He's not letting Tony out of here until he is thinking again. He honestly wouldn't know how to live with himself if something happened to Tony that he could have prevented. If that means hot tubbing will keep him in the relative safety of their misappropriated room, then so be it.

He is still blissfully unaware of the situation he's putting himself into when it comes to how straight Tony's thinking. Poor dumb genius.

Putting Tony through the physical challenge of getting undressed gives Bruce time to do the same. For a man who's often pretty uncomfortable in his skin, he has at least become very accustomed to showing it. There are only so many times you can wake up wearing the tatters of clothes (if you're lucky) before that becomes the very least of your worries. He leaves Tony to struggle with his clothes and starts undressing, draping his cardigan and shirt over the back of a chair before toeing off his shoes and hopping on first one foot and then the other to get his socks off.

The pants are staying on until he can get Tony safely into the tub.

Once he's mostly ready, he moves in to give Tony some assistance, even if it's just a stable arm to hang onto for balance.