No person may engage in the practice of cosmetology unless the person is licensed by the commission. A person is engaged in the practice of cosmetology if that person, for compensation, a fee, or any valuable consideration, engages in any of the following practices with hands, chemicals, or any mechanical or electrical apparatus or appliance for beautifying or cosmetic purposes:
(1) Hair care by styling, wrapping, arranging, braiding, twisting, weaving, extending, fusing, dressing, curling, waving, permanent waving, singeing, cleansing, shampooing, cutting, bleaching, setting, coloring, straightening, relaxing, fitting, massaging, or similar work upon the hair, scalp, wigs, or hairpieces of a person;
(2) Nail technology;
(3) Esthetics; or
(4) Removal of superfluous hair by nonpermanent means.