I recently received an Intel A750 from an Intel run contest. My idea for it was to replace the GTX 1660 in my media server with it, as it has AV1 encode/decode and faster encoding. Before installing my A750 in my media server, I had to make sure it will actually work, and work well with ffmpeg.
This took some time spanning a couple of days to figure out, but I managed to get it almost completely working thanks to coming across this post, and the very helpful user who wrote it (u/Mr_Deathproof): https://www.reddit.com/r/Tdarr/comments/yvsq3n/got_my_intel_arc_a380_dg2_to_work_with_booshs_qsv/iwhsezk/
I've adapted this to include solutions to issues I faced, and following method should work on a fresh install of Ubuntu 22.04.
Disclaimer: I'm not proficient at Linux, and there may be a much simpler method of doing this. This will also be using a "bleeding edge" kernel.
Make sure your user is in the render and video groups: