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Stockholders' Equity (Successor) - Narrative (Details)
 5 Months Ended 12 Months Ended
Feb. 14, 2024
USD ($)
$ / shares
shares
Aug. 31, 2023
USD ($)
$ / shares
Aug. 29, 2023
USD ($)
$ / shares
shares
Mar. 02, 2023
USD ($)
$ / shares
Jun. 30, 2024
Day
$ / shares
shares
Dec. 31, 2023
USD ($)
$ / shares
shares
Dec. 31, 2022
USD ($)
$ / shares
shares
Feb. 15, 2024
$ / shares
Feb. 12, 2024
$ / shares
shares
Aug. 22, 2023
shares
Jun. 30, 2023
shares
Feb. 27, 2023
shares
Feb. 23, 2023
shares
Dec. 31, 2021
shares
Class of Stock [Line Items]                            
Preferred stock par value (in dollars per share) | $ / shares         $ 0.0001                  
Preferred stock authorized (in shares)         1,000,000                  
Preferred stock issued (in shares)         0                  
Preferred stock outstanding (in shares)         0                  
Common stock par value (in dollars per share) | $ / shares $ 0.0001       $ 0.0001     $ 0.0001            
Common stock authorized (in shares)         500,000,000                  
Common stock issued (in shares)         64,845,435                  
Common stock outstanding (in shares) 60,166,269       64,845,435                  
Minimum price per share of stock to transfer or sale (in dollars per share) | $ / shares         $ 12                  
Number of trading days for determining the newly issued share price | Day         20                  
Number of consecutive trading days for determining the newly issued share price | Day         30                  
Commencing period         150 days                  
Flame Acquisition Corp [Member]                            
Class of Stock [Line Items]                            
Preferred stock par value (in dollars per share) | $ / shares           $ 0.0001 $ 0.0001              
Preferred stock authorized (in shares)           1,000,000 1,000,000              
Preferred stock issued (in shares)           0 0              
Preferred stock outstanding (in shares)           0 0              
Temporary equity shares outstanding           6,104,682 28,750,000   150,823         28,750,000
Proceeds from Sale of Restricted Investments | $ $ 1,572,250 $ 24,008,096 $ 24,008,096 $ 206,121,060   $ 230,129,156 $ 0              
Temporary Equity Redemption Price Per Share | $ / shares $ 10.42 $ 10.31 $ 10.31 $ 10.15         $ 10.42          
Initial stockholders [Member]                            
Class of Stock [Line Items]                            
Common stock outstanding (in shares) 7,187,500                          
Common Class A [Member] | Flame Acquisition Corp [Member]                            
Class of Stock [Line Items]                            
Common stock par value (in dollars per share) | $ / shares           $ 0.0001 $ 0.0001              
Common stock authorized (in shares)           200,000,000 200,000,000              
Common stock issued (in shares)           7,187,500 0              
Common stock outstanding (in shares)           7,187,500 0              
Temporary equity shares outstanding     2,328,063     6,104,682 28,750,000   150,823   8,432,745 20,317,255 20,317,255  
Proceeds from Sale of Restricted Investments | $           $ 230,129,156                
Temporary Equity Redemption Price Per Share | $ / shares           $ 10.41 $ 10.1              
Common Class A [Member] | Sponser [Member] | Flame Acquisition Corp [Member]                            
Class of Stock [Line Items]                            
Common stock issued (in shares)                   7,187,500        
Common Class B [Member] | Flame Acquisition Corp [Member]                            
Class of Stock [Line Items]                            
Common stock par value (in dollars per share) | $ / shares           $ 0.0001 $ 0.0001              
Common stock authorized (in shares)           20,000,000 20,000,000              
Common stock issued (in shares)           0 7,187,500              
Common stock outstanding (in shares)           0 7,187,500              
Common Class B [Member] | Sponser [Member] | Flame Acquisition Corp [Member]                            
Class of Stock [Line Items]                            
Common stock outstanding (in shares)                   0        
Common Class B [Member] | Determination Of Price Of Class A Common Stock For A Certain Period Based On Which Lock In Period Of Class B Common Stock Will Be Determined [Member] | Flame Acquisition Corp [Member]                            
Class of Stock [Line Items]                            
Share price | $ / shares           $ 12                
Number of trading days for determining the share price           20 days                
Number of consecutive trading days for determining the share price           30 days                
Waiting period after which price of share is determined post business combination           150 days