Rename profiles to automations across backend and frontend

Rename the "profiles" entity to "automations" throughout the entire
codebase for clarity. Updates Python models, storage, API routes/schemas,
engine, frontend JS modules, HTML templates, CSS classes, i18n keys
(en/ru/zh), dashboard, tutorials, and command palette.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

server/src/wled_controller/core/mqtt/mqtt_service.py

@@ -18,7 +18,7 @@ class MQTTService:
     Features:
     - Publish messages (retained or transient)
     - Subscribe to topics with callback dispatch
-    - Topic value cache for synchronous reads (profile condition evaluation)
+    - Topic value cache for synchronous reads (automation condition evaluation)
     - Auto-reconnect loop
     - Birth / will messages for online status
     """
@@ -95,7 +95,7 @@ class MQTTService:
                 logger.warning(f"MQTT subscribe failed ({topic}): {e}")
 
     def get_last_value(self, topic: str) -> Optional[str]:
-        """Get cached last value for a topic (synchronous — for profile evaluation)."""
+        """Get cached last value for a topic (synchronous — for automation evaluation)."""
         return self._topic_cache.get(topic)
 
     async def _connection_loop(self) -> None:
@@ -170,7 +170,7 @@ class MQTTService:
         topic = f"{self._config.base_topic}/target/{target_id}/state"
         await self.publish(topic, json.dumps(state), retain=True)
 
-    async def publish_profile_state(self, profile_id: str, action: str) -> None:
-        """Publish profile state change to MQTT."""
-        topic = f"{self._config.base_topic}/profile/{profile_id}/state"
+    async def publish_automation_state(self, automation_id: str, action: str) -> None:
+        """Publish automation state change to MQTT."""
+        topic = f"{self._config.base_topic}/automation/{automation_id}/state"
         await self.publish(topic, json.dumps({"action": action}), retain=True)