OP, my DD went through this exact thing last year at 11 year and here is how I handled it: “I really don’t know anything about it Since I’ve never had a mole removed so I will take you to the doctor.” Made an appointment at the dermatologist and let her hear from the doctor how unnecessary it was to get them removed. Then made an appointment at plastic surgeon and let her hear from him the description of sticking a needle in her face to numb it, cutting it out, shown pics of what the stitches will look like, the recovery process of having to keep them bandaged.
And guess how many more times she has asked me to get them removed?