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Equity-Based Compensation - Stock Option Activity (Details) - $ / shares
 9 Months Ended 12 Months Ended
Sep. 30, 2023
Dec. 31, 2022
Number of options    
Outstanding as of December 31, 2022 (in shares) 857,615  
Forfeited (in shares) (88,128)  
Outstanding as of June 30, 2023 (in shares) 769,487 857,615
Weighted average exercise price    
Outstanding as of December 31, 2022 (in dollars per share) $ 12.00  
Forfeited (in dollars per share) 12.00  
Outstanding as of March 31, 2023 (in dollars per share) 12.00 $ 12.00
Weighted average exercise price    
Outstanding as of December 31, 2022 (in dollars per share) 4.27  
Forfeited (in dollars per share) 4.29  
Outstanding as of June 30, 2023 (in dollars per share) $ 4.27 $ 4.27
Weighted average remaining contractual term (years)    
Weighted average remaining contractual term 8 years 8 years 8 months 12 days
Weighted average remaining contractual term, exercisable 8 years  
Weighted average remaining contractual term, Unvested 8 years  
Weighted average remaining contractual term, vested and expected to vest 8 years  
Options, Vested and Expected to Vest    
Options exercisable (in shares) 538,030  
Options unvested (in shares) 231,457  
Options, vested and expected to vest (in shares) 769,487  
Options exercisable, weighted average exercise price (in dollars per share) $ 12.00  
Options unvested, weighted average exercise price (in dollars per share) 12.00  
Vested and expected to vest, weighted average exercise price (in dollars per share) 12.00  
Options exercisable, weighted average grant date fair value (in dollars per share) 4.26  
Options unvested, weighted average grant date fair value (in dollars per share) 4.29  
Options vested and expected to vest, weighted average grant date fair value (in dollars per share) $ 4.27