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STOCKHOLDERS' DEFICIT - Warrants (Details) - CONCORD ACQUISITION CORP III
12 Months Ended
Nov. 02, 2023
USD ($)
shares
Dec. 31, 2023
D
$ / shares
shares
Nov. 08, 2021
$ / shares
STOCKHOLDERS' DEFICIT      
Purchase price, per unit   $ 10.20 $ 10.00
Sponsor Earnout Shares      
STOCKHOLDERS' DEFICIT      
Number of shares to be private placement warrants issued at closing | shares 2,820,000 2,820,000  
Gain on Warrants | $ $ 169,200    
Class A common stock      
STOCKHOLDERS' DEFICIT      
Number of shares issuable per warrant | shares   1  
Warrants      
STOCKHOLDERS' DEFICIT      
Threshold trading days for redemption of public warrants   20 days  
Period of time within which registration statement is expected to become effective   60 days  
Warrants | Class A common stock      
STOCKHOLDERS' DEFICIT      
Purchase price, per unit   $ 11.50  
Warrants | Redemption of warrants when the price per share of Class A common stock equals or exceeds $18.00      
STOCKHOLDERS' DEFICIT      
Threshold trading days for redemption of public warrants   20 days  
Stock price trigger for redemption of public warrants   $ 18.00  
Redemption price per public warrant (in dollars per share)   $ 0.01  
Minimum threshold written notice period for redemption of public warrants   30 days  
Redemption period   30 days  
Threshold number of business days before sending notice of redemption to warrant holders | D   30  
Warrants | Redemption of warrants when the price per share of Class A common stock equals or exceeds $10.00      
STOCKHOLDERS' DEFICIT      
Stock price trigger for redemption of public warrants   $ 10.00  
Redemption price per public warrant (in dollars per share)   $ 0.10  
Redemption period   30 days  
Warrant redemption condition minimum share price   $ 10.00  
Number of trading days on which fair market value of shares is reported | D   30  
Warrant exercise price adjustment multiple   0.361