20260630.xsd#obdc_O2026Q1DividendsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_O2026Q1DividendsMember" xlink:to="lab_obdc_O2026Q1DividendsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease_019e6638-c4ec-71d6-bef1-5910d14ac27f_terseLabel_en-US" xlink:label="lab_us-gaap_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cumulative hedging adjustments, included in carrying amount</link:label>
    <link:label id="lab_us-gaap_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease_label_en-US" xlink:label="lab_us-gaap_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Hedged Liability, Fair Value Hedge, Cumulative Increase (Decrease)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease" xlink:to="lab_us-gaap_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassBRNotesMember_019e6638-c590-7e65-a988-218429dc4606_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-R Notes</link:label>
    <link:label id="lab_obdc_CLOVIIClassBRNotesMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassBRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassBRNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOVIIClassBRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassBRNotesMember" xlink:to="lab_obdc_CLOVIIClassBRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AggtChngPnsnValInSummryCompstnTblForAplblYrMember_terseLabel_en-US" xlink:label="lab_ecd_AggtChngPnsnValInSummryCompstnTblForAplblYrMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate Change in Present Value of Accumulated Benefit for All Pension Plans Reported in Summary Compensation Table</link:label>
    <link:label id="lab_ecd_AggtChngPnsnValInSummryCompstnTblForAplblYrMember_label_en-US" xlink:label="lab_ecd_AggtChngPnsnValInSummryCompstnTblForAplblYrMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Aggregate Change in Present Value of Accumulated Benefit for All Pension Plans Reported in Summary Compensation Table [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AggtChngPnsnValInSummryCompstnTblForAplblYrMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_AggtChngPnsnValInSummryCompstnTblForAplblYrMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AggtChngPnsnValInSummryCompstnTblForAplblYrMember" xlink:to="lab_ecd_AggtChngPnsnValInSummryCompstnTblForAplblYrMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount_019e6638-c591-7edc-be65-4d070117f791_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Unfunded Commitments</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Financial Support to Investee Contractually Required, Not Provided, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount" xlink:to="lab_us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueDisclosureItemAmountsDomain_019e6638-c4ec-7141-8562-a75f2b3b1dee_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueDisclosureItemAmountsDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value Measurement [Domain]</link:label>
    <link:label id="lab_us-gaap_FairValueDisclosureItemAmountsDomain_label_en-US" xlink:label="lab_us-gaap_FairValueDisclosureItemAmountsDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Measurement [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosureItemAmountsDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueDisclosureItemAmountsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueDisclosureItemAmountsDomain" xlink:to="lab_us-gaap_FairValueDisclosureItemAmountsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXClassAL1LoansMember_019e6638-c4ec-7a21-989f-e6fd225f6e55_terseLabel_en-US" xlink:label="lab_obdc_CLOXClassAL1LoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO X, Class A-L1 Loans</link:label>
    <link:label id="lab_obdc_CLOXClassAL1LoansMember_label_en-US" xlink:label="lab_obdc_CLOXClassAL1LoansMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO X, Class A-L1 Loans [Member]</link:label>
    <link:label id="lab_obdc_CLOXClassAL1LoansMember_documentation_en-US" xlink:label="lab_obdc_CLOXClassAL1LoansMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO X, Class A-L1 Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXClassAL1LoansMember" xlink:href="obdc-20260630.xsd#obdc_CLOXClassAL1LoansMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXClassAL1LoansMember" xlink:to="lab_obdc_CLOXClassAL1LoansMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock_terseLabel_en-US" xlink:label="lab_ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Compensation Actually Paid vs. Company Selected Measure</link:label>
    <link:label id="lab_ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock_label_en-US" xlink:label="lab_ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Compensation Actually Paid vs. Company Selected Measure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock" xlink:to="lab_ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_CoverAbstract_label_en-US" xlink:label="lab_dei_CoverAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cover [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_CoverAbstract" xlink:to="lab_dei_CoverAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PriorPeriodReclassificationAdjustmentDescription_019e6638-c590-7786-a0a8-f138578ea7bb_terseLabel_en-US" xlink:label="lab_us-gaap_PriorPeriodReclassificationAdjustmentDescription" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Reclassifications</link:label>
    <link:label id="lab_us-gaap_PriorPeriodReclassificationAdjustmentDescription_label_en-US" xlink:label="lab_us-gaap_PriorPeriodReclassificationAdjustmentDescription" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Reclassification, Comparability Adjustment [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PriorPeriodReclassificationAdjustmentDescription" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PriorPeriodReclassificationAdjustmentDescription"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PriorPeriodReclassificationAdjustmentDescription" xlink:to="lab_us-gaap_PriorPeriodReclassificationAdjustmentDescription" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt_019e6638-c4eb-74b2-9964-83131b3a95a7_terseLabel_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt (net of unamortized debt issuance costs of $28,157)</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt_label_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Liability Assumed, Long-term Debt</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt_documentation_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Liability Assumed, Long-term Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt" xlink:href="obdc-20260630.xsd#obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt" xlink:to="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_019e6638-c4ec-7c97-948f-936b3a486e42_terseLabel_en-US" xlink:label="lab_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject To 6 Months</link:label>
    <link:label id="lab_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_label_en-US" xlink:label="lab_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Six Months Secured Overnight Financing Rate Sofr Overnight Index Swap Rate [Member]</link:label>
