Tattoo before surgery - is 3 weeks ample time to not risk any infection between tattoo and Rhinoplasty?

I had a somewhat larger tattoo done on 2/4/22 and I need to go back one more time to get it finished and plan on also getting a small tattoo on my hand. I have a rhinoplasty scheduled on 3/24/22 is 3-4 weeks ample time to not risk any infection between the tattoo and/or rhinoplasty?