Fedora requires less maintenance which is important in a university scenario. But then you have those Exam Safe Browsers which don’t run on wine anyway.
If you’re going to miss AUR-levels of package count, my advice is to grab openSUSE (preferably non-Leap), get familiar with zypper and yast, then add the Packman repo. Combined with the OBS (basically the openSUSE version of the AUR), you’ll have pretty high package availability.
openSUSE also requires less maintenance than Arch.
But generally, I recommend EndeavourOS, just add the chaotic-aur so you don’t spend hours compiling, and have fun!