fix(web): schedule saves, restart_required, health and current-status agree with the rig

- POST /config/schedule and /config/dim-schedule accept a disabled per-day
  schedule with every day off (config.template.json's own shape); a day
  that is off keeps its posted times.
- POST /config/main sets restart_required from what the save changed:
  brightness, mode durations and plugin sections are applied live.
- /health is degraded (display_loop: stopped) when the service is inactive,
  the socket does not answer and there is no live heartbeat.
- /display/current-status no longer serves a stopped display's cached state
  when the socket and heartbeat both say it is gone (display_gone).

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

test/test_state_stream_readers.py

@@ -612,6 +612,12 @@ class TestEndToEnd:
         cached['display_current_state'] = {'mode': 'from-cache', 'last_updated': 1}
         path = str(tmp_path / 'control.sock')
         monkeypatch.setenv(c.SOCKET_PATH_ENV, path)
+        # The display is this process, and its render loop is beating: the
+        # cache is then still its answer once the socket goes.
+        heartbeat = tmp_path / 'display-heartbeat.json'
+        heartbeat.write_text(json.dumps({'pid': os.getpid(), 'mono': time.monotonic(),
+                                         'wall': time.time()}))
+        monkeypatch.setattr(display_watchdog, 'HEARTBEAT_PATH', str(heartbeat))
         hub = _hub_with_everything()
         server = ControlServer(path, state_hub=hub, keepalive=0.2)
         assert server.start()
@@ -638,3 +644,8 @@ class TestEndToEnd:
                 break
             time.sleep(0.05)
         assert (data['mode'], data['source']) == ('from-cache', 'cache')
+        # Stopped: systemd takes the heartbeat's directory with it, and the
+        # cache's last answer is no longer anyone's.
+        heartbeat.unlink()
+        data = _data(client, '/api/v3/display/current-status')
+        assert (data['mode'], data['source']) == (None, 'cache')