I have major asymmetry on left upper lip along with very thin lips. Would a lip lift be a better option? (Photo)

I've had 3 rounds of filler see pic below with some improvement. The Dr. pointed out that the issue is the area above my lip which we began to fill to avoid the "duck" look. I have larger features so my tiny lips really stand out. We haven't been able to fix the asymmetry (unless I overdraw with lip liner) so I started to look at other options. Any advice will be helpful. I'll attach another photo w/out makeup or a smile for a better view. Thanks!

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