They make their way out the emergency exit unmolested.
Fortunately he typically has his phone on vibrate because it bugs him when people's phones always make annoying sounds, so he manages to just go into a small empty room on his way back and answer the phone to say – "On my way out."
"Big hospital, took a bit to get in, haven't noticed anything wrong at least."
"Yup, but might take a bit to get in because I used an employee door. So. Kinda required that I was stealthy."
"… You can still come with but it might require waiting or finding another entrance, is what I mean?"
So he picks Sadde up when he's out of the car and goes around to look for an easier entrance, preferably one nearer the ICU!
There isn't an unsupervised one!
There's the ambulance entrance there, though, being opened for an outgoing ambulance just now.
He assesses how quickly he can run with Sadde in tow and then… decides that it is probably not wisest to use that entrance.
Back around to the other entrance he goes and then puts Sadde down briefly, saying, "Gonna wait for someone to use the staff entrance."
… Ugh waiting so long is boring.
"Do you want to circle around again perhaps?"
"They have to get less manned at some point, but okay, we can wait here for another twenty minutes if you'd prefer."
"The main entrance is gonna remain a main entrance, the ambulance entrance is gonna only be open for ambulances, the emergency exits are exits, I'm not sure anything can change meaningfully, here."