Is it safer/more effective to undergo a lip lift before or after getting a permanent makeup tattoo on the lips?

I had a permanent makeup tattoo done on my lips about 7 years ago and would like to touch it up, giving my hue the same kind of vibrancy it had in those first few years after the procedure. I'm also interested in undergoing a lip lift to have my upper lip be more balanced against my lower lip. Which should I do first? I feel that it might be more effective to do the permanent makeup after the lip lift, but I'm worried about the how the tugging from the tattooing will affect the scar tissue.