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ORGANIZATION, BUSINESS OPERATIONS AND LIQUIDITY (Details) |  |  |  |  |  |  |  | 1 Months Ended | 12 Months Ended |  |  |
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Mar. 26, 2024 shares | Jan. 19, 2024 item | Nov. 16, 2023 $ / shares shares | Nov. 07, 2023 USD ($) $ / shares shares | Nov. 02, 2023 USD ($) D $ / shares shares | May 04, 2023 USD ($) $ / shares shares | Nov. 08, 2021 USD ($) $ / shares shares | Apr. 30, 2023 $ / shares shares | Dec. 31, 2023 USD ($) D $ / shares shares | Dec. 31, 2022 USD ($) $ / shares shares | Mar. 31, 2024 USD ($) $ / shares shares | May 03, 2022 USD ($) | Dec. 31, 2021 shares
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 |  |  |  |  |  |

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