Thank you for your quick reply, glad to hear your problem has been solved.
Sorry I may have misunderstood your question before. According to the problem you are facing, there are indeed some unknown problems with Windows Game Mode. I understand your idea of turning off Game Mode, but unfortunately, Game Mode cannot be turned off manually.
I have submitted this issue for you through internal channels. In addition, you can also submit your issue through the Feedback Hub (if convenient, please provide as much detail as possible, including pictures, videos, etc.), which will help Microsoft developers to further investigate this issue. Detailed steps can be found in the following link
Send feedback to Microsoft with the Feedback Hub app - Microsoft Support
Regarding the method you mentioned to adjust the fan speed, generally speaking, the fan speed is controlled by the motherboard, which is not adjusted through the Windows system, and the control software provided by the motherboard manufacturer is the most convenient way to adjust the relevant settings. I noticed that you tried to adjust the relevant settings in the BIOS, but the problem still exists, so it is possible that you did not set it correctly.
You can set different fan speeds according to different CPU temperatures and frequencies by manually adjusting the fan curve. For more information about this content, you can refer to the following article.
Disclaimer: Microsoft does not provide any implied or other warranties and/or guarantees and is not responsible for the information or any technology-related support you obtain from third-party linked websites.
Best regards
Brian - Microsoft Community Support Specialist