The throbbing, pustular acne around my chin and mouth hasn't gone down for a month. What should I do?

I am extremely stressed because of the red, hard, pustular acne that has appeared around my chin and mouth.

In particular, I feel a throbbing pain just from touching it with my fingertips, and it has been staying in this spot for over a month with no signs of improvement.

Even when I try to squeeze it out forcefully, it doesn't burst open and feels like it's just pricking inside, so I'm wondering if I should go to a dermatologist.

I can't even bring myself to touch it for fear that a wrong move might leave a permanent scar. How exactly should I care for this deep, long-lasting, chronic pustular acne around my chin and mouth to get rid of it completely?

I would like to know in detail about effective soothing methods or the correct way to deal with them.