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Net Loss per Share/Unit - Schedule of Antidilutive Securities Excluded From Computation of Earnings Per Share (Successor) (Details) - shares
5 Months Ended 6 Months Ended
Jun. 07, 2023
Jun. 30, 2024
Jun. 30, 2023
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Antidilutive securities excluded from computation of earnings per share (in shares) 119,076 169,415,322 166,729,560
Public Warrants      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Antidilutive securities excluded from computation of earnings per share (in shares)   8,621,535 8,624,974
Private Placement Warrants      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Antidilutive securities excluded from computation of earnings per share (in shares)   10,900,000 10,900,000
Earnout Shares      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Antidilutive securities excluded from computation of earnings per share (in shares)   328,925 986,775
BHES Bonus Shares      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Antidilutive securities excluded from computation of earnings per share (in shares)   2,068,416 2,068,416
Common Stock | Unvested Class A OpCo Units      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Antidilutive securities excluded from computation of earnings per share (in shares)   241,670 1,119,198
Common Stock | Class A Common Stock      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Antidilutive securities excluded from computation of earnings per share (in shares)   142,476,116 136,392,072
Common Stock | Class B Common Stock      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Antidilutive securities excluded from computation of earnings per share (in shares)   0 6,638,125
Unvested RSUs      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Antidilutive securities excluded from computation of earnings per share (in shares)   933,590 0
Unvested PSUs      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Antidilutive securities excluded from computation of earnings per share (in shares)   127,710 0
Make-Whole Awards      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Antidilutive securities excluded from computation of earnings per share (in shares)   1,257,467 0
Stock Options      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Antidilutive securities excluded from computation of earnings per share (in shares)   2,459,893 0