Show a small amber dot on the floating-workspace launcher (both the
floating-button and status-bar triggers) whenever any floating-workspace tab
still has an unacknowledged terminal bell or agent completion, and a
composited amber dot on the Windows tray icon when the window is
minimized/hidden. Both clear through the existing show-until-interact paths —
engaging with or closing the offending tab drops the dot with no stale unread
state left behind.
The launcher dot derives from the existing per-tab/per-pane unread maps via a
new selectFloatingWorkspaceHasUnread selector (primitive boolean, empty-
workspace early return, no bespoke state). The tray dot rides the notification
dispatch and clears on window show/restore.
Neil
Janderson Fagner