What procedure can I use to correct my protruding/ excessive upper gum? (Photo)

The left side protrudes more than the right and my teeth are really small at the sides of my mouth. I try to hide this by pressing my lips together when I smile but when I do this, only my gums are visible. Will a combination of braces and gum contouring solve this problem? What sort of procedure(s) would be needed to correct this and give me a more beautiful smile and how effective will it be?

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