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Initial Public Offering (Details) - USD ($)
12 Months Ended
Aug. 10, 2022
Jan. 28, 2021
Dec. 31, 2022
Dec. 31, 2021
Mar. 31, 2023
Initial Public Offering          
Number of shares issuable per warrant         1
Exercise price of warrants         $ 11.50
DiamondHead Holdings Corp.          
Initial Public Offering          
Number of units sold   4,500,000      
Proceeds received from initial public offering, gross       $ 345,000,000  
Deferred underwriting commissions   $ 12,100,000   $ 12,075,000  
Deferred underwriting commissions waived $ 12,100,000        
DiamondHead Holdings Corp. | Class A common stock          
Initial Public Offering          
Number of class A common stock in a unit     1    
DiamondHead Holdings Corp. | Public Warrants          
Initial Public Offering          
Number of warrants in a unit     0.25    
DiamondHead Holdings Corp. | Public Warrants | Class A common stock          
Initial Public Offering          
Number of shares issuable per warrant     1    
Exercise price of warrants     $ 11.50    
DiamondHead Holdings Corp. | Initial Public Offering          
Initial Public Offering          
Number of units sold   34,500,000      
Purchase price   $ 10.00      
Proceeds received from initial public offering, gross   $ 345,000,000.0      
Offering costs incurred   19,600,000      
Deferred underwriting commissions   $ 12,100,000      
DiamondHead Holdings Corp. | Over-allotment option          
Initial Public Offering          
Number of units sold   4,500,000