    <link:label id="lab_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_documentation_en-US" xlink:label="lab_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Six Months Secured Overnight Financing Rate Sofr Overnight Index Swap Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:href="obdc-20260630.xsd#obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:to="lab_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConcentrationRiskPercentage1_019e6638-c4ec-7314-9228-ef0012d7a2a0_terseLabel_en-US" xlink:label="lab_us-gaap_ConcentrationRiskPercentage1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Concentration risk</link:label>
    <link:label id="lab_us-gaap_ConcentrationRiskPercentage1_label_en-US" xlink:label="lab_us-gaap_ConcentrationRiskPercentage1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Concentration Risk, Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskPercentage1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConcentrationRiskPercentage1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConcentrationRiskPercentage1" xlink:to="lab_us-gaap_ConcentrationRiskPercentage1" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_EqtyAwrdsAdjsMember_terseLabel_en-US" xlink:label="lab_ecd_EqtyAwrdsAdjsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Awards Adjustments</link:label>
    <link:label id="lab_ecd_EqtyAwrdsAdjsMember_label_en-US" xlink:label="lab_ecd_EqtyAwrdsAdjsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Awards Adjustments [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_EqtyAwrdsAdjsMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_EqtyAwrdsAdjsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_EqtyAwrdsAdjsMember" xlink:to="lab_ecd_EqtyAwrdsAdjsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVClassA2NotesMember_019e6638-c4eb-7ef7-a753-aab83aabf7cc_terseLabel_en-US" xlink:label="lab_obdc_CLOVClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V, Class A-2 Notes</link:label>
    <link:label id="lab_obdc_CLOVClassA2NotesMember_label_en-US" xlink:label="lab_obdc_CLOVClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V, Class A-2 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVClassA2NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V, Class A-2 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVClassA2NotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOVClassA2NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVClassA2NotesMember" xlink:to="lab_obdc_CLOVClassA2NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EquityCommitmentsMember_019e6638-c590-7437-9adf-949cd1a3018e_terseLabel_en-US" xlink:label="lab_obdc_EquityCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity commitments</link:label>
    <link:label id="lab_obdc_EquityCommitmentsMember_label_en-US" xlink:label="lab_obdc_EquityCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Commitments [Member]</link:label>
    <link:label id="lab_obdc_EquityCommitmentsMember_documentation_en-US" xlink:label="lab_obdc_EquityCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Commitments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EquityCommitmentsMember" xlink:href="obdc-20260630.xsd#obdc_EquityCommitmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EquityCommitmentsMember" xlink:to="lab_obdc_EquityCommitmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquitySecuritiesIndustryMember_019e6638-c4eb-7f38-8cdd-05ecdfb83b39_terseLabel_en-US" xlink:label="lab_us-gaap_EquitySecuritiesIndustryMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Industry Sector [Domain]</link:label>
    <link:label id="lab_us-gaap_EquitySecuritiesIndustryMember_label_en-US" xlink:label="lab_us-gaap_EquitySecuritiesIndustryMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Industry Sector [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquitySecuritiesIndustryMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquitySecuritiesIndustryMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquitySecuritiesIndustryMember" xlink:to="lab_us-gaap_EquitySecuritiesIndustryMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentOwnedPercentOfNetAssets_019e6638-c4ec-7536-8b63-3e5c207bc288_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">% of Net Assets</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedPercentOfNetAssets_019e6638-c4ec-79a6-92a9-3b89c8d518ff_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Investment owned, net assets, percentage</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedPercentOfNetAssets_label_en-US" xlink:label="lab_us-gaap_InvestmentOwnedPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Owned, Net Assets, Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentOwnedPercentOfNetAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentOwnedPercentOfNetAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedPercentOfNetAssets" xlink:to="lab_us-gaap_InvestmentOwnedPercentOfNetAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentPrincipalPaymentPercentage_019e6638-c590-79f1-a174-747816bc5bc7_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentPrincipalPaymentPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Principal payment percentage</link:label>
    <link:label id="lab_obdc_DebtInstrumentPrincipalPaymentPercentage_label_en-US" xlink:label="lab_obdc_DebtInstrumentPrincipalPaymentPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Principal Payment Percentage</link:label>
    <link:label id="lab_obdc_DebtInstrumentPrincipalPaymentPercentage_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentPrincipalPaymentPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Principal Payment Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentPrincipalPaymentPercentage" xlink:href="obdc-20260630.xsd#obdc_DebtInstrumentPrincipalPaymentPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentPrincipalPaymentPercentage" xlink:to="lab_obdc_DebtInstrumentPrincipalPaymentPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList_019e6638-c591-7a7f-8405-1c8094c47b35_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value, Asset, Recurring Basis, Still Held, Unrealized Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]</link:label>
    <link:label id="lab_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList_label_en-US" xlink:label="lab_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Asset, Recurring Basis, Still Held, Unrealized Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" xlink:to="lab_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_OneMonthEURIBORMember_019e6638-c590-7dd2-850c-8937e279e6e8_terseLabel_en-US" xlink:label="lab_obdc_OneMonthEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject to 1 month EURIBOR</link:label>
    <link:label id="lab_obdc_OneMonthEURIBORMember_label_en-US" xlink:label="lab_obdc_OneMonthEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">One Month EURIBOR [Member]</link:label>
    <link:label id="lab_obdc_OneMonthEURIBORMember_documentation_en-US" xlink:label="lab_obdc_OneMonthEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">One Month EURIBOR</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_OneMonthEURIBORMember" xlink:href="obdc-20260630.xsd#obdc_OneMonthEURIBORMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_OneMonthEURIBORMember" xlink:to="lab_obdc_OneMonthEURIBORMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ValuationTechniqueRecoveryAnalysisMember_019fb979-bed0-7784-b5bb-db111d2fb95e_terseLabel_en-US" xlink:label="lab_obdc_ValuationTechniqueRecoveryAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Recovery Analysis</link:label>
