What are the best ways to address puberty-onset acne?

None are great. The best you can do with over the counter products is a cleanser with 3% salicylic acid or 10% benzoyl peroxide. Of find both and alternate days. Acne is difficult to treat...Get help from a doc with experience and be patient. You may need a lot more than cleansers to fix acne. Combination treatments including bcp, antibiotics, diet, etc may all be required. Severe cases need more. Be patient!