docs: new algorithm migration guides + memory evaluation (#4811)

Co-authored-by: kartik-mem0 <kartik.labhshetwar@mem0.ai>
Co-authored-by: Saket Aryan <saketaryan2002@gmail.com>

docs/integrations/openai-agents-sdk.mdx

@@ -45,7 +45,7 @@ mem0 = MemoryClient()
 @function_tool
 def search_memory(query: str, user_id: str) -> str:
     """Search through past conversations and memories"""
-    memories = mem0.search(query, user_id=user_id, top_k=3)
+    memories = mem0.search(query, filters={"user_id": user_id}, top_k=3)
     if memories and memories.get('results'):
         return "\n".join([f"- {mem['memory']}" for mem in memories['results']])
     return "No relevant memories found."
@@ -64,7 +64,7 @@ agent = Agent(
     Use the save_memory tool to store important information about the user.
     Always personalize your responses based on available memory.""",
     tools=[search_memory, save_memory],
-    model="gpt-4.1-nano-2025-04-14"
+    model="gpt-5-mini"
 )
 
 def chat_with_agent(user_input: str, user_id: str) -> str:
@@ -115,7 +115,7 @@ travel_agent = Agent(
     understand the user's travel preferences and history before making recommendations.
     After providing your response, use store_conversation to save important details.""",
     tools=[search_memory, save_memory],
-    model="gpt-4.1-nano-2025-04-14"
+    model="gpt-5-mini"
 )
 
 health_agent = Agent(
@@ -124,7 +124,7 @@ health_agent = Agent(
     understand the user's health goals and dietary preferences.
     After providing advice, use store_conversation to save relevant information.""",
     tools=[search_memory, save_memory],
-    model="gpt-4.1-nano-2025-04-14"
+    model="gpt-5-mini"
 )
 
 # Triage agent with handoffs
@@ -135,7 +135,7 @@ triage_agent = Agent(
     For health-related questions (fitness, diet, wellness, exercise), hand off to the Health Advisor.
     For general questions, handle them directly using available tools.""",
     handoffs=[travel_agent, health_agent],
-    model="gpt-4.1-nano-2025-04-14"
+    model="gpt-5-mini"
 )
 
 def chat_with_handoffs(user_input: str, user_id: str) -> str: