Income Taxes - The Income tax provision (Details) - USD ($) |
3 Months Ended | 6 Months Ended | 9 Months Ended | 12 Months Ended | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Jun. 30, 2024 |
Mar. 31, 2024 |
Dec. 31, 2023 |
Jun. 30, 2023 |
Mar. 31, 2023 |
Dec. 31, 2022 |
Jun. 30, 2024 |
Mar. 31, 2024 |
Jun. 30, 2023 |
Mar. 31, 2023 |
Jun. 30, 2024 |
Jun. 30, 2023 |
Dec. 31, 2023 |
Sep. 30, 2023 |
Dec. 31, 2022 |
Sep. 30, 2022 |
|
| State | ||||||||||||||||
| Income tax expense | $ (59,870) | $ (63,408) | $ 63,408 | $ 38,765 | ||||||||||||
| Armada Acquisition Corp I [Member] | ||||||||||||||||
| Federal | ||||||||||||||||
| Current | $ 615,284 | $ 145,621 | ||||||||||||||
| Deferred | (198,808) | (336,741) | ||||||||||||||
| State | ||||||||||||||||
| Current | 0 | 0 | ||||||||||||||
| Deferred | 0 | 0 | ||||||||||||||
| Change in valuation allowance | 198,808 | 336,741 | ||||||||||||||
| Income tax expense | $ 38,407 | $ 47,080 | $ 67,834 | $ 82,376 | $ 182,853 | $ 260,331 | $ 114,914 | $ 443,184 | $ 153,321 | $ 525,560 | $ 615,284 | $ 145,621 | ||||
| X | ||||||||||
- Definition Amount of current federal tax expense (benefit) attributable to income (loss) from continuing operations. Includes, but is not limited to, current national tax expense (benefit) for non-US (United States of America) jurisdiction. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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| X | ||||||||||
- Definition Amount of current state and local tax expense (benefit) attributable to income (loss) from continuing operations. Includes, but is not limited to, current regional, territorial, and provincial tax expense (benefit) for non-US (United States of America) jurisdiction. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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| X | ||||||||||
- Definition Amount of deferred federal tax expense (benefit) attributable to income (loss) from continuing operations. Includes, but is not limited to, deferred national tax expense (benefit) for non-US (United States of America) jurisdiction. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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| X | ||||||||||
- Definition Amount of deferred state and local tax expense (benefit) attributable to income (loss) from continuing operations. Includes, but is not limited to, deferred regional, territorial, and provincial tax expense (benefit) for non-US (United States of America) jurisdiction. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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| X | ||||||||||
- References No definition available.
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| X | ||||||||||
- Definition Amount of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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| X | ||||||||||
- Definition Amount of income tax expense (benefit) from continuing operations attributable to an adjustment of a deferred tax liability or asset for enacted changes in tax laws or rates or a change in the tax status of the entity. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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| X | ||||||||||
- References No definition available.
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- Details
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