I’d keep the paint color light too.

I dont know how to do it without wiring , but if you were open to wiring… You could always put up a Seura lighted mirror. They are very nice looking and the light is great. Ideally you would also put a sconce on either side of the mirror but it doesnt look like there is tons of space, maybe 30”- 36”? You could always put the sconce above the mirror. Then you would have a great make up counter.