    <link:label id="lab_obdc_ValuationTechniqueRecoveryAnalysisMember_label_en-US" xlink:label="lab_obdc_ValuationTechniqueRecoveryAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique, Recovery Analysis [Member]</link:label>
    <link:label id="lab_obdc_ValuationTechniqueRecoveryAnalysisMember_documentation_en-US" xlink:label="lab_obdc_ValuationTechniqueRecoveryAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Valuation Technique, Recovery Analysis</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ValuationTechniqueRecoveryAnalysisMember" xlink:href="obdc-20260630.xsd#obdc_ValuationTechniqueRecoveryAnalysisMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ValuationTechniqueRecoveryAnalysisMember" xlink:to="lab_obdc_ValuationTechniqueRecoveryAnalysisMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember_019e6638-c4eb-7850-a692-b3227d37887e_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII Refinancing Additional Preferred Shares</link:label>
    <link:label id="lab_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember_label_en-US" xlink:label="lab_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII Refinancing Additional Preferred Shares [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII Refinancing Additional Preferred Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember" xlink:href="obdc-20260630.xsd#obdc_CLOVIIRefinancingAdditionalPreferredSharesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember" xlink:to="lab_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ValuationTechniqueBookMultipleAnalysisMember_019fb979-bed0-7d5c-b69c-e199e795e89c_terseLabel_en-US" xlink:label="lab_obdc_ValuationTechniqueBookMultipleAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Book Multiple</link:label>
    <link:label id="lab_obdc_ValuationTechniqueBookMultipleAnalysisMember_label_en-US" xlink:label="lab_obdc_ValuationTechniqueBookMultipleAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique, Book Multiple Analysis [Member]</link:label>
    <link:label id="lab_obdc_ValuationTechniqueBookMultipleAnalysisMember_documentation_en-US" xlink:label="lab_obdc_ValuationTechniqueBookMultipleAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Valuation Technique, Book Multiple Analysis</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ValuationTechniqueBookMultipleAnalysisMember" xlink:href="obdc-20260630.xsd#obdc_ValuationTechniqueBookMultipleAnalysisMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ValuationTechniqueBookMultipleAnalysisMember" xlink:to="lab_obdc_ValuationTechniqueBookMultipleAnalysisMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_GainsLossesOnSalesOfAssets_019e6638-c4eb-7a43-bf0f-3f590bd6130d_terseLabel_en-US" xlink:label="lab_us-gaap_GainsLossesOnSalesOfAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Gain on sale of assets</link:label>
    <link:label id="lab_us-gaap_GainsLossesOnSalesOfAssets_label_en-US" xlink:label="lab_us-gaap_GainsLossesOnSalesOfAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gain (Loss) on Disposition of Assets for Financial Service Operations</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainsLossesOnSalesOfAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_GainsLossesOnSalesOfAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GainsLossesOnSalesOfAssets" xlink:to="lab_us-gaap_GainsLossesOnSalesOfAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MeasurementInputMarketAdjustmentFactorMember_019e6638-c4eb-7252-a801-41ad8a865814_terseLabel_en-US" xlink:label="lab_obdc_MeasurementInputMarketAdjustmentFactorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Market Adjustment Factor</link:label>
    <link:label id="lab_obdc_MeasurementInputMarketAdjustmentFactorMember_label_en-US" xlink:label="lab_obdc_MeasurementInputMarketAdjustmentFactorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Market Adjustment Factor [Member]</link:label>
    <link:label id="lab_obdc_MeasurementInputMarketAdjustmentFactorMember_documentation_en-US" xlink:label="lab_obdc_MeasurementInputMarketAdjustmentFactorMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input, Market Adjustment Factor</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MeasurementInputMarketAdjustmentFactorMember" xlink:href="obdc-20260630.xsd#obdc_MeasurementInputMarketAdjustmentFactorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MeasurementInputMarketAdjustmentFactorMember" xlink:to="lab_obdc_MeasurementInputMarketAdjustmentFactorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount_019e6638-c427-7cb8-b63e-a19f2c16e377_terseLabel_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Purchase Premium/(Discount)</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount_label_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Purchase Premium (Discount)</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount_documentation_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Purchase Premium (Discount)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount" xlink:href="obdc-20260630.xsd#obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount" xlink:to="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TwoThousandThirtyNotesMember_019e6638-c591-757d-9249-8865091a9fe6_terseLabel_en-US" xlink:label="lab_obdc_TwoThousandThirtyNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2030 Notes</link:label>
    <link:label id="lab_obdc_TwoThousandThirtyNotesMember_label_en-US" xlink:label="lab_obdc_TwoThousandThirtyNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Two Thousand Thirty Notes [Member]</link:label>
    <link:label id="lab_obdc_TwoThousandThirtyNotesMember_documentation_en-US" xlink:label="lab_obdc_TwoThousandThirtyNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Two Thousand Thirty Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TwoThousandThirtyNotesMember" xlink:href="obdc-20260630.xsd#obdc_TwoThousandThirtyNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TwoThousandThirtyNotesMember" xlink:to="lab_obdc_TwoThousandThirtyNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare_019e6638-c4ec-71fd-b75e-d0d67b818531_negatedLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Distributions declared from earnings (in usd per share)</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Distribution to Shareholders, Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyDistributionToShareholdersPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare" xlink:to="lab_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtSecuritiesNettingMember_019e6638-c4ec-7e19-af27-4c458d22468d_terseLabel_en-US" xlink:label="lab_obdc_DebtSecuritiesNettingMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Securities Netting</link:label>
    <link:label id="lab_obdc_DebtSecuritiesNettingMember_label_en-US" xlink:label="lab_obdc_DebtSecuritiesNettingMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Securities Netting [Member]</link:label>
