Is PicoWay 1064 nm a safe/effective way to remove my upper eyeliner tattoo? (photos)

The black eyeliner tattoo is 4.5 years old and the “taupe” flesh colored tattoo is 1.5 years old. The eyeliner includes a wing, which I did not ask for. Attempted to remove it with saline removal, which did not work, and then July 2018 there was an attempt to camouflage the tattoo with taupe flesh color. I am afraid that laser tattoo removal will oxidize due to titanium dioxide and iron oxide. Should I proceed with removal of upper eyeliner and wing? Thank you