Extend template entities with a script section (#96175)

* Extend template entities with a script section

This allows making a trigger entity that triggers a few times a day,
and allows collecting data from a service resopnse which can be
fed into a template entity.

The current alternatives are to publish and subscribe to events or to
store data in input entities.

* Make variables set in actions accessible to templates

* Format code

---------

Co-authored-by: Erik <erik@montnemery.com>

homeassistant/components/websocket_api/commands.py

@@ -713,12 +713,12 @@ async def handle_execute_script(
 
     context = connection.context(msg)
     script_obj = Script(hass, script_config, f"{const.DOMAIN} script", const.DOMAIN)
-    response = await script_obj.async_run(msg.get("variables"), context=context)
+    script_result = await script_obj.async_run(msg.get("variables"), context=context)
     connection.send_result(
         msg["id"],
         {
             "context": context,
-            "response": response,
+            "response": script_result.service_response if script_result else None,
         },
     )