Masking tape, by design, is not for long term “sticky”. When you leave it out it starts to break down (the glue hardens, the paper breaks down in the air, etc.) not decompose. Painters tape, which has a less sticky adhesive will do the same thing if you leave it on a wall for 6 months. There is lots more to modern adhesives than protein colloid glue that are made with the collagen from skins, bones, tendons, and other tissues. Lots of chemical reactions with the outside.
In any case, white electrical tape is good, it will stick to the tiles. Folding the ends under capture them and doesn’t allow an errant robot pull the end up. Even so, robots that drag elements can catch the edges and pull it up.
Who knew you could get 14 posts on a thread about tape