I can’t count how many times, I started a chat about a subject and during the discussion, I wanted to have something explained or I wanted to lightly explore a connected subject. In this case, I think, having a side panel on the right with folders/groups would be useful. I would be able to organise prompts and their answer in a folder/group, which would free sapce on the main chat. Thus, I could get a denser chat about the necessary information.
Also, being able to collapse an answer helps with the clarity of the main chat. This is especially relevent when using a phone and you’re trying to find one information you know it was in one answer, but you have to scroll through so many text.
Same when the model has explained a bit too much by himself. Having a way to collapse parts of the answer would be useful.