Dry skin and baby acne?

C

My 8 week old babe has had baby acne for about 2 weeks or so. It hasn’t seemed to get better, & I haven’t been putting lotion on it, as everywhere I read, it said just to wash baby’s face everyday, I’ve tried breastmilk, & it didn’t help. Her face is now dry and you can seen the dead skin. What should I do? Would coconut oil be a safe option?