

There’s a sort of order from least to most destructive:
Exactly correct driver >
using an elastic band or other thin piece of rubber, between driver and screw, for grip >
different screwdriver that fits differently (e.g. a small flat driver in any cross-headed screw) >
again, with elastic/rubber >
other, unlikely drivers >
other grippy options, like steel wool >
superglue the driver to the screw >
epoxy resin a driver to the screw >
cut a new flat-head into the screw head with a dremel >
use a screw extracting bit >
drill out the screw head >
cut or drill out the plastic surround
I’m sure there’s other options I’ve not remembered. A lot of it depends on which screw is stuck, and how accessible it is.
At their heart, most distros are approximately “made of the same stuff”. There’s differences in package management in the background (e.g. how the “software centre” works), but essentially the difference between a “gaming distro”, “normal distro” and “creative distro” is just what programs are installed by default, and how a few things are set up by default.
Nothing stops me playing games on Mint (and historically, Ubuntu and Ubuntu Studio) - and likewise, nothing will stop you installing office programs, audio/video/graphics programs etc on something presented as a gaming distro.