It’s not a laptop, and OP has not complained about performance. He wouldn’t be able to use UE5 on the integrated HD 630 anyway - not without a choppy 5-10 fps in the viewport… And OP can check what the HDMI is connected to. Although I’ve seen desktops having the HDMI plugged into the wrong port - but that’s extreme malpractice 
And even so, if your CPU at 100% + iGPU under load are hitting 95C, you have a cooling problem anyway. Use any other app that pushes the CPU, you’ll get identical results. Prime95 it and you’ll hit 100C in 5mins.
Nothing to do with the editor unless you’re observing very high utilisation non-stop without it performing any tasks.
Why not open the Task Manager and observe which GPU is being used - takes 5 seconds…
My secondary rig has 2 GPUs + iGPU.
Cooler Master Hyper 212 EVO
It’s a decent cooler. It’s either not spinning fast enough, the thermal paste was not applied correctly / has dried out too much (unlikely, but who knows), it’s a tiny case with no air flow, you live in 40C heat or all of the above.
IMHO, it’s a cookie-cutter cooling issue.