How to Get Rid of Old Cigarette Burn on my Finger?

I have a 3 to 4 year old cigarette burn on my right middle finger that is very deep. I have peel it a few times trying to get rid of it and my doctor told me that was making it worst! He also said that it was to late to get it treated and I should have came in when it first happened! I will do anything to get rid of the scar I hope that someone can help me! Here is a picture of the burn to helps

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