Python: updated integration tests and guidance (#4181)

* updated integration tests and guidance

* fixed merge test

* updated integration tests

* fix: remove duplicate --dist loadfile flag from pytest-xdist config

Only one --dist mode can be active at a time; the second value silently
overrides the first. Keep --dist worksteal (dynamic load balancing) and
remove the redundant --dist loadfile from all workflow files and
pyproject.toml configs.

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

* docs: add keep-in-sync notes for merge and integration test workflows

Both python-merge-tests.yml and python-integration-tests.yml share the
same parallel job structure. Added sync reminders in workflow file
comments, the python-testing SKILL.md, and CODING_STANDARD.md.

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

* refactor: remove RUN_INTEGRATION_TESTS flag

Integration test gating now uses two mechanisms:
- `@pytest.mark.integration` for test selection via `-m` filtering
- `skip_if_*_disabled` for credential/service availability checks

The RUN_INTEGRATION_TESTS env var was redundant since the marker handles
selection and the skip decorators already check for actual credentials.

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

* fix: sync missing env vars from merge-tests to integration-tests

Add OPENAI_EMBEDDINGS_MODEL_ID and AZURE_OPENAI_EMBEDDING_DEPLOYMENT_NAME
to python-integration-tests.yml to match python-merge-tests.yml.

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

* fix: remove remaining RUN_INTEGRATION_TESTS from embedding tests and docs

Missed test_openai_embedding_client.py and vector-stores README in the
earlier cleanup.

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

* set functions tests to 3.10

---------

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

python/packages/ollama/tests/test_ollama_chat_client.py

@@ -26,11 +26,8 @@ from agent_framework_ollama import OllamaChatClient
 # region Service Setup
 
 skip_if_