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Share-Based Payments - Narrative (Details)
$ in Thousands
 3 Months Ended 9 Months Ended 12 Months Ended
Jun. 08, 2023
USD ($)
shares
Sep. 30, 2023
USD ($)
shares
Sep. 30, 2023
USD ($)
shares
Dec. 31, 2022
USD ($)
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Remaining Compensation Cost | $ $ 6,788 $ 3,300 $ 3,300 $ 9,312
Share-based payment arrangement, nonvested award, cost not yet recognized, period for recognition     3 years 1 year
Restricted Stock Units (RSUs)        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Remaining Compensation Cost | $   $ 5,491 $ 5,491  
Share-based payment arrangement, nonvested award, cost not yet recognized, period for recognition     3 years  
OpCo        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Accelerated (in shares) 30,000      
Share-based payment arrangement, accelerated cost | $ $ 1,624      
Share-based compensation arrangement by share-based payment award, equity instruments other than options, forfeited in period (in shares) 30,000      
BHES        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Gain (loss) on stock issued during period, value, issued for services | $ $ 17,500      
Gain (loss) on stock issued during period, value, issued for services, inception-to-date | $ $ 2,053      
Class A Common Stock | OpCo        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Stock issued during period, shares, acquisitions (in shares) 451,356      
Shares issued, shares, share-based payment arrangement, forfeited (in shares) 324,625      
Class A Common Stock | BHES        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Stock issued during period, shares, conversion of units (in shares) 1,500,265      
Class B ordinary shares | OpCo        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Stock issued during period, shares, acquisitions (in shares) 451,356      
Shares issued, shares, share-based payment arrangement, forfeited (in shares) 324,625      
Class B ordinary shares | BHES        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Stock issued during period, shares, conversion of units (in shares) 1,500,265      
Omnibus Incentive Plan | Restricted Stock Units (RSUs)        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Share-based payment, number of shares authorized (in shares)   440,424 440,424  
Share-based payments, award vesting period   3 years    
Omnibus Incentive Plan | Class A Common Stock        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Shares reserved for future issuance, percentage   0.05 0.05  
Shares reserved for future issuance, annual increase, percentage   20,468,545 20,468,545  
Joint Development Agreement | BHES        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Stock issued during period, shares, acquisitions (in shares) 47,000