Hmm I've got a similar setup. TV only on and used when I want it for certain things like rhythm games. Its not a great TV and 4k60 is its max but that seems accurate based on mangohud.
3 monitors: 1 display port, 2dvi Optional HDMI TV.
Check your cable perhaps, but also the HDMI forum sucks and prevented AMDs open source driver (https://arstechnica.com/gadgets/2024/02/hdmi-forum-to-amd-no-you-cant-make-an-open-source-hdmi-2-1-driver/ )for proper 2.1 HDMI support. Additionally many TVs have a "gamemode" or low latency mode that might help.
That said if you mean your system itself is struggling and not the display on the TV, I don't have a clue what it would be.
This bigly. Everyone innately deserves respect. You can absolutely lose it for being a wanker.
"Respect is earned" needs to die in a fire.