I realise it’s possible to deal with more than one problem at a time, but goodness me.
Doubt that is needed. GLaDOS could just label the doors ‘deadly experiments run by AGI’ and enough of them would rationalize themselves into it being some sort of 4d chess move pulled to hide the actual safe room of things the AGI doesn’t want you to discover and walk in.
If GLaDOS includes a small typo on the door it would convince even more of them.