I suggested "video=HDMI-A-1:1280x720M@60" and not "video=HDMI-A-1:1360x768M@60" for a reason
Yep, and when your suggestion didn't work I figured I'd take a shot in the dark and meddle around and try a few other things before giving up and doing a clean install. My time wasted might save someone else a few minutes of their time.
You're probably right in that Linux doesn't like that 'weird resolution', but it does work. Though at least in my case, it only seems to work from a clean install.
In any event, I'm up and running and again and appreciate you trying help salvage my messed up system.