Tirzepatide for Treatment of CCCA

The goal of this pilot clinical trial is to learn if tirzepatide can treat active central centrifugal cicatricial alopecia (CCCA), a type of permanent scarring hair loss, in adults. The main questions it aims to answer are: * Does tirzepatide improve the symptoms and signs of active CCCA? * Does tirzepatide change the activity of genes in the scalp, especially genes related to scarring? * Does tirzepatide promote hair regrowth? Participants will: * Inject tirzepatide once a week for 12 months. * Visit the clinic for scalp examinations, photographs, and other health assessments. * Have scalp biopsies at the beginning of the study and after 6 months of treatment. * Have blood tests and other safety monitoring during the study. There is no separate comparison group. Researchers will compare each participant's results during treatment with the participant's results at the beginning of the study.