Overbite but teeth are all straight, no crooked but top gums very outward. Can wearing braces push my top gums inward? (Photos)

My top gums are very obvious when laughing and are very outward as shown in picture 1 & 2. Is there any way I could fix that and have a nicer looking* when I'm laughing. I'm an overbite but teeth are straight and no crooked. Wondering if there's any way to push my gums inwards. Like will wearing braces solve my problems? Thank you.

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