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Reverse Recapitalization - Schedule Of Common Stock Issued And Outstanding (Details) - shares | Sep. 30, 2025 | Jun. 30, 2025 | Mar. 31, 2025 | Dec. 31, 2024 | Sep. 30, 2024 | Jun. 30, 2024 | Mar. 31, 2024 | Dec. 31, 2023 | Dec. 31, 2022
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Schedule Of Common Stock Issued And Outstanding [Line Items] |  |  |  |  |  |  |  |  |
Common stock outstanding | 174,957,000 |  |  | 58,057,000 | 6,250,000,000 |  |  | 87,222,000 |
Common Stock [Member] |  |  |  |  |  |  |  |  |
Schedule Of Common Stock Issued And Outstanding [Line Items] |  |  |  |  |  |  |  |  |
Common stock outstanding | 174,957,000 | 59,742,000 | 59,016,000 | 58,057,000 | 57,855,000 | 57,812,000 | 57,797,000 | 57,776,000 | 86,360,000
AACT Public Shares [Member] | Common Stock [Member] |  |  |  |  |  |  |  |  |
Schedule Of Common Stock Issued And Outstanding [Line Items] |  |  |  |  |  |  |  |  |
Common stock outstanding | 49,360 |  |  |  |  |  |  |  |
Less: redemptions of AACT public shares | (43,867) |  |  |  |  |  |  |  |
AACT public shares, net of redemptions | 5,493 |  |  |  |  |  |  |  |
Legacy Kodiak Shares [Member] | Common Stock [Member] |  |  |  |  |  |  |  |  |
Schedule Of Common Stock Issued And Outstanding [Line Items] |  |  |  |  |  |  |  |  |
Common stock outstanding | 161,754 |  |  |  |  |  |  |  |
NRA Shares [Member] | Common Stock [Member] |  |  |  |  |  |  |  |  |
Schedule Of Common Stock Issued And Outstanding [Line Items] |  |  |  |  |  |  |  |  |
Common stock outstanding | 368 |  |  |  |  |  |  |  |
Legacy Kodiak Advisor [Member] | Common Stock [Member] |  |  |  |  |  |  |  |  |
Schedule Of Common Stock Issued And Outstanding [Line Items] |  |  |  |  |  |  |  |  |
Common stock outstanding | 1,092 |  |  |  |  |  |  |  |
AACT Shares [Member] | Common Stock [Member] |  |  |  |  |  |  |  |  |
Schedule Of Common Stock Issued And Outstanding [Line Items] |  |  |  |  |  |  |  |  |
Common stock outstanding | 11,743 |  |  |  |  |  |  |  |
Kodiak Shares [Member] | Common Stock [Member] |  |  |  |  |  |  |  |  |
Schedule Of Common Stock Issued And Outstanding [Line Items] |  |  |  |  |  |  |  |  |
Common stock outstanding | 174,957 |  |  |  |  |  |  |  |
AACT Sponsor Shares [Member] | Common Stock [Member] |  |  |  |  |  |  |  |  |
Schedule Of Common Stock Issued And Outstanding [Line Items] |  |  |  |  |  |  |  |  |
Common stock outstanding | 6,250 |  |  |  |  |  |  |  |

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