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SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES - Common Stock Subject to Possible Redemption (Details) - USD ($)	12 Months Ended
	Dec. 31, 2023	Dec. 31, 2022	Dec. 31, 2021
SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES
Class A common stock subject to possible redemption			$ 382,288,000
Increase in redemption value of shares subject to possible redemption	$ 0	$ (2,237,000)
CONCORD ACQUISITION CORP III
SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES
Class A common stock subject to possible redemption (Shares)	3,941,361	34,500,000	34,500,000
Class A common stock subject to possible redemption	$ 42,411,740	$ 355,643,935	$ 351,900,000
Increase in redemption value of shares subject to possible redemption	$ (5,209,575)	(3,743,935)
Decrease due to share redemption (Shares)	(30,558,639)
Decrease due to share redemption	$ (318,441,770)
CONCORD ACQUISITION CORP III | Class A common stock subject to possible redemption
SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES
Class A common stock subject to possible redemption	$ 42,411,740	$ 355,643,935

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Amount of decrease due to net income for accretion of temporary equity to its amount redemption value to derive net income apportioned to common stockholders.

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Amount of decrease due to net income for accretion of temporary equity to its shares redemption value to derive net income apportioned to common stockholders.

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Number of shares of stock issued as of the balance sheet date, including shares that had been issued and were previously outstanding but which are now held in the treasury.

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Carrying amount, attributable to parent, of an entity's issued and outstanding stock which is not included within permanent equity. Temporary equity is a security with redemption features that are outside the control of the issuer, is not classified as an asset or liability in conformity with GAAP, and is not mandatorily redeemable. Includes any type of security that is redeemable at a fixed or determinable price or on a fixed or determinable date or dates, is redeemable at the option of the holder, or has conditions for redemption which are not solely within the control of the issuer. Includes stock with a put option held by an ESOP and stock redeemable by a holder only in the event of a change in control of the issuer.

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