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Schedule II - Condensed Financial Information of Registrant (Parent Company Only) - Condensed Balance Sheet (Details) - USD ($) $ in Thousands | Dec. 31, 2025 | Dec. 31, 2024 | Dec. 31, 2023 | Dec. 31, 2022
--- | --- | --- | --- | ---
Condensed Balance Sheet Statements, Captions [Line Items] |  |  |  |
Common stock, shares issued | 48,876,882 | 48,875,167 |  |
Treasury Stock, Common, Shares | 3,871,598 | 2,368,194 |  |
Common Stock, Shares, Outstanding | 45,005,284 |  |  |
Assets: |  |  |  |
Debt Securities, Available-for-sale | $ 122,295 | $ 157,020 |  |
Short-term investments, at cost (approximates fair value) | 269,848 | 289,712 |  |
Other Investments | 24,971 | 28,294 |  |
Debt Securities, Available-for-sale, Allowance for Credit Loss | 0 | 0 |  |
Investments | 293,708 | 312,915 |  |
Other assets | 92,003 | 92,317 |  |
Assets | 2,223,317 | 8,058,378 | $ 8,428,320 |
Liabilities: |  |  |  |
Liabilities | 1,137,151 | 6,862,857 |  |
Redeemable noncontrolling interest | 252,981 | 199,402 | 17,079 | $ 19,983
Stockholders' equity (deficit): |  |  |  |
Preferred Stock, Value, Issued | 0 | 0 |  |
Common stock | 489 | 489 |  |
Additional paid-in capital | 369,860 | 331,007 |  |
Accumulated other comprehensive income (loss) | 8,483 | (188,436) | (160,046) |
Retained earnings | 370,431 | 683,643 |  |
Common stock held in treasury at cost | (33,473) | (28,339) |  |
Total Octave Specialty Group, Inc. stockholders’ equity | 715,790 | 798,364 |  |
Total liabilities, redeemable noncontrolling interest and stockholders’ equity | 2,223,317 | 8,058,378 |  |
Ambac Financial Group, Inc Parent Company Only [Member] |  |  |  |
Assets: |  |  |  |
Debt Securities, Available-for-sale | 153 | 0 |  |
Short-term investments, at cost (approximates fair value) | 151 | 0 |  |
Other Investments | 24,971 | 28,117 |  |
Debt Securities, Available-for-sale, Allowance for Credit Loss | 0 | 0 |  |
Investments | 64,468 | 92,556 |  |
Cash | 10,127 | 9,981 |  |
Investment in subsidiaries | 645,507 | 679,150 |  |
Deferred Tax Assets, Tax Deferred Expense | 1,497 | 1,497 |  |
Other assets | 8,750 | 21,476 |  |
Assets | 730,349 | 804,660 |  |
Liabilities: |  |  |  |
Liabilities | 14,559 | 6,296 |  |
Stockholders' equity (deficit): |  |  |  |
Preferred Stock, Value, Issued | 0 | 0 |  |
Common stock | 489 | 489 |  |
Additional paid-in capital | 369,860 | 331,007 |  |
Accumulated other comprehensive income (loss) | 8,483 | (188,436) |  |
Retained earnings | 370,431 | 683,643 |  |
Common stock held in treasury at cost | (33,473) | (28,339) |  |
Total Octave Specialty Group, Inc. stockholders’ equity | 715,790 | 798,364 | $ 1,361,658 | $ 1,252,331
Total liabilities, redeemable noncontrolling interest and stockholders’ equity | 730,349 | 804,660 |  |
Short-term Investments [Member] |  |  |  |
Assets: |  |  |  |
Debt Securities, Available-for-sale | 146,442 | 127,601 |  |
Short-term investments, at cost (approximates fair value) | 146,434 | 127,588 |  |
Debt Securities, Available-for-sale, Allowance for Credit Loss | 0 | 0 |  |
Short-term Investments [Member] | Ambac Financial Group, Inc Parent Company Only [Member] |  |  |  |
Assets: |  |  |  |
Short-term investments, at cost (approximates fair value) | $ 39,344 | $ 64,439 |  |

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