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ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY (Details)
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Mar. 26, 2024
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ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Promissory note - related party                 $ 108,000 $ 76,000 $ 72,000    
Conversion price | $ / shares                 $ 3.50        
Common stock, par value (in dollars per share) | $ / shares                 $ 0.0001 $ 0.0001 $ 0.0001    
Common stock subject to possible redemption shares outstanding | shares                         73,259,663
Shares agreed to sell | shares                 5,902,000   33,167,000    
Cash                 $ 258,000 $ 1,398,000 $ 16,122,000    
CONCORD ACQUISITION CORP III                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Condition for future business combination number of businesses minimum                 1        
Purchase price, per unit | $ / shares             $ 10.00   $ 10.20        
Proceeds received from initial public offering, gross             $ 345,000,000            
Aggregate amount                 $ 6,900,000        
Promissory note - related party                 $ 35,000        
Conversion price | $ / shares                 $ 1.00        
Condition for future business combination use of proceeds percentage                 80        
Condition for future business combination threshold percentage ownership                 50        
Obligation to redeem public shares if entity does not complete a business combination (as a percent)                 100.00%        
Redemption of shares calculated based on business days prior to consummation of business combination (in days)                 2 days        
Aggregate of shares | shares               999,665          
Stockholders of number of shares who exercised their right to redeem shares | shares 3,766,000               30,558,639        
Redemption price per share | $ / shares       $ 10.70   $ 10.42              
Aggregate redemption amount       $ 1,100,000   $ 317,000,000              
Trust Account       $ 42,200,000                  
Common stock subject to possible redemption shares outstanding | shares       3,941,361                  
Deferred underwriters commission                 $ 6,991,425        
Gross proceeds                 $ 5,083,575 12,075,000      
Maximum threshold period for registration statement to become effective after business combination         60 days                
Percentage of gross proceeds on total equity proceeds         60                
Redemption period upon closure                 10 days        
Maximum allowed dissolution expenses                 $ 100,000        
Cash                 16,371 521,149      
Payment for dissolution expenses                 100,000        
Marketable securities and cash held in Trust Account           $ 42,000,000     42,406,594 356,190,233      
Net proceeds from ipo, private placement and sponsor loans                 351,900,000        
Cash withdrawn from trust account to pay taxes                 $ 2,137,351 822,658      
Holders of number of shares who exercised their right to redeem shares | shares 3,766,000               30,558,639        
Reimbursement of expenses                 $ 413,529 0      
Offset reported expenses                 709,970 0      
Expense reimbursement receivable                 296,441 $ 0      
CONCORD ACQUISITION CORP III | Subsequent Events                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Minimum stockholders on a continuous basis | item   300                      
CONCORD ACQUISITION CORP III | Volume weighted average price [Member]                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Aggregate of shares | shares         20,000,000                
CONCORD ACQUISITION CORP III | VWAP greater or equals to 12.50                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Unvested shares upon completion of business combination | shares         6,666,667                
Stock price trigger to transfer, assign or sell any shares or warrants of the company, after the completion of the initial business combination (in dollars per share) | $ / shares         $ 12.50                
Threshold trading days for transfer, assign or sale of shares or warrants, after the completion of the initial business combination | D         20                
Threshold consecutive trading days for transfer, assign or sale of shares or warrants, after the completion of the initial business combination | D         30                
CONCORD ACQUISITION CORP III | VWAP greater or equals to 15.00                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Unvested shares upon completion of business combination | shares         6,666,666                
Stock price trigger to transfer, assign or sell any shares or warrants of the company, after the completion of the initial business combination (in dollars per share) | $ / shares         $ 15.00                
CONCORD ACQUISITION CORP III | VWAP greater or equals to 17.50                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Unvested shares upon completion of business combination | shares         6,666,667                
Stock price trigger to transfer, assign or sell any shares or warrants of the company, after the completion of the initial business combination (in dollars per share) | $ / shares         $ 17.50                
CONCORD ACQUISITION CORP III | Promissory Note with Related Party                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Aggregate amount                       $ 350,000  
Promissory note - related party                 $ 35,000        
