refactor: v2 search and update examples (#3508)

docs/integrations/google-ai-adk.mdx

@@ -50,7 +50,7 @@ mem0 = MemoryClient()
 # Define memory function tools
 def search_memory(query: str, user_id: str) -> dict:
     """Search through past conversations and memories"""
-    memories = mem0.search(query, user_id=user_id, output_format='v1.1')
+    memories = mem0.search(query, user_id=user_id)
     if memories.get('results', []):
         memory_list = memories['results']
         memory_context = "\n".join([f"- {mem['memory']}" for mem in memory_list])
@@ -60,7 +60,7 @@ def search_memory(query: str, user_id: str) -> dict:
 def save_memory(content: str, user_id: str) -> dict:
     """Save important information to memory"""
     try:
-        result = mem0.add([{"role": "user", "content": content}], user_id=user_id, output_format='v1.1')
+        result = mem0.add([{"role": "user", "content": content}], user_id=user_id)
         return {"status": "success", "message": "Information saved to memory", "result": result}
     except Exception as e:
         return {"status": "error", "message": f"Failed to save memory: {str(e)}"}