    <link:label id="lab_obdc_DebtSecuritiesNettingMember_documentation_en-US" xlink:label="lab_obdc_DebtSecuritiesNettingMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Securities Netting</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtSecuritiesNettingMember" xlink:href="obdc-20260630.xsd#obdc_DebtSecuritiesNettingMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtSecuritiesNettingMember" xlink:to="lab_obdc_DebtSecuritiesNettingMember" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_ShareRepurchaseProgramAxis_019e6638-c591-7943-9e42-7c583aae5eaa_terseLabel_en-US" xlink:label="lab_srt_ShareRepurchaseProgramAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share Repurchase Program [Axis]</link:label>
    <link:label id="lab_srt_ShareRepurchaseProgramAxis_label_en-US" xlink:label="lab_srt_ShareRepurchaseProgramAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share Repurchase Program [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ShareRepurchaseProgramAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ShareRepurchaseProgramAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ShareRepurchaseProgramAxis" xlink:to="lab_srt_ShareRepurchaseProgramAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_HedgingDesignationDomain_019e6638-c590-7cf6-a477-431e3b15ee77_terseLabel_en-US" xlink:label="lab_us-gaap_HedgingDesignationDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Hedging Designation [Domain]</link:label>
    <link:label id="lab_us-gaap_HedgingDesignationDomain_label_en-US" xlink:label="lab_us-gaap_HedgingDesignationDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Hedging Designation [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgingDesignationDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HedgingDesignationDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_HedgingDesignationDomain" xlink:to="lab_us-gaap_HedgingDesignationDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StatementOfCashFlowsAbstract_label_en-US" xlink:label="lab_us-gaap_StatementOfCashFlowsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement of Cash Flows [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfCashFlowsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementOfCashFlowsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementOfCashFlowsAbstract" xlink:to="lab_us-gaap_StatementOfCashFlowsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MidwestRegionMember_019e6638-c590-70fa-aae3-ba7b4ef71782_terseLabel_en-US" xlink:label="lab_us-gaap_MidwestRegionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Midwest</link:label>
    <link:label id="lab_us-gaap_MidwestRegionMember_label_en-US" xlink:label="lab_us-gaap_MidwestRegionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">US Midwest Region [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MidwestRegionMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MidwestRegionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MidwestRegionMember" xlink:to="lab_us-gaap_MidwestRegionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration_019e6638-c4ec-7046-87ea-d28ad0c20dae_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]</link:label>
    <link:label id="lab_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration_label_en-US" xlink:label="lab_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" xlink:to="lab_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TrdArrSecuritiesAggAvailAmt_terseLabel_en-US" xlink:label="lab_ecd_TrdArrSecuritiesAggAvailAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate Available</link:label>
    <link:label id="lab_ecd_TrdArrSecuritiesAggAvailAmt_label_en-US" xlink:label="lab_ecd_TrdArrSecuritiesAggAvailAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangement, Securities Aggregate Available Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TrdArrSecuritiesAggAvailAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_TrdArrSecuritiesAggAvailAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TrdArrSecuritiesAggAvailAmt" xlink:to="lab_ecd_TrdArrSecuritiesAggAvailAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ValuationTechniqueCollateralAnalysisMember_019e6638-c4ec-7bec-a1b6-64c134befc98_terseLabel_en-US" xlink:label="lab_obdc_ValuationTechniqueCollateralAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Collateral Analysis</link:label>
    <link:label id="lab_obdc_ValuationTechniqueCollateralAnalysisMember_label_en-US" xlink:label="lab_obdc_ValuationTechniqueCollateralAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique, Collateral Analysis [Member]</link:label>
    <link:label id="lab_obdc_ValuationTechniqueCollateralAnalysisMember_documentation_en-US" xlink:label="lab_obdc_ValuationTechniqueCollateralAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Valuation Technique, Collateral Analysis</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ValuationTechniqueCollateralAnalysisMember" xlink:href="obdc-20260630.xsd#obdc_ValuationTechniqueCollateralAnalysisMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ValuationTechniqueCollateralAnalysisMember" xlink:to="lab_obdc_ValuationTechniqueCollateralAnalysisMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeTaxDisclosureTextBlock_019e6638-c4ec-7d37-83be-95a93fa5034f_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Income Taxes</link:label>
    <link:label id="lab_us-gaap_IncomeTaxDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_IncomeTaxDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Tax Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxDisclosureTextBlock" xlink:to="lab_us-gaap_IncomeTaxDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SaleOfStockGrossProceedsReceived_019e6638-c427-731d-997a-2432351b3e39_terseLabel_en-US" xlink:label="lab_obdc_SaleOfStockGrossProceedsReceived" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Gross Proceeds</link:label>
    <link:label id="lab_obdc_SaleOfStockGrossProceedsReceived_label_en-US" xlink:label="lab_obdc_SaleOfStockGrossProceedsReceived" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sale of Stock, Gross Proceeds Received</link:label>
    <link:label id="lab_obdc_SaleOfStockGrossProceedsReceived_documentation_en-US" xlink:label="lab_obdc_SaleOfStockGrossProceedsReceived" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Sale of Stock, Gross Proceeds Received</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SaleOfStockGrossProceedsReceived" xlink:href="obdc-20260630.xsd#obdc_SaleOfStockGrossProceedsReceived"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SaleOfStockGrossProceedsReceived" xlink:to="lab_obdc_SaleOfStockGrossProceedsReceived" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember_019e6638-c590-7ce4-9913-12ff82dea172_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Asset Coverage Ratio Threshold</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Asset Coverage Ratio Threshold [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Asset Coverage Ratio Threshold</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember" xlink:href="obdc-20260630.xsd#obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PvpTable_terseLabel_en-US" xlink:label="lab_ecd_PvpTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pay vs Performance Disclosure</link:label>
