Question:
If someone has a tattoo with hashem’s name on it can you cover it with another black tattoo in this case that tattoo cannot be removed through laser is it permitted through a gentile to cover it with a different color or object
Answer:
This is a serious question, and if the situation would come up in a real way, then you should seek aadvise from a Rov to personally guide you. However in general there is an option to have the tattoo covered with a skin graft, since covering the name of H-shem is not considered erasing it.
Sources:
Techumin 22-pg. 387, Tel Talpios73 pg. 51 in the name of R’ Eliyashiv zt”l, Ohel Yackov responsa fromHorav C. Kanievsky shlit”a. Also see Yabia Omer Main Omer 6-chap.4-23,