Currently, if you are viewing an assistant conversation that has been shared with you, there is no way for you to continue to prompt it.
I propose a feature that allows users to continue these converations, for their own purposes.
For privacy reasons, there may be concerns regarding if attachments are kept or not. but this is an implementation detail that i think is best left to the team to decide.
IMO if possible this should be an option while creating the shared convo. ie: have a checkbox like:
share attachments?