How soon after a vermillion advancing corner lip lift could I have am oral commissure lifting corner lip lift?

I recently had a corner lip lift where the incision was limited to the vermillion border. This gave me more red lip show, but didn't address my main concern, which is my drooping corners. I'm upset that my primary concern was not addressed at all and I'm looking to get a corner lip lift where the incision is a triangle/diamond wedge removed at the edges of my lip with a scar extending past my lip (not what happened with my previous procedure). What is the soonest I could get it?