Just had a devious idea for a fourth type of teleporter: Trap Teleporter -> has the same glyph of the 2-way teleporter, but it is actually a 1-way teleporter that sends you to the position of a random teleporter, the random teleporter won't activate yet, but once you leave and return wanting to go back to the original teleporter you get the random teleporter treatment instead, to avoid it the player would have to notice that the glyph on the entry teleport is different from the glyph in the destination