Do you think I successfully cut out my ingrown toenail?

I spent close to an hour shooting warm water in to/on it and using clippers, and by the end I definitely don't feel the same pressure that I did. When I was pulling the nail back it looked like the front was dug in to the flesh. It's still red and inflamed though but maybe it needs a day or two with neosporin and bandages to get better?
Do you think I successfully cut out my ingrown toenail?
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