the monitor might be ultra-high DPI and not support basic pc poweron startup resolutions like 640x480 or 320x200
#Monitor giving out of range message during startup
dire jolt
check full article here though for possible fix:
https://linuxmint-user-guide.readthedocs.io/en/latest/grub.html
or try running the pc off the tv since that works right, and look in the BIOS at fresh boot for video options.