I don’t see any damage, just reflections. But if the reflections are scuffs, the internet yielded some thoughts
(I would try a tiny bit (rubbing with a cloth or a light eraser before other options) on an area that isn’t really visible
If you would rather, you could also make inquiries of a local cobbler instead of a DIY.
Good luck!
Remove scuff marks from patent leather by using the gentlest possible options. A damp cloth sometimes removes scuffs or try olive or mineral oil or an eraser.