    <link:label id="lab_ecd_PvpTable_label_en-US" xlink:label="lab_ecd_PvpTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pay vs Performance Disclosure [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PvpTable" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_PvpTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PvpTable" xlink:to="lab_ecd_PvpTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationConsiderationTransferred1_019e6638-c427-786d-b215-7f4add5ce87c_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationConsiderationTransferred1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total purchase price</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationConsiderationTransferred1_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationConsiderationTransferred1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Consideration Transferred</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferred1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationConsiderationTransferred1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationConsiderationTransferred1" xlink:to="lab_us-gaap_BusinessCombinationConsiderationTransferred1" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityFilerCategory_019e6638-c590-78dd-86a8-ef9ca8c1c3c4_terseLabel_en-US" xlink:label="lab_dei_EntityFilerCategory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Filer Category</link:label>
    <link:label id="lab_dei_EntityFilerCategory_label_en-US" xlink:label="lab_dei_EntityFilerCategory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Filer Category</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFilerCategory" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityFilerCategory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityFilerCategory" xlink:to="lab_dei_EntityFilerCategory" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AutomotiveSectorMember_019e6638-c590-7b5f-91d4-d925592be754_terseLabel_en-US" xlink:label="lab_us-gaap_AutomotiveSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Automotive services</link:label>
    <link:label id="lab_us-gaap_AutomotiveSectorMember_label_en-US" xlink:label="lab_us-gaap_AutomotiveSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Automotive Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AutomotiveSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AutomotiveSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AutomotiveSectorMember" xlink:to="lab_us-gaap_AutomotiveSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVClassB1NotesMember_019e6638-c428-7aee-b4a6-e50d55efdc64_terseLabel_en-US" xlink:label="lab_obdc_CLOVClassB1NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V, Class B-1 Notes</link:label>
    <link:label id="lab_obdc_CLOVClassB1NotesMember_label_en-US" xlink:label="lab_obdc_CLOVClassB1NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V, Class B-1 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVClassB1NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVClassB1NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V, Class B-1 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVClassB1NotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOVClassB1NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVClassB1NotesMember" xlink:to="lab_obdc_CLOVClassB1NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendsAxis_019e6638-c590-74c1-b0f4-21ca9a03f55d_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividends [Axis]</link:label>
    <link:label id="lab_us-gaap_DividendsAxis_label_en-US" xlink:label="lab_us-gaap_DividendsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsAxis" xlink:to="lab_us-gaap_DividendsAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable_019e6638-c590-74c3-92f9-56ee556a0b28_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsidiary or Equity Method Investee, Sale of Stock [Table]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable_label_en-US" xlink:label="lab_us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsidiary or Equity Method Investee, Sale of Stock [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable" xlink:to="lab_us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SONIAMember_019e6638-c590-7345-8ffe-04545b8c7f2b_terseLabel_en-US" xlink:label="lab_obdc_SONIAMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject to SONIA</link:label>
    <link:label id="lab_obdc_SONIAMember_label_en-US" xlink:label="lab_obdc_SONIAMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">SONIA [Member]</link:label>
    <link:label id="lab_obdc_SONIAMember_documentation_en-US" xlink:label="lab_obdc_SONIAMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">SONIA</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SONIAMember" xlink:href="obdc-20260630.xsd#obdc_SONIAMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SONIAMember" xlink:to="lab_obdc_SONIAMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ORCCFinancingIVLLCMember_019e6638-c4ec-7f64-a6c3-c679d0922167_terseLabel_en-US" xlink:label="lab_obdc_ORCCFinancingIVLLCMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">ORCC Financing IV, LLC</link:label>
    <link:label id="lab_obdc_ORCCFinancingIVLLCMember_label_en-US" xlink:label="lab_obdc_ORCCFinancingIVLLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">ORCC Financing IV, LLC [Member]</link:label>
    <link:label id="lab_obdc_ORCCFinancingIVLLCMember_documentation_en-US" xlink:label="lab_obdc_ORCCFinancingIVLLCMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">ORCC Financing IV, LLC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ORCCFinancingIVLLCMember" xlink:href="obdc-20260630.xsd#obdc_ORCCFinancingIVLLCMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ORCCFinancingIVLLCMember" xlink:to="lab_obdc_ORCCFinancingIVLLCMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentInterestRateDuringPeriod_019e6638-c427-7e3b-b041-d2f7dc81700e_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentInterestRateDuringPeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Average interest rate</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentInterestRateDuringPeriod_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentInterestRateDuringPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Interest Rate During Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentInterestRateDuringPeriod" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentInterestRateDuringPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentInterestRateDuringPeriod" xlink:to="lab_us-gaap_DebtInstrumentInterestRateDuringPeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TransportationMember_019e6638-c590-705e-aec9-9c49a2eee610_terseLabel_en-US" xlink:label="lab_obdc_TransportationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transportation</link:label>
    <link:label id="lab_obdc_TransportationMember_label_en-US" xlink:label="lab_obdc_TransportationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Transportation [Member]</link:label>
