Hello,
There is nothing to worry as it can be due to normal signs of wound healing. If the brown spots persist then post inflammatory hyperpigmentation should be ruled out.
The treatment for post inflammatory hyperpigmentation includes various skin creams like hydroquinone, azelaic acid, corticosteroids, tretinoin cream and laser treatment.
It is very difficult to precisely confirm a diagnosis without examination and investigations and the answer is based on the medical information provided. For exact diagnosis, you are requested to consult your doctor. I sincerely hope that helps. Take care and please do keep me posted on how you are doing.
OP here, note that the dot I'm talking about isn't the dark brown dot easily visible in the picture, it's the lesser visible dots around the wound.