Will Braces help my lip protrusion? (photos)

I already had my braces about 10 years ago they were crooked and since have been straightened. My problem is that I cannot close my lips unless I force it. I know I have lip incompetence but I was wondering if getting 4 bicuspids removed and wearing braces will eliminate the protrusion? I have attached an xray image I had earlier and the side view of my face showing that my lips doesn't close unless forced.

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