And I think I may have just stripped it beyond obtainable so now I don’t know what I’m doing

Lay a rubber band’s flat side over it, push hard with the screwdriver, and it ought to grip enough to get it out.

Oh, good idea! I just had to get the screw out to switch her to a larger neck peg so I solved the problem by just thickening the one I couldn’t get off, but I will remember this!