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Significant Accounting Policies - Summary of common stock reflected in the balance sheets are reconciled (Details) - Armada Acquisition Corp I [Member] - USD ($)
1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Feb. 15, 2024
Feb. 09, 2024
Aug. 02, 2023
Aug. 31, 2023
Mar. 31, 2024
Dec. 31, 2023
Jun. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Gross Proceeds                 $ 150,000,000
Proceeds allocated to Public Warrants                 (11,700,000)
Issuance costs related to common stock                 (3,261,589)
Remeasurement of carrying value to redemption value $ 10,384,496 $ 10,384,496       $ 467,884   $ 3,943,038 14,961,589
Subsequent remeasurement of carrying value to redemption value – Trust interest income (excluding the amount that can be withdrawn from Trust Account for taxes)                 548,862
Common stock subject to possible redemption         $ 15,747,446 $ 25,784,690 $ 16,040,786 25,316,806 150,548,862
Redemptions         (10,384,496)   (10,384,496) $ (129,175,094) $ (129,175,094)
As filed [Member]                  
Remeasurement of carrying value to redemption value     $ 12,095,215 $ 12,095,215 $ 347,252   $ 1,108,476