There are different tapes for different uses in painting. The blue tape is best used on glass or on wood that has been painted with an alkyd (after a suitable cure time). Never use blue tape on a lacquor finish or to mask off for spraying lacquor. It reacts with the glue, making a crusty mess.
Green tape is used for lacquor.
The puple tape is a very low stick tape for use on faux finish, wall paper, other delicate surfaces. It’s drawback is it odesn’t stick very well, you can drag it off while using a paint brush against it.
The off white, ecru, masking tape looking tape is the general purpose tape for all other uses.
Generally speaking, it is not a good idea to use tape on latex covered wood. Period. Learn to cut in. Taping and backfilling is for alkyd or lacquor covered trim.
On removing the other tapes, you either have to remove it as soon as you finish that area (not 30 minutes later even), or allow it to dry overnight before removing.