Framework 13 keeps locking up, almost nonfunctional

The messages in both of your logs don’t show anything known to be suspicious (amdtee and cros stuff is known and “benign”).

There is a known amdgpu problem that is causing a lot of pain out there on AMD machines, not exclusive to Framework:

Maybe double check logs for those amdgpu errors? journalctl -b -1 -k for previous boot’s dmesg etc.