As you are AMD based this may be a worthless comment, but I’m on a 12th gen FW 13 with Debian 12.5, and the stock kernel, as you have experienced had serious sleep and hibernate issues. I was able to get a 6.7.12 kernel from backports though that has been working perfectly!
Maybe it is worth giving it a go?
I say this may be worthless because the kit in the FW 16 is super new.
Debian has been working perfectly on my 13 since moving to the backports kernel.