    <link:label id="lab_obdc_TransportationMember_documentation_en-US" xlink:label="lab_obdc_TransportationMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Transportation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TransportationMember" xlink:href="obdc-20260630.xsd#obdc_TransportationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TransportationMember" xlink:to="lab_obdc_TransportationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConcentrationRiskBenchmarkDomain_019e6638-c4ec-74d6-8a52-f31014ca667b_terseLabel_en-US" xlink:label="lab_us-gaap_ConcentrationRiskBenchmarkDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Concentration Risk Benchmark [Domain]</link:label>
    <link:label id="lab_us-gaap_ConcentrationRiskBenchmarkDomain_label_en-US" xlink:label="lab_us-gaap_ConcentrationRiskBenchmarkDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Concentration Risk Benchmark [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskBenchmarkDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConcentrationRiskBenchmarkDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConcentrationRiskBenchmarkDomain" xlink:to="lab_us-gaap_ConcentrationRiskBenchmarkDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NondesignatedMember_019e6638-c590-7ee1-8344-f98c494f5a58_terseLabel_en-US" xlink:label="lab_us-gaap_NondesignatedMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Not Designated as Hedging Instrument</link:label>
    <link:label id="lab_us-gaap_NondesignatedMember_label_en-US" xlink:label="lab_us-gaap_NondesignatedMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Not Designated as Hedging Instrument [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NondesignatedMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NondesignatedMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NondesignatedMember" xlink:to="lab_us-gaap_NondesignatedMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract_label_en-US" xlink:label="lab_us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments, Debt and Equity Securities [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:to="lab_us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss_019e6638-c4ec-71b1-9184-4338756405ed_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized gain (loss)</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Asset, Recurring Basis, Still Held, Unrealized Gain (Loss)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InitialSecondThresholdPercentageMember_019e6638-c591-7765-9357-648848a1b3cd_terseLabel_en-US" xlink:label="lab_obdc_InitialSecondThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Initial Second Threshold Percentage</link:label>
    <link:label id="lab_obdc_InitialSecondThresholdPercentageMember_label_en-US" xlink:label="lab_obdc_InitialSecondThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Initial Second Threshold Percentage [Member]</link:label>
    <link:label id="lab_obdc_InitialSecondThresholdPercentageMember_documentation_en-US" xlink:label="lab_obdc_InitialSecondThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Initial Second Threshold Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InitialSecondThresholdPercentageMember" xlink:href="obdc-20260630.xsd#obdc_InitialSecondThresholdPercentageMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InitialSecondThresholdPercentageMember" xlink:to="lab_obdc_InitialSecondThresholdPercentageMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestRateSwaps2029Notes1Member_019e6638-c4eb-73f1-bd4a-9340c0ac6726_terseLabel_en-US" xlink:label="lab_obdc_InterestRateSwaps2029Notes1Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest Rate Swap 2029 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2029Notes1Member_019f5b42-624b-7d3c-9235-b52e88aa9ea9_verboseLabel_en-US" xlink:label="lab_obdc_InterestRateSwaps2029Notes1Member" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">2029 Notes - $600 mm</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2029Notes1Member_label_en-US" xlink:label="lab_obdc_InterestRateSwaps2029Notes1Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps, 2029 Notes 1 [Member]</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2029Notes1Member_documentation_en-US" xlink:label="lab_obdc_InterestRateSwaps2029Notes1Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps, 2029 Notes 1</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestRateSwaps2029Notes1Member" xlink:href="obdc-20260630.xsd#obdc_InterestRateSwaps2029Notes1Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestRateSwaps2029Notes1Member" xlink:to="lab_obdc_InterestRateSwaps2029Notes1Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessAcquisitionSharePrice_019e6638-c4eb-74c4-ad2a-7918b71f6b62_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionSharePrice" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share price (in usd per share)</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionSharePrice_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionSharePrice" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Price Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionSharePrice" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionSharePrice"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionSharePrice" xlink:to="lab_us-gaap_BusinessAcquisitionSharePrice" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_GrossInvestmentIncomeOperating_019e6638-c4ec-7c4d-b413-1325eb8c0592_totalLabel_en-US" xlink:label="lab_us-gaap_GrossInvestmentIncomeOperating" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Investment Income</link:label>
    <link:label id="lab_us-gaap_GrossInvestmentIncomeOperating_019e6638-c4ec-7af1-8532-b12f09f8e56a_terseLabel_en-US" xlink:label="lab_us-gaap_GrossInvestmentIncomeOperating" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment income</link:label>
    <link:label id="lab_us-gaap_GrossInvestmentIncomeOperating_label_en-US" xlink:label="lab_us-gaap_GrossInvestmentIncomeOperating" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gross Investment Income, Operating</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GrossInvestmentIncomeOperating" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_GrossInvestmentIncomeOperating"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GrossInvestmentIncomeOperating" xlink:to="lab_us-gaap_GrossInvestmentIncomeOperating" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeLiabilities_019e6638-c591-7d84-886a-6358b8d2e285_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative liabilities</link:label>
    <link:label id="lab_us-gaap_DerivativeLiabilities_label_en-US" xlink:label="lab_us-gaap_DerivativeLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Liability</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeLiabilities" xlink:to="lab_us-gaap_DerivativeLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ManagementFeeExpenseNetOfWaivers_019f83d9-4979-7d36-8f37-69a192642f3f_totalLabel_en-US" xlink:label="lab_obdc_ManagementFeeExpenseNetOfWaivers" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Management Fees, net of Management Fee Waivers</link:label>
    <link:label id="lab_obdc_ManagementFeeExpenseNetOfWaivers_label_en-US" xlink:label="lab_obdc_ManagementFeeExpenseNetOfWaivers" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Management Fee Expense, Net of Waivers</link:label>
