How Much Do Internal Lip Lifts Usually Cost, and Do They Make Upper Lip Thinner?

Hello I'm a male looking for a lip lift that would reduce the length between the base of my nose and my upper lip (I measured and it's about 2.5 cm). The reason I want to is so that I show more upper teeth when I smile. I want to go with an internal lip lift (where the incision is made inside the mouth) to avoid visible scars. How much does an internal lip lift usually cost? Is it any cheaper than let's say a bullhorn lift? Also will an internal lift make my upper lip thinner(go inward)? Thanks!

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