[Core] Update documentation for function call compatibility

autogen/agentchat/conversable_agent.py

@@ -1716,6 +1716,7 @@ def register_for_llm(
                 For Azure OpenAI API, use version 2023-12-01-preview or later.
                 `"function"` style will be deprecated. For earlier version use
                 `"function"` if `"tool"` doesn't work.
+                See [Azure OpenAI documentation](https://learn.microsoft.com/en-us/azure/ai-services/openai/how-to/function-calling?tabs=python) for details.
 
         Returns:
             The decorator for registering a function to be used by an agent.
@@ -1729,7 +1730,7 @@ def my_function(a: Annotated[str, "description of a parameter"] = "a", b: int, c
                  return a + str(b * c)
             ```
 
-            For Azure OpenAI versions 2023-10-01-preview and earlier, set `api_style`
+            For Azure OpenAI versions prior to 2023-12-01-preview, set `api_style`
             to `"function"` if `"tool"` doesn't work:
             ```
             @agent2.register_for_llm(api_style="function")

test/agentchat/test_tool_calls.py

@@ -77,6 +77,9 @@ def test_eval_math_responses_api_style_function():
     config_list = autogen.config_list_from_models(
         KEY_LOC,
         model_list=["gpt-4-0613", "gpt-3.5-turbo-0613", "gpt-3.5-turbo-16k"],
+        filter_dict={
+            "api_type": ["azure"],
+        },
     )
     functions = [
         {