That’s more than enough. You can’t do any more.

As an Android flavour it should be safe after uninstalling all apps associated with the university. Did any of them need a “device owner” permission? That’s the only way to be more persistent on Android without root access.

The mobile and TV clients are often limited to the codecs with hardware acceleration. Or just selecting a lower bitrate on the client will cause transcoding.

The FS feature is great, it’s just cumbersome to use without a tool.

Snapper works well for a local backup like history both against botched updates and accidental deletion, but eats up the free space with the default settings.

Timeshift is an easy to use GUI but doesn’t support non-default partitions.

Also the quota support had a nasty side effect: freezing the whole system on snapshot deletion.

if the integrated one is good enough for gaming

No, the iGPU is only meant for testing and basic desktop usage like video playback on the 7000 series. There are 8000G series with better integrated graphics but even those are much weaker than any dedicated GPU.

If you are looking to reduce the build’s cost consider a cheaper motherboard or a used GPU. The Asrock B650M-HDV/M.2 is the lowest you should go if it has all the connectors you need. As for buying used video card it’s always a bit of risk, but as the most expensive component you could save the most on that. Since all AM5 CPUs have an integrated GPU you could build without the dedicated GPU first.