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Private Placement (Details) - USD ($)
$ / shares in Units, $ in Millions
Jan. 28, 2021
Mar. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Private placement        
Number of shares issuable per warrant   1    
Exercise price of warrants   $ 11.50    
DiamondHead Holdings Corp. | Private Placement Warrants        
Private placement        
Sale of Private Placement Warrants (in shares)       5,933,333
DiamondHead Holdings Corp. | Private Placement Warrants | Class A common stock        
Private placement        
Number of shares issuable per warrant     1  
Exercise price of warrants     $ 11.50  
DiamondHead Holdings Corp. | Private Placement | Private Placement Warrants        
Private placement        
Sale of Private Placement Warrants (in shares) 5,933,333      
Price of warrants $ 1.50      
Cash consideration for issuance of warrants $ 8.9