These recurring bumps with pus likely indicate a chronic bacterial skin infection, such as folliculitis. Since previous treatments only offered temporary relief, I highly recommend consulting a dermatologist for a skin swab to identify the exact bacteria. For treatment, a doctor may prescribe topical antibiotic ointments like mupirocin or fusidic acid, paired with an antiseptic wash containing chlorhexidine or benzoyl peroxide to reduce bacterial spread. A mild hydrocortisone cream can help soothe the itching. Please avoid squeezing the bumps to prevent scarring and further infection. This is a very common and treatable condition, and targeted therapy will help clear it up.