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Equity-Based Compensation - Assumptions used in Determining the Fair Value (Details) - $ / shares
6 Months Ended 12 Months Ended
Jul. 29, 2021
Feb. 16, 2021
Jun. 30, 2024
Dec. 31, 2023
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      
Employee Stock | 2021 Employee Stock Purchase Plan        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Volatility     122.90%  
Risk-free interest rate     5.30%  
Expected time to exit (in years)     6 months 6 months
Price of common stock on the grant date (in usd per share)     $ 1.50  
Expected annual dividend yield     0.00% 0.00%
Fair value of the Stock Options on the grant date (in usd per share)     $ 0.74  
Employee Stock | 2021 Employee Stock Purchase Plan | Minimum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Volatility       94.90%
Risk-free interest rate       5.30%
Price of common stock on the grant date (in usd per share)       $ 1.80
Fair value of the Stock Options on the grant date (in usd per share)       $ 0.75
Employee Stock | 2021 Employee Stock Purchase Plan | Maximum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Volatility       162.20%
Risk-free interest rate       5.40%
Price of common stock on the grant date (in usd per share)       $ 2.09
Fair value of the Stock Options on the grant date (in usd per share)       $ 1.23