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Equity-Based Compensation - Assumptions used in Determining the Fair Value (Details) - $ / shares
3 Months Ended
Dec. 01, 2022
Dec. 07, 2021
Jul. 29, 2021
Feb. 16, 2021
Mar. 31, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number of Stock Options granted (in shares)         2,148,274
Fair value of the Stock Options on the grant date (in usd per share)         $ 1.84
Class B Units          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Volatility       57.00%  
Risk-free interest rate       0.10%  
Expected time to exit (in years)       1 year 7 months 6 days  
Incentive Units | Class B Unit Incentive Plan          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Volatility     46.00%    
Risk-free interest rate     0.20%    
Expected time to exit (in years)     1 year 2 months 12 days    
Stock Options          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Risk-free interest rate   3.40%      
Number of Stock Options granted (in shares)   2,148,274      
Price of common stock on the grant date (in usd per share)   $ 1.93      
Expected volatility, minimum   96.80%      
Expected volatility, maximum   97.00%      
Expected annual dividend yield   0.00%      
Stock Options | Minimum          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Expected time to exit (in years)   5 years 9 months 18 days      
Fair value of the Stock Options on the grant date (in usd per share)   $ 1.51      
Stock Options | Maximum          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Expected time to exit (in years)   6 years 2 months 12 days      
Fair value of the Stock Options on the grant date (in usd per share)   $ 1.53      
Employee Stock | 2021 Employee Stock Purchase Plan          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Volatility 110.00%        
Risk-free interest rate 4.60%        
Expected time to exit (in years) 6 months        
Price of common stock on the grant date (in usd per share) $ 0.88        
Expected annual dividend yield 0.00%        
Fair value of the Stock Options on the grant date (in usd per share) $ 0.40