MUSC Health Columbia Medical Center Downtown. Covid-19 Vaccination Clinic. MUSC Health Primary Care Columbia Medical Park DT 1. 2750 Laurel Street., suite 301. Columbia, SC 29204. 803-256-5588. Operates each week on Tuesdays, 8 a.m. to 12 noon and Wednesdays, 1 p.m. to 5 p.m. Providing 3rd dose shots to those who qualify..