Hi,
I can understand your concern for the white, round patch on hair and goatee. There can be multiple possibilities of the same but if it is not painful then there is no need not worry. I advise you to not pinch or pop the area otherwise these areas are very prone for getting secondary infection. You can apply an
steroid cream such as
cortisone cream. If itching is present then can take
benadryl accordingly. Apply a plenty of moisturizers over the affected area. If these increase then
consult a dermatologist.