This does ~95% of the backend work required to integrate the AI work.
Most left to integrate from the tasks branch is just frontend, which
will be a lot smaller I believe.
The real difference between this branch and that one is the abstraction
-- this now attaches statuses to apps, and returns the latest status
reported as part of a workspace.
This change enables us to have a similar UX to in the tasks branch, but
for agents other than Claude Code as well. Any app can report status
now.