I think the incarcerated patient (Gus) storyline is so perfect in the way that it shows baran and robby's work styles clashing, but neither of them are necessarily wrong. baran is more optimistic, robby is more burnt out, both make good points.
robby moves him to BH-2. baran argues that it's too visible, that it's not much better than his jail cell, that they should give him privacy. this is empathetic and a good point, and she's recognizing Gus's humanity. she's very good at that specifically, at recognizing everyone as human first.
robby counters that Gus came in with an orange jumpsuit, they don't know his crimes, and it would be safer if they kept him out in the open to monitor him. this hits as a little harsh, but it's realistic, we have no idea why Gus is incarcerated. nurses get assaulted almost constantly, safety of the staff is important.
baran wants to keep him admitted, because he's getting malnourished in prison and he could get better care in the hospital. again, empathizing with Gus and recognizing his humanity, knowing the prison system is broken and abusive. she sees a way to help him, she knows she can help him, and she's fighting to take it.
robby called up the prison, and knows they'll give him care there. not quality care, but enough to survive. it's not ideal by any means, but he's bringing up the bed shortage that they always have, that at least Gus won't be out on the street, and they need the space even more today with Westbridge diversions. also some good points.
baran tends to be highly individualistic in her thinking, and robby tends to go bigger picture. neither of them are necessarily wrong. they both have good points. it's just robby's kind of a dick about it lmfao and also it's easier to root for and connect with baran because she showcases empathy and a hopeful outlook. most of us want to be hopeful about things. but this situation, and many others, aren't solved only by hope. so much of the pitt, american healthcare, etc, is a grey area, a mess of nuance and multiple sides. baran and robby are just trying to do the best they can.
edit: also noteworthy that robby is trying to listen to baran and compromise. when baran is wanting to admit Gus, his first reaction isn't to shut it down, it's "what am I missing?" and then after their disagreement, he tries to compromise with the "why don't I call the prison doctor, see what they're working with?" like. he's trying.