Here is what I did. I first put the base teal coat on and waited hours for it to fully dry. Once dried I taped off each finger and then painted the white tips. After that was fully dried or at least mostly dry, I started trying to carefully put on the purple dots with my new nail art lacquer. An art pen might have been a bit easier but that's ok. I love 'em.
Mint by F21, Magenta by Art Deco, Naturel White by Sally Hansen