I tried to remove the “old” RPM Fusion repos and then reinstall, but that didn’t work. Terminal output was that ffmpeg and ffmpeg-libs were unavaliable.
To fix what I broke, I rolled back to my previous version:
$ rpm-ostree rollback
I checked on ffmpeg and I am running the latest version, so all good for now.
Side-note, as I guess may be related and you still have that “harder” setup: You can simplify rpmfusion updates, like to Fedora 36 a lot, so you don’t need to uninstall and reinstall the rpmfusion repos etc. (That may also fix your upgrade issue there.)