Python: Fix broken samples for GitHub Copilot, declarative, and Responses API (#4915)

* Python: Fix broken samples for GitHub Copilot, declarative, and Responses API

- Add missing on_permission_request handler to github_copilot_basic and
  github_copilot_with_session samples (required by copilot SDK)
- Increase timeout for remote MCP query in github_copilot_with_mcp sample
- Soften session isolation claim in github_copilot_with_session sample
- Fix inline_yaml sample: pass project_endpoint via client_kwargs instead
  of relying on YAML connection block (AzureAIClient expects
  project_endpoint, not endpoint)
- Handle raw JSON schemas in Responses client _convert_response_format
  so declarative outputSchema works with the Responses API

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>

* Improve raw JSON schema detection heuristic and add tests

- Broaden raw schema detection to handle anyOf, oneOf, allOf, $ref, $defs
  keywords and JSON Schema primitive types, not just 'properties'
- Apply same raw schema handling to azure-ai _shared.py for consistency
- Add unit tests for both openai and azure-ai response_format conversion

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>

---------

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>

python/packages/openai/tests/openai/test_openai_chat_client.py

@@ -1713,6 +1713,71 @@ def test_response_format_json_schema_missing_schema() -> None:
         client._prepare_response_and_text_format(response_format=response_format, text_config=None)
 
 
+def test_response_format_raw_json_schema_with_properties() -> None:
+    """Test raw JSON schema with properties is wrapped in json_schema envelope."""
+    client = OpenAIChatClient(model="test-model", api_key="test-key")
+
+    response_format = {"type": "object", "properties": {"x": {"type": "string"}}, "title": "MyOutput"}
+
+    _, text_config = client._prepare_response_and_text_format(response_format=response_format, text_config=None)
+
+    assert text_config is not None
+    fmt = text_config["format"]
+    assert fmt["type"] == "json_schema"
+    assert fmt["name"] == "MyOutput"
+    assert fmt["strict"] is True
+    assert fmt["schema"]["additionalProperties"] is False
+    assert "title" not in fmt["schema"]
+
+
+def test_response_format_raw_json_schema_no_title() -> None:
+    """Test raw JSON schema without title defaults name to 'response'."""
+    client = OpenAIChatClient(model="test-model", api_key="test-key")
+
+    response_format = {"type": "object", "properties": {"x": {"type": "string"}}}
+
+    _, text_config = client._prepare_response_and_text_format(response_format=response_format, text_config=None)
+
+    assert text_config is not None
+    assert text_config["format"]["name"] == "response"
+
+
+def test_response_format_raw_json_schema_preserves_additional_properties() -> None:
+    """Test raw JSON schema preserves existing additionalProperties."""
+    client = OpenAIChatClient(model="test-model", api_key="test-key")
+
+    response_format = {"type": "object", "properties": {"x": {"type": "string"}}, "additionalProperties": True}
+
+    _, text_config = client._prepare_response_and_text_format(response_format=response_format, text_config=None)
+
+    assert text_config is not None
+    assert text_config["format"]["schema"]["additionalProperties"] is True
+
+
+def test_response_format_raw_json_schema_non_object_type() -> None:
+    """Test raw JSON schema with non-object type does not inject additionalProperties."""
+    client = OpenAIChatClient(model="test-model", api_key="test-key")
+
+    response_format = {"type": "array", "items": {"type": "string"}}
+
+    _, text_config = client._prepare_response_and_text_format(response_format=response_format, text_config=None)
+
+    assert text_config is not None
+    assert "additionalProperties" not in text_config["format"]["schema"]
+
+
+def test_response_format_raw_json_schema_with_anyof() -> None:
+    """Test raw JSON schema with anyOf keyword is detected."""
+    client = OpenAIChatClient(model="test-model", api_key="test-key")
+
+    response_format = {"anyOf": [{"type": "string"}, {"type": "number"}]}
+
+    _, text_config = client._prepare_response_and_text_format(response_format=response_format, text_config=None)
+
+    assert text_config is not None
+    assert text_config["format"]["type"] == "json_schema"
+
+
 def test_response_format_unsupported_type() -> None:
     """Test unsupported response_format type raises error."""
     client = OpenAIChatClient(model="test-model", api_key="test-key")