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Recurring Fair Value Measurements (Tables) - Armada Acquisition Corp I [Member] | 6 Months Ended | 9 Months Ended | 12 Months Ended
--- | --- | --- | ---
Mar. 31, 2024 | Jun. 30, 2024 | Sep. 30, 2023
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |
Summary of debt securities held to maturity one amortized cost to fair value one |  |  | Funds in the Company’s Trust Account were held in an interest bearing demand deposit account of September 30, 2023 and measured as Level 1 in the hierarchy of fair value measurements with carrying value approximating fair value.
|  | Carrying Value as of September 30, 2023 |  |  | Gross Unrealized Gains |  |  | Gross Unrealized Losses |  |  | Fair Value as of September 30, 2023 |
Interest bearing demand deposit account |  | $ | 25,324,028 |  |  | $ | — |  |  | $ | — |  |  | $ | 25,324,028 |
Summary of fair value measurements with carrying value approximating fair value | Funds in the Company’s Trust Account were held in an interest-bearing demand deposit account as of March 31, 2024 and September 30, 2023 and classified as Level 1 in the hierarchy of fair value measurements with carrying value approximating fair value.
|  | March 31, 2024 |  |  | December 31, 2023 |
|  | Level |  |  | Amount |  |  | Level |  |  | Amount |
Assets: |  |  |  |  |  |  |  |  |  |  |  |
Interest-bearing demand deposit account |  |  | 1 |  |  | $ | 15,771,190 |  |  |  | 1 |  |  | $ | 25,324,028 |
| Funds in the Company’s Trust Account were held in an interest-bearing demand deposit account as of June 30, 2024 and September 30, 2023 and classified as Level 1 in the hierarchy of fair value measurements with carrying value approximating fair value.
|  | June 30, 2024 |  |  | September 30, 2023 |
|  | Level |  |  | Amount |  |  | Level |  |  | Amount |
Assets: |  |  |  |  |  |  |  |  |  |  |  |
Interest-bearing demand deposit account |  |  | 1 |  |  | $ | 16,126,337 |  |  |  | 1 |  |  | $ | 25,324,028 |
| Funds in the Company’s Trust Account were invested in U.S. Treasury securities as of September 30, 2022, and classified as held-to-maturity and Level 1 in the hierarchy of fair value measurements as follows:
|  | Carrying Value as of September 30, 2022 |  |  | Gross Unrealized Gains |  |  | Gross Unrealized Losses |  |  | Fair Value as of September 30, 2022 |
Cash |  | $ | 320 |  |  | $ | — |  |  | $ | — |  |  | $ | 320 |
U.S. Treasury Bills |  |  | 150,844,605 |  |  |  | 19,242 |  |  |  | — |  |  |  | 150,863,847 |
|  | $ | 150,844,925 |  |  | $ | 19,242 |  |  | $ | — |  |  | $ | 150,864,167 |

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