    <link:label id="lab_obdc_ManagementFeeExpenseNetOfWaivers_documentation_en-US" xlink:label="lab_obdc_ManagementFeeExpenseNetOfWaivers" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Management Fee Expense, Net of Waivers</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ManagementFeeExpenseNetOfWaivers" xlink:href="obdc-20260630.xsd#obdc_ManagementFeeExpenseNetOfWaivers"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ManagementFeeExpenseNetOfWaivers" xlink:to="lab_obdc_ManagementFeeExpenseNetOfWaivers" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SeniorNotesMember_019e6638-c427-7145-987d-d5afd1ca68ac_terseLabel_en-US" xlink:label="lab_us-gaap_SeniorNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Senior Notes</link:label>
    <link:label id="lab_us-gaap_SeniorNotesMember_label_en-US" xlink:label="lab_us-gaap_SeniorNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Senior Notes [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeniorNotesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SeniorNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SeniorNotesMember" xlink:to="lab_us-gaap_SeniorNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock_019e6638-c4ec-7c7f-980a-aee08539547d_terseLabel_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign Currency</link:label>
    <link:label id="lab_us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Transactions and Translations Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock" xlink:to="lab_us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityAddressAddressLine1_019e6638-c427-7588-b8a9-6d5255f0fe6a_terseLabel_en-US" xlink:label="lab_dei_EntityAddressAddressLine1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Address, Address Line One</link:label>
    <link:label id="lab_dei_EntityAddressAddressLine1_label_en-US" xlink:label="lab_dei_EntityAddressAddressLine1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Address, Address Line One</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressAddressLine1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressAddressLine1" xlink:to="lab_dei_EntityAddressAddressLine1" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIClassARNotesMember_019e6638-c4ec-7313-83bd-8f628656437f_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO III Class A-R Notes</link:label>
    <link:label id="lab_obdc_CLOIIIClassARNotesMember_label_en-US" xlink:label="lab_obdc_CLOIIIClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO III, Class A-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIClassARNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO III, Class A-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIClassARNotesMember" xlink:href="obdc-20260630.xsd#obdc_CLOIIIClassARNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIClassARNotesMember" xlink:to="lab_obdc_CLOIIIClassARNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueRollForward_019e6638-c591-7406-b09b-bef0e93041c6_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments in and Advances to Affiliates, at Fair Value [Roll Forward]</link:label>
    <link:label id="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueRollForward_label_en-US" xlink:label="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments in and Advances to Affiliates, at Fair Value [Roll Forward]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueRollForward" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueRollForward" xlink:to="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax_019e6638-c427-7c39-ade7-c660d9c4ed08_terseLabel_en-US" xlink:label="lab_us-gaap_RealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net realized gain (loss)</link:label>
    <link:label id="lab_us-gaap_RealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax_label_en-US" xlink:label="lab_us-gaap_RealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Realized Gain (Loss), Investment, Derivative, and Foreign Currency Transaction Price Change, Operating, before Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:to="lab_us-gaap_RealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateComponentDomain_019e6638-c4ec-7f3c-b474-bff4212adbd9_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateComponentDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Covenant Period [Domain]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentDomain_label_en-US" xlink:label="lab_obdc_DebtVariableRateComponentDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component [Domain]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentDomain_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateComponentDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateComponentDomain" xlink:href="obdc-20260630.xsd#obdc_DebtVariableRateComponentDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateComponentDomain" xlink:to="lab_obdc_DebtVariableRateComponentDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BenchmarkRateMember_019e6638-c591-7227-9805-c02cde83acb5_terseLabel_en-US" xlink:label="lab_obdc_BenchmarkRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Benchmark Rate</link:label>
    <link:label id="lab_obdc_BenchmarkRateMember_label_en-US" xlink:label="lab_obdc_BenchmarkRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Benchmark Rate [Member]</link:label>
    <link:label id="lab_obdc_BenchmarkRateMember_documentation_en-US" xlink:label="lab_obdc_BenchmarkRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Benchmark Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BenchmarkRateMember" xlink:href="obdc-20260630.xsd#obdc_BenchmarkRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BenchmarkRateMember" xlink:to="lab_obdc_BenchmarkRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConsolidationPolicyTextBlock_019e6638-c591-741e-bf04-d1629c9e5705_terseLabel_en-US" xlink:label="lab_us-gaap_ConsolidationPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Consolidation</link:label>
    <link:label id="lab_us-gaap_ConsolidationPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_ConsolidationPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Consolidation, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConsolidationPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConsolidationPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConsolidationPolicyTextBlock" xlink:to="lab_us-gaap_ConsolidationPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyPortfolioTurnover_019e6638-c591-76b5-8a61-2bf7ba92eaed_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyPortfolioTurnover" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Portfolio turnover rate</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyPortfolioTurnover_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyPortfolioTurnover" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Portfolio Turnover</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyPortfolioTurnover" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyPortfolioTurnover"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyPortfolioTurnover" xlink:to="lab_us-gaap_InvestmentCompanyPortfolioTurnover" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnamortizedDebtIssuanceExpense_019e6638-c590-78c2-a87c-4bbb285982be_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_UnamortizedDebtIssuanceExpense" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Unamortized Debt Issuance Costs</link:label>
