I’m Indian and suffer from Indian black pigmentation around my mouth. Will a chemical peel help?

I have the typical Indian black mouth. I’ve gotten my bloodwork checked and everything is normal. When I ask doctors they say it’s fine, but of course the doctors I’ve asked are white and do not know how to handle Indian skin. Will a chemical peel get rid of my Indian black mouth? All I want is for my skin to be even and not have a 5’oclock shadow around my mouth. When I say even skin I mean one color, like how Spanish people have even skin.