Finished stage label

internal/store/migrations/083-add-finished-task-state.sql

@@ -0,0 +1 @@
+UPDATE tasks SET state = 'finished' WHERE state = 'idle' AND stage_output != '';

internal/store/store.go

@@ -1631,6 +1631,7 @@ const taskStateExpr = `CASE
 			WHEN tasks.review_requests > 0 THEN 'review_pending'
 			WHEN tasks.ready = 'merge' THEN 'ready_to_merge'
 			WHEN tasks.ready = 'discard' THEN 'discard_suggested'
+			WHEN tasks.stage_output != '' THEN 'finished'
 			ELSE 'idle'
 		END
 		FROM agent_sessions s

internal/store/workflow.go

@@ -205,7 +205,10 @@ func (s *Store) RunEvents(ctx context.Context, run string) ([]api.Event, error)
 func (s *Store) RecordStage(ctx context.Context, taskID, output, commit string) error {
 	return s.write(ctx, func(tx *sql.Tx, emit emitFunc) error {
 		_, err := tx.ExecContext(ctx, `UPDATE tasks SET stage_output = ?, stage_commit = ? WHERE id = ?`, output, commit, taskID)
-		return err
+		if err != nil {
+			return err
+		}
+		return settleTaskState(ctx, tx, emit, taskID, "byre")
 	})
 }