Non-pustular acne

My eldest child had pus-filled acne, so they kept touching it with their hands and it left a lot of scars, but perhaps because their skin has good regenerative power, it has improved a lot.

My younger child has an internal pimple that hasn't festered yet. Since their skin scars easily and gets infected, I can't even touch it.

Even when I suggest going to a place for extractions, they say they don't want to because it hurts, so I'm not sure if it's okay to just leave them alone.

Is there a good way?
My child used to have clear skin, but I'm even more worried because their skin scars easily even from a wound.