Hi!
I did the spy mission to try to find out the answer and stayed in the room for 20 minutes after finishing it, and I wasn't kicked out from the place. It's possible to logout there, so I think there's a chance that we can remain in the room as long as we want. I couldn't stay more time there because I had things to do, but one thing I'm sure: we can stay in the room for at least 20 minutes.