SOLVED: Hardware Acceleration with Intel Core i3-9100

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That sounds as though you may not have the correct drivers installed. The only necessary device to pass into the container is /dev/dri/renderD12* (where it's 128 for iGPU, increased by 1 for each additional card/GPU). You don't have to pass card0 and it definitely won't provide the correct device to the docker container.

You may need to enable non-free drivers and find the intel-media-driver-non-free package from your distro. I don't run Fedora, but there are a ton of posts out there that seem to help with installing the correct drivers. Be careful of just copy/pasting code from random folks on the web, but if you understand what is happening in each command, you can spot anything janky.