Document provide LLM data

docs/core/llm/index.md

@@ -86,11 +86,11 @@ class MyConversationEntity(conversation.ConversationEntity):
         """Call the API."""
 
         try:
-            await chat_log.async_update_llm_data(
-                DOMAIN,
-                user_input,
+            await chat_log.async_provide_llm_data(
+                user_input.as_llm_context(DOMAIN),
                 self.entry.options.get(CONF_LLM_HASS_API),
                 self.entry.options.get(CONF_PROMPT),
+                user_input.extra_system_prompt,
             )
         except conversation.ConverseError as err:
             return err.as_conversation_result()