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Equity-Based Compensation - Summary of Company's Restricted Stock Unit Activity (Details)
3 Months Ended
Dec. 31, 2024
$ / shares
shares
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]  
Weighted Average Exercise Price, Outstanding at September 30, 2024 $ 19.37
Forfeited, weighted average exercise price 22.24
Weighted Average Exercise Price, Outstanding at December 31, 2024 $ 19.23
Restricted Stock Units (RSU) [Member]  
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]  
Beginning balance, Outstanding | shares 3,713,000
Granted | shares 607,000
Vested | shares 841,000
Forfeited | shares 50,000
Ending balance, Outstanding | shares 3,429,000
Weighted Average Exercise Price, Outstanding at September 30, 2024 $ 8.5
Granted, weighted average exercise price 17.3
Vested, weighted average exercise price 8.58
Forfeited, weighted average exercise price 8.68
Weighted Average Exercise Price, Outstanding at December 31, 2024 $ 10.04