This seems like such a no brainer, persist the text in the prompt field before it is sent so that you can jump between conversations without loosing all of your hard work.
I just spent 10 or so minutes writing a response and hopped into another conversation to grab some information needed to finish my response only to come back to the first 1st conversation and find all of my work gone. This feature seems like such a basic one in 2023. If privacy is a conern tie it to the current session
