Consider adjusting any power saving or hibernation settings. What you describe could easily be related, though other causes are possible.
Regarding Steam:
Kernel 6.5 is no longer supported. You might try reverting to kernel 6.1 (LTS), however from what you describe, I doubt the kernel is the problem.
Regarding logs. These links may help you find what you need. Unfortunately, I can’t (I must go).
- How to Find System Information
- How to Find Error Logs
- Use the Terminal / TTY
- Post Command Output and File Content as Formatted Text
- And much more in the Tutorials category.
I’m sure others will add their thoughts soon. However, it might be best to open a new thread to make it easier to focus on your issues.
Cheers.