    <link:label id="lab_us-gaap_UnamortizedDebtIssuanceExpense_label_en-US" xlink:label="lab_us-gaap_UnamortizedDebtIssuanceExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unamortized Debt Issuance Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnamortizedDebtIssuanceExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UnamortizedDebtIssuanceExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnamortizedDebtIssuanceExpense" xlink:to="lab_us-gaap_UnamortizedDebtIssuanceExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ValuationTechniqueDiscountedCashFlowMember_019e6638-c4ec-7ea7-a7e4-b9b3459f365b_terseLabel_en-US" xlink:label="lab_us-gaap_ValuationTechniqueDiscountedCashFlowMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Discounted Cash Flow Analysis</link:label>
    <link:label id="lab_us-gaap_ValuationTechniqueDiscountedCashFlowMember_label_en-US" xlink:label="lab_us-gaap_ValuationTechniqueDiscountedCashFlowMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique, Discounted Cash Flow [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ValuationTechniqueDiscountedCashFlowMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ValuationTechniqueDiscountedCashFlowMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ValuationTechniqueDiscountedCashFlowMember" xlink:to="lab_us-gaap_ValuationTechniqueDiscountedCashFlowMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StatementTable_019e6638-c590-7e83-a195-8103fb284032_terseLabel_en-US" xlink:label="lab_us-gaap_StatementTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statement [Table]</link:label>
    <link:label id="lab_us-gaap_StatementTable_label_en-US" xlink:label="lab_us-gaap_StatementTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementTable" xlink:to="lab_us-gaap_StatementTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresLineItems_019e6638-c427-7722-8fb7-bfe82ff94eee_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Instruments and Hedging Activities Disclosures [Line Items]</link:label>
    <link:label id="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresLineItems_label_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Instruments and Hedging Activities Disclosures [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresLineItems" xlink:to="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeAsset_019e6638-c4ec-732f-9aac-4ef2537791d1_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeAsset" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Assets</link:label>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeAsset_label_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeAsset" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Asset, Subject to Master Netting Arrangement, before Offset</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeFairValueOfDerivativeAsset" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeFairValueOfDerivativeAsset"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeFairValueOfDerivativeAsset" xlink:to="lab_us-gaap_DerivativeFairValueOfDerivativeAsset" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXIVIssuerMember_019e6638-c4ec-7866-9b48-b676a27021cd_verboseLabel_en-US" xlink:label="lab_obdc_CLOXIVIssuerMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">CLO XIV Issuer</link:label>
    <link:label id="lab_obdc_CLOXIVIssuerMember_label_en-US" xlink:label="lab_obdc_CLOXIVIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO XIV Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOXIVIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOXIVIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO XIV Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXIVIssuerMember" xlink:href="obdc-20260630.xsd#obdc_CLOXIVIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXIVIssuerMember" xlink:to="lab_obdc_CLOXIVIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestIncomeOperatingPaidInKindPercentageOfInvestmentIncome_019e6638-c4eb-752b-8c98-3656747a1e14_terseLabel_en-US" xlink:label="lab_obdc_InterestIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">PIK Interest Income as a % of Investment Income</link:label>
    <link:label id="lab_obdc_InterestIncomeOperatingPaidInKindPercentageOfInvestmentIncome_label_en-US" xlink:label="lab_obdc_InterestIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Income Operating Paid In Kind, Percentage of Investment Income</link:label>
    <link:label id="lab_obdc_InterestIncomeOperatingPaidInKindPercentageOfInvestmentIncome_documentation_en-US" xlink:label="lab_obdc_InterestIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Income Operating Paid In Kind, Percentage of Investment Income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:href="obdc-20260630.xsd#obdc_InterestIncomeOperatingPaidInKindPercentageOfInvestmentIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:to="lab_obdc_InterestIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeBasisSpreadOnVariableRate_019e6638-c4ec-7691-8b56-ad4ee78af5d7_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeBasisSpreadOnVariableRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Basis spread on variable rate</link:label>
    <link:label id="lab_us-gaap_DerivativeBasisSpreadOnVariableRate_label_en-US" xlink:label="lab_us-gaap_DerivativeBasisSpreadOnVariableRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative, Basis Spread on Variable Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeBasisSpreadOnVariableRate" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeBasisSpreadOnVariableRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeBasisSpreadOnVariableRate" xlink:to="lab_us-gaap_DerivativeBasisSpreadOnVariableRate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashHeldInForeignCurrencyAcquisitionCost_019e6638-c4ec-78c4-a696-0e5d90eeb57b_terseLabel_en-US" xlink:label="lab_us-gaap_CashHeldInForeignCurrencyAcquisitionCost" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign cash, cost</link:label>
    <link:label id="lab_us-gaap_CashHeldInForeignCurrencyAcquisitionCost_label_en-US" xlink:label="lab_us-gaap_CashHeldInForeignCurrencyAcquisitionCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalent, Held in Foreign Currency, Acquisition Cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashHeldInForeignCurrencyAcquisitionCost" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashHeldInForeignCurrencyAcquisitionCost"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashHeldInForeignCurrencyAcquisitionCost" xlink:to="lab_us-gaap_CashHeldInForeignCurrencyAcquisitionCost" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealized_019e6638-c4ec-7c82-bdfc-b37b2f8aabfa_verboseLabel_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealized" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Translation of assets and liabilities in foreign currencies and other transactions</link:label>
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