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Condensed Consolidated Statements of Changes in Redeemable Noncontrolling Interests And Stockholders’ Equity - USD ($) | Redeemable noncontrolling interests Convertible Preferred Units Previously Reported | Redeemable noncontrolling interests Convertible Preferred Units | Class B Units Previously Reported | Class B Units | Common Units Previously Reported | Common Units | Ordinary share Class V Previously Reported | Ordinary share Class V | Ordinary share Class A Esgen Acquisition Corp | Ordinary share Class A Previously Reported | Ordinary share Class A | Ordinary share Class B Esgen Acquisition Corp | Additional Paid-in Capital Esgen Acquisition Corp | Additional Paid-in Capital Previously Reported | Additional Paid-in Capital | Accumulated Deficit Esgen Acquisition Corp | Accumulated Deficit Previously Reported | Accumulated Deficit | Ordinary share subject to possible redemption Class A Esgen Acquisition Corp | Class V | Class A | Esgen Acquisition Corp | Previously Reported | Total
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Balance at Dec. 31, 2021 |  |  |  |  |  |  |  |  |  |  |  | $ 690 |  |  |  | $ (22,341,250) |  |  | $ 281,520,000 |  |  | $ (22,340,560) |  |
Balance (in Shares) at Dec. 31, 2021 |  |  |  |  |  |  |  |  |  |  |  | 6,900,000 |  |  |  |  |  |  | 27,600,000 |  |  |  |  |
Accretion of ordinary shares subject to possible redemption |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (3,986,568) |  |  | $ 3,986,568 |  |  | (3,986,568) |  |
Net income (loss) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 14,334,250 |  |  |  |  |  | 14,334,250 |  |
Balance at Dec. 31, 2022 |  |  |  |  | $ 31,155,864 |  |  | $ 3,373 |  |  |  | $ 690 |  |  | $ 31,152,491 | (11,993,568) | $ 119,982 | $ 119,982 | $ 285,506,568 |  |  | (11,992,878) | $ 31,275,846 | $ 31,275,846
Balance (in Shares) at Dec. 31, 2022 |  |  |  |  | 1,000,000 |  |  | 33,730,000 |  |  |  | 6,900,000 |  |  |  |  |  |  | 27,600,000 |  |  |  |  |
Retroactive application of Business Combination |  |  |  |  | $ (31,155,864) |  | $ 3,373 |  |  |  |  |  |  | 31,152,491 |  |  |  |  |  |  |  |  |  |
Retroactive application of Business Combination (in Shares) |  |  |  |  | (1,000,000) |  | 33,730,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stockholder distributions |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (166,323) |  |  |  |  |  | (166,323)
Net loss prior to the Business Combination |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1,612,737 |  |  |  |  |  | 1,612,737
Balance at Mar. 31, 2023 |  |  |  |  |  |  |  | $ 3,373 |  |  |  |  |  |  | 31,152,491 |  |  | 1,566,396 |  |  |  |  |  | 32,722,260
Balance (in Shares) at Mar. 31, 2023 |  |  |  |  |  |  |  | 33,730,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balance at Dec. 31, 2022 |  |  |  |  | $ 31,155,864 |  |  | $ 3,373 |  |  |  | $ 690 |  |  | 31,152,491 | (11,993,568) | 119,982 | 119,982 | $ 285,506,568 |  |  | (11,992,878) | 31,275,846 | 31,275,846
Balance (in Shares) at Dec. 31, 2022 |  |  |  |  | 1,000,000 |  |  | 33,730,000 |  |  |  | 6,900,000 |  |  |  |  |  |  | 27,600,000 |  |  |  |  |
Redemption of Class A ordinary shares subject to possible redemption |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ (272,554,813) |  |  |  |  |
Redemption of Class A ordinary shares subject to possible redemption (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (26,194,445) |  |  |  |  |
Recovery of deferred offering costs |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 9,234,960 |  |  |  |  |  | 9,234,960 |  |
Conversion of Class B ordinary shares to Class A ordinary shares |  |  |  |  |  |  |  |  | $ 562 |  |  | $ (562) |  |  |  |  |  |  |  |  |  |  |  |
Conversion of Class B ordinary shares to Class A ordinary shares (in Shares) |  |  |  |  |  |  |  |  | 5,619,077 |  |  | (5,619,077) |  |  |  |  |  |  |  |  | 1 |  |  |
