Let's see if you understand my diagram: maybe (just maybe), meditation room and hologram room is not one big round room but a 8-shaped room instead (see top view). Being the meditation room in a lower position (see side vie) and the kneeling pad inside this raised hologram room, the final step of the med-chamber is hiding behind of one of the pillars sorrounding the big hologram room.
Sorry for the lousy sketch! ;)