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Organization and Nature of Operations - Additional Information (Details) - USD ($)
Aug. 13, 2023
Dec. 31, 2023
Aug. 25, 2023
Jun. 30, 2023
Dec. 28, 2022
Jun. 30, 2022
Organization and Nature of Operations [Line Items]            
Ordinary Stock, Par value   $ 0.0001   $ 0.0001 $ 0.0001 $ 0.0001
Common stock value   $ 13,542 [1]   $ 12,679 [1]   $ 12,143
Forward purchase receivable $ 21,299,979 $ 21,299,979        
Class A Common Stock            
Organization and Nature of Operations [Line Items]            
New share issuances, shares 1,999,998          
Forward purchase shares $ 10.65          
Prime Number Acquisition I Corp | Subsequent Event            
Organization and Nature of Operations [Line Items]            
Ordinary Stock, Par value     $ 0.0001      
Common stock value     $ 1,350,000,000      
Prime Number Acquisition I Corp | Subsequent Event | Class A Common Stock            
Organization and Nature of Operations [Line Items]            
Ordinary Stock, Par value     $ 0.0001      
Prime Number Acquisition I Corp | Subsequent Event | Class B Common Stock            
Organization and Nature of Operations [Line Items]            
Ordinary Stock, Par value     $ 0.0001      
[1]

* Shares and per share data are presented on a retroactive basis to give effect to the reverse recapitalization.