Accretion of ordinary shares subject to possible redemption |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (3,066,977) |  |  | 3,066,977 |  |  | (3,066,977) |  |
Net income (loss) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (3,001,194) |  |  |  |  |  | (3,001,194) |  |
Balance at Dec. 31, 2023 |  |  |  |  | $ 31,155,864 |  |  | $ 3,373 | $ 562 |  |  | $ 128 |  |  | 31,152,491 | (8,826,779) | (533,345) | (533,345) | $ 16,018,732 |  |  | (8,826,089) | 30,622,519 | 30,622,519
Balance (in Shares) at Dec. 31, 2023 |  |  |  |  | 1,000,000 |  |  | 33,730,000 | 5,619,077 |  |  | 1,280,923 |  |  |  |  |  |  | 1,405,555 |  |  |  |  |
Balance at Mar. 31, 2023 |  |  |  |  |  |  |  | $ 3,373 |  |  |  |  |  |  | 31,152,491 |  |  | 1,566,396 |  |  |  |  |  | 32,722,260
Balance (in Shares) at Mar. 31, 2023 |  |  |  |  |  |  |  | 33,730,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stockholder distributions |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (361,319) |  |  |  |  |  | (361,319)
Net loss prior to the Business Combination |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 829,058 |  |  |  |  |  | 829,058
Balance at Jun. 30, 2023 |  |  |  |  |  |  |  | $ 3,373 |  |  |  |  |  |  | 31,152,491 |  | 1,992,528 | 2,034,135 |  |  |  |  |  | 33,189,999
Balance (in Shares) at Jun. 30, 2023 |  |  |  |  |  |  |  | 33,730,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stockholder distributions |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (2,761,876) |  |  |  |  |  | (2,761,876)
Net loss prior to the Business Combination |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 4,000,047 |  |  |  |  |  | 4,000,047
Balance at Sep. 30, 2023 |  |  |  |  |  |  |  | $ 3,373 |  |  |  |  |  |  | 31,152,491 |  | 3,200,342 | 3,272,306 |  |  |  |  |  | 34,428,170
Balance (in Shares) at Sep. 30, 2023 |  |  |  |  |  |  |  | 33,730,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balance at Dec. 31, 2023 |  |  |  |  | $ 31,155,864 |  |  | $ 3,373 | $ 562 |  |  | $ 128 |  |  | 31,152,491 | (8,826,779) | (533,345) | (533,345) | $ 16,018,732 |  |  | (8,826,089) | 30,622,519 | 30,622,519
Balance (in Shares) at Dec. 31, 2023 |  |  |  |  | 1,000,000 |  |  | 33,730,000 | 5,619,077 |  |  | 1,280,923 |  |  |  |  |  |  | 1,405,555 |  |  |  |  |
Retroactive application of Business Combination |  |  |  |  | $ (31,155,864) |  | $ 3,373 |  |  |  |  |  |  | 31,152,491 |  |  |  |  |  |  |  |  |  |
Retroactive application of Business Combination (in Shares) |  |  |  |  | (1,000,000) |  | 33,730,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stockholder distributions |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (90,000) |  |  |  |  |  | (90,000)
Net loss prior to the Business Combination |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (523,681) |  |  |  |  |  | (523,681)
Issuance of Class A Shares to third party advisors |  |  |  |  |  |  |  |  |  |  | $ 18 |  |  |  | 891,017 |  |  |  |  |  |  |  |  | 891,035
Issuance of Class A Shares to third party advisors (in Shares) |  |  |  |  |  |  |  |  |  |  | 178,207 |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of Class A Shares to backstop investor |  |  |  |  |  |  |  |  |  |  | $ 23 |  |  |  | 1,569,440 |  |  |  |  |  |  |  |  | 1,569,463
Issuance of Class A Shares to backstop investor (in Shares) |  |  |  |  |  |  |  |  |  |  | 225,174 |  |  |  |  |  |  |  |  |  |  |  |  |
Reverse Recapitalization |  | $ 6,855,076 |  |  |  |  |  | $ 150 |  |  | $ 425 |  |  |  | (1,677,860) |  |  |  |  |  |  |  |  | (1,677,285)
Reverse Recapitalization (in Shares) |  | 1,500,000 |  |  |  |  |  | 1,500,000 |  |  | 4,248,583 |  |  |  |  |  |  |  |  |  |  |  |  |
Transaction costs |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (2,890,061) |  |  |  |  |  |  |  |  | (2,890,061)
Establishment of redeemable noncontrolling interests |  |  |  | 26,116,548 |  |  |  |  |  |  |  |  |  |  | (26,116,548) |  |  |  |  |  |  |  |  | (26,116,548)
