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Equity-Based Compensation - Summary of Company's Restricted Stock Unit Activity (Details) - $ / shares
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Granted 0 0 0
Weighted Average Exercise Price, Outstanding at September 30, 2024 $ 19.37    
Forfeited, weighted average exercise price 21.64    
Weighted Average Exercise Price, Outstanding at September 30, 2025 $ 19.11 $ 19.37  
Restricted Stock Units (RSU) [Member]      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Beginning balance, Outstanding 3,714,000    
Granted 825,000    
Vested 1,522,000    
Forfeited 238,000    
Ending balance, Outstanding 2,779,000 3,714,000  
Weighted Average Exercise Price, Outstanding at September 30, 2024 $ 8.5    
Granted, weighted average exercise price 16.51    
Vested, weighted average exercise price 8.72    
Forfeited, weighted average exercise price 11.58    
Weighted Average Exercise Price, Outstanding at September 30, 2025 $ 10.51 $ 8.5