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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