Fractora on upper lip to treat hyperpigmentation?

My technician wants to try fractora on my upper lip to treat hyperpigmentation. I have gone 3 times for a chemical peel to treat the area and it has faded but there isn’t a major difference. I just have concerns about the Fractora treatment on my upper lip. She said it is one of the most painful areas but my concern is with regards to the device penetrating my lips or vermillion border. I don’t have a large area above my lip, so there isn’t much space. I also worry about my gums/ teeth.