you need a (chemical) exfoliant, especially if you have oily and acne prone skin like me. a single salicylic acid cleanser is the best thing in my opinion. i have the one from cerave because even though it might be a bit expensive, it's very worth it because it also lasts for a very very long time.
i would say physical exfoliate twice a week and use a salicylic acid face wash/cleanser every day (apart from the physical exfoliating days)