Pause and resume an in-flight conversation

What problem are you trying to solve?

There's no way to suspend a conversation that is actively running. If the
agent is partway through a multi-step task and I need to close my laptop,
step away, or switch to something else, my only option is to interrupt the
run — which ends the current turn, and picking up later means starting the
task over rather than continuing it.

This makes long-running tasks impractical: the longer the task, the more
progress I lose if I have to stop.

What would improve it?

The ability to pause an in-flight conversation - mid-response, or partwaythrough a multi-step task - and resume it later from exactly where itstopped, with the agent's progress intact.
To be clear: I know previous sessions can already be resumed from the chatlist. This is a different need - suspending a run that is currently inprogress, not re-opening a finished one
Even a simple "paused" state that survives an app restart and can be
continued from the same point would solve it.

What do you do today?

I either let the task run to completion before stepping away, or interruptit and re-describe the task when I come back - re-explaining context and
redoing work that was already finished.

Product area

None

No files, tests, or entry points are named. Start by tracing how an active conversation is interrupted and how conversation state survives an app restart. Define the paused state and resume behavior, including preserving progress during a multi-step task; done means an in-flight run can be paused and continued from the same point.