On my desktop, after selecting the F36 LiveCD USB stick, I’m greeted by a black screen with no message whatsoever. Note that the same LiveCD USB stick starts properly on my laptop.
My desktop configuration:
CPU: Intel i9-10940X
RAM: 64GB
GPU: NVIDIA GeForce RTX 2080 Ti Rev. A
I have had this issue myself or at least one very similar, for some reason my gpu was the issue as to why it would black screen, and as this is most likely a hardware issue, try removing your gpu and try booting the media
I found the solution to my problem. The LiveUSB stick had an MBR partition table. My motherboard had legacy support turned off. Turning it on allowed the LiveUSB to start properly.