Excoriation disorder
In clinical language, recurrent skin picking that leads to tissue damage and causes meaningful distress or impairment is called excoriation disorder, also known as dermatillomania.
It belongs to the body-focused repetitive behavior family and is classified within the obsessive-compulsive and related disorders spectrum.
The point of naming it is not to label a person. The point is to say clearly: this is real, recognized, and more common than many people think.