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SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES (Tables) | 9 Months Ended | 12 Months Ended
--- | --- | ---
Sep. 30, 2023 | Dec. 31, 2022
SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES |  |
Schedule of reconciliation of Class A common stock reflected in the condensed balance sheets | ​
​ | ​ | ​ | ​
Gross proceeds |  | $ | 500,000,000
Less: | ​ |  | ​
Class A common stock issuance costs | ​ | ​ | (26,652,125)
Plus: | ​ | ​ | ​
Remeasurement of carrying value to redemption value | ​ | ​ | 31,196,812
Class A common stock subject to possible redemption, December 31, 2022 | ​ | ​ | 504,544,687
Plus: | ​ | ​ | ​
Re-Measurement of carrying value to redemption value | ​ | ​ | 12,225,559
Class A common stock subject to possible redemption, September 30, 2023 | ​ | $ | 516,770,246
| ​
​ | ​ | ​ | ​
Gross proceeds |  | $ | 500,000,000
Less: | ​ |  |
Class A common stock issuance costs | ​ | ​ | (26,652,125)
Plus: | ​ |  |
Re-Measurement of carrying value to redemption value | ​ | ​ | 26,652,125
Class A common stock subject to possible redemption, December 31, 2021 | ​ | $ | 500,000,000
Plus: | ​ | ​ | ​
Re-Measurement of carrying value to redemption value | ​ | ​ | 4,544,687
Class A common stock subject to possible redemption, December 31, 2022 | ​ | $ | 504,544,687
Schedule of calculation of basic and diluted net income per share of common stock | The following table reflects the calculation of basic and diluted net income per share of common stock (in dollars, except per share amounts):
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | For the Three Months Ended September 30, | ​ | For the Nine Months Ended September 30,
​ | ​ | 2023 | ​ | 2022 | ​ | 2023 | ​ | 2022
​ | ​ | ​ | ​ | ​ | Not | ​ | ​ | ​ | ​ | Not | ​ | ​ | ​ | Not | ​ | ​ | ​ | Not
​ | ​ | Subject | ​ | subject to | ​ | Subject | ​ | subject to | ​ | Subject | ​ | subject to | ​ | Subject | ​ | subject to
​ |  | to redemption |  | redemption |  | to redemption |  | redemption |  | to redemption |  | redemption |  | to redemption |  | redemption
Basic and diluted net income per share of common stock | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Numerator: |  | ​ |  |  | ​ |  |  | ​ |  |  |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |
Allocation of net income | ​ | $ | 1,891,104 | ​ | $ | 527,618 | ​ | $ | 1,152,565 | ​ | 321,565 | ​ | $ | 7,264,919 | ​ | $ | 2,026,913 | ​ | $ | 891,521 | ​ | $ | 248,734
Denominator: | ​ |  | ​ | ​ |  | ​ | ​ |  | ​ | ​ | ​ | ​ |  | ​ | ​ |  | ​ | ​ |  | ​ | ​ | ​ | ​
Basic and diluted weighted average shares outstanding | ​ |  | 50,000,000 | ​ |  | 13,950,000 | ​ |  | 50,000,000 | ​ | 13,950,000 | ​ |  | 50,000,000 | ​ |  | 13,950,000 | ​ |  | 50,000,000 | ​ | ​ | 13,950,000
Basic and diluted net income per share of common stock | ​ | $ | 0.04 | ​ | $ | 0.04 | ​ | $ | 0.02 | ​ | 0.02 | ​ | $ | 0.15 | ​ | $ | 0.15 | ​ | $ | 0.02 | ​ | $ | 0.02
| The following table reflects the calculation of basic and diluted net income (loss) per common share (in dollars, except per share amounts):
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | For the period from
​ | ​ | ​ | ​ | February 1,
​ | ​ | ​ | ​ | 2021 (Inception)
​ | ​ | Year Ended December 31, | ​ | Through December 31,
​ | ​ | 2022 | ​ | 2021
​ | ​ | Class A | ​ | Class B | ​ | Class A | ​ | Class B
Basic and diluted net income (loss) per common share |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |
Numerator: |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |
Allocation of net income (loss), as adjusted | ​ | $ | 3,069,406 | ​ | $ | 856,364 | ​ | $ | (729,236) | ​ | $ | (327,470)
Denominator: | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |
Basic and diluted weighted average shares outstanding | ​ |  | 50,000,000 | ​ |  | 13,950,000 | ​ |  | 28,476,821 | ​ |  | 12,787,748
Basic and diluted net income (loss) per common share | ​ | $ | 0.06 | ​ | $ | 0.06 | ​ | $ | (0.03) | ​ | $ | (0.03)

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