Is this acne treatment effective for recurring blemishes next to the nose?

I don't have a lot of acne all over my face, but I am concerned because small blemishes constantly appear in similar locations next to my nose and on the inner part of my cheeks. As soon as one clears up, another one pops up right next to it, and my skin never stays completely clear for long.

If I wait without touching it, it calms down after a few days, but when I touch it, it feels like sebum remains around it. Can acne treatment still be effective in cases like this that occur repeatedly?

I am wondering if acne treatment only manages the current breakouts, or if it also includes care to reduce the likelihood of them recurring in the same location.

Before treating acne, is it possible to check my skin condition to see why it keeps appearing in specific areas? I would like to manage it with a focus on prevention before it gets worse.