Looking for a surgeon for skin graft after a disastrous lip lift.

After a disastrous lip lift that left me with only 6 mm philtrum (6mm on the center and the original 15mm on the sides) I'm looking for a revision. Does any surgeon can perform a skin graft to reach at least 1,1 cm of philtrum? my scar is very horrible after the revision I had. I'd like to know if a skin graft would be a possibility to find a normal lip shape ( my lips are way too high) and if a doctor could perform to me a natural skin graft with minimal scarring? or maybe an expander?

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