Don't resurrect exited terminals on daemon restart

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>

cmd/hamlab/main.go

@@ -158,7 +158,9 @@ func serve(cfg *config.Config) error {
 		_ = st.Update(func(s *store.State) {
 			s.Terminals = s.Terminals[:0]
 			for _, t := range list {
-				s.Terminals = append(s.Terminals, store.Terminal{ID: t.ID, Name: t.Name})
+				if t.Running { // an exited shell must not come back from the dead on restart
+					s.Terminals = append(s.Terminals, store.Terminal{ID: t.ID, Name: t.Name})
+				}
 			}
 		})
 	}