Stock-based compensation |  |  |  |  |  |  |  |  |  |  | $ 37 |  |  |  | 3,118,547 |  |  |  |  |  |  |  |  | 3,118,584
Stock-based compensation (in Shares) |  |  |  |  |  |  |  |  |  |  | 375,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Subsequent measurement of redeemable noncontrolling interests |  |  |  | 176,420,473 |  |  |  |  |  |  |  |  |  |  | (6,047,026) |  |  | (170,373,447) |  |  |  |  |  | (176,420,473)
Net income (loss) |  | 8,224,091 |  | (10,276,021) |  |  |  |  |  |  |  |  |  |  |  |  |  | (1,531,429) |  |  |  |  |  | (1,531,491)
Balance at Mar. 31, 2024 |  | $ 15,079,167 |  | 192,261,000 |  |  |  | $ 3,523 |  |  | $ 503 |  |  |  |  |  |  | (173,051,964) |  |  |  |  |  | (173,047,938)
Balance (in Shares) at Mar. 31, 2024 |  | 1,500,000 |  |  |  |  |  | 35,230,000 |  |  | 5,026,964 |  |  |  |  |  |  |  |  |  |  |  |  |
Balance at Dec. 31, 2023 |  |  |  |  | $ 31,155,864 |  |  | $ 3,373 | $ 562 |  |  | $ 128 |  |  | 31,152,491 | $ (8,826,779) | $ (533,345) | (533,345) | $ 16,018,732 |  |  | $ (8,826,089) | $ 30,622,519 | 30,622,519
Balance (in Shares) at Dec. 31, 2023 |  |  |  |  | 1,000,000 |  |  | 33,730,000 | 5,619,077 |  |  | 1,280,923 |  |  |  |  |  |  | 1,405,555 |  |  |  |  |
Balance at Sep. 30, 2024 |  | $ 15,862,110 |  | 57,003,700 |  |  |  | $ 3,523 |  |  | $ 518 |  |  |  | 3,875,899 |  |  | (43,207,350) |  |  |  |  |  | $ (39,327,410)
Balance (in Shares) at Sep. 30, 2024 |  | 1,500,000 |  |  |  |  |  | 35,230,000 |  |  | 5,172,964 |  |  |  |  |  |  |  |  | 35,230,000 | 5,172,964 |  |  | 41,902,964
Balance at Mar. 31, 2024 |  | $ 15,079,167 |  | 192,261,000 |  |  |  | $ 3,523 |  |  | $ 503 |  |  |  |  |  |  | (173,051,964) |  |  |  |  |  | $ (173,047,938)
Balance (in Shares) at Mar. 31, 2024 |  | 1,500,000 |  |  |  |  |  | 35,230,000 |  |  | 5,026,964 |  |  |  |  |  |  |  |  |  |  |  |  |
Stock-based compensation |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 2,417,888 |  |  |  |  |  |  |  |  | 2,417,888
Stock-based compensation (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Subsequent measurement of redeemable noncontrolling interests |  |  |  | (117,877,583) |  |  |  |  |  |  |  |  |  |  |  |  |  | 117,877,583 |  |  |  |  |  | 117,877,583
Net income (loss) |  | 384,388 |  | (1,863,917) |  |  |  |  |  |  |  |  |  |  |  |  |  | (277,790) |  |  |  |  |  | (277,790)
Balance at Jun. 30, 2024 |  | $ 15,463,555 |  | 72,519,500 |  |  |  | $ 3,523 |  |  | $ 503 |  |  |  | 2,417,888 |  |  | (55,452,171) |  |  |  |  |  | (53,030,257)
Balance (in Shares) at Jun. 30, 2024 |  | 1,500,000 |  |  |  |  |  | 35,230,000 |  |  | 5,026,964 |  |  |  |  |  |  |  |  |  |  |  |  |
Reverse Recapitalization |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 112,909 |  |  |  |  |  |  |  |  | 112,909
Stock-based compensation |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1,089,617 |  |  |  |  |  |  |  |  | 1,089,617
Class A common stock issued for services |  |  |  |  |  |  |  |  |  |  | $ 15 |  |  |  | 255,485 |  |  |  |  |  |  |  |  | 255,500
Class A common stock issued for services (in Shares) |  |  |  |  |  |  |  |  |  |  | 146,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Subsequent measurement of redeemable noncontrolling interests |  |  |  | (12,669,083) |  |  |  |  |  |  |  |  |  |  |  |  |  | 12,669,083 |  |  |  |  |  | 12,669,083
Net income (loss) |  | 398,555 |  | (2,846,717) |  |  |  |  |  |  |  |  |  |  |  |  |  | (424,262) |  |  |  |  |  | (424,262)
Balance at Sep. 30, 2024 |  | $ 15,862,110 |  | $ 57,003,700 |  |  |  | $ 3,523 |  |  | $ 518 |  |  |  | $ 3,875,899 |  |  | $ (43,207,350) |  |  |  |  |  | $ (39,327,410)
Balance (in Shares) at Sep. 30, 2024 |  | 1,500,000 |  |  |  |  |  | 35,230,000 |  |  | 5,172,964 |  |  |  |  |  |  |  |  | 35,230,000 | 5,172,964 |  |  | 41,902,964

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