CONCORD ACQUISITION CORP III | Class B common stock                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Common stock, par value (in dollars per share) | $ / shares     $ 0.0001         $ 0.0001 $ 0.0001 $ 0.0001      
Stock price trigger to transfer, assign or sell any shares or warrants of the company, after the completion of the initial business combination (in dollars per share) | $ / shares                 $ 12.00        
Threshold trading days for transfer, assign or sale of shares or warrants, after the completion of the initial business combination | D                 20        
Threshold consecutive trading days for transfer, assign or sale of shares or warrants, after the completion of the initial business combination | D                 30        
Conversion of Class B common stock to Class A common stock (in shares) | shares     8,624,999                    
CONCORD ACQUISITION CORP III | Class A common stock                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Sale of private placement warrants (in shares) | shares                 33,550,000        
Common stock, par value (in dollars per share) | $ / shares     $ 0.0001           $ 0.0001 $ 0.0001      
Stockholders of number of shares who exercised their right to redeem shares | shares       98,573   30,460,066              
Issue price per share | $ / shares         $ 9.20                
Adjustment of exercise price of warrants based on market value and newly issued price (as a percent)         115                
Conversion of Class B common stock to Class A common stock (in shares) | shares     8,624,999                    
Holders of number of shares who exercised their right to redeem shares | shares       98,573   30,460,066              
CONCORD ACQUISITION CORP III | Class A common stock subject to possible redemption                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Common stock subject to possible redemption shares outstanding | shares                 3,941,361 34,500,000      
CONCORD ACQUISITION CORP III | Warrants | Class A common stock                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Purchase price, per unit | $ / shares                 $ 11.50        
CONCORD ACQUISITION CORP III | Public Warrants                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Stock price trigger for redemption of public warrants (in dollars per share) | $ / shares         $ 18.00                
Adjustment one of redemption price of stock based on market value and newly issued price (as a percent)         180.00%                
CONCORD ACQUISITION CORP III | Sponsor Loan Warrants                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Number of shares to be issued at closing | shares         1,399,107                
CONCORD ACQUISITION CORP III | Initial Public Offering                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Number of units issued | shares             34,500,000            
Purchase price, per unit | $ / shares                 $ 10.76        
Gross proceeds                 $ 5,083,575        
CONCORD ACQUISITION CORP III | Private Placement | Class A common stock                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Shares agreed to sell | shares         4,484,854                
CONCORD ACQUISITION CORP III | Private Placement | Class A common stock | PIPE Subscription Agreement                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Purchase price per share | $ / shares         $ 6.67                
Aggregate purchase price         $ 29,900,000                
Aggregate number of shares agreed to allocate by Sponsor | shares         781,961                
CONCORD ACQUISITION CORP III | Private Placement | Private Placement Warrants                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Price of warrant | $ / shares             $ 1.00            
Proceeds from issuance of private placement warrants             $ 9,400,000            
CONCORD ACQUISITION CORP III | Over-allotment option                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Number of units issued | shares             4,500,000            
CONCORD ACQUISITION CORP III | Sponsor Earnout Shares [Member]                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Proceeds from issuance of private placement warrants         $ 169,200                
Aggregate transaction consideration share price | $ / shares         $ 10.00                
Company value amount         $ 350,000,000                
Number of shares to be unvested and subject to forfeiture as of the closing to certain earn-out shares | shares         1,920,375                
Number of shares to be private placement warrants issued at closing | shares         2,820,000       2,820,000        
CONCORD ACQUISITION CORP III | Sponsor | Sponsor Loan Warrants                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Aggregate amount             $ 6,900,000            
Conversion price | $ / shares             $ 1.00            
CONCORD ACQUISITION CORP III | Sponsor | Initial Public Offering                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Aggregate amount                 $ 6,900,000        
CONCORD ACQUISITION CORP III | Sponsor | Private Placement | Private Placement Warrants                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Sale of private placement warrants (in shares) | shares             8,260,606            
CONCORD ACQUISITION CORP III | CA2 Co-Investment LLC | Private Placement | Private Placement Warrants                          
ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY                          
Sale of private placement warrants (in shares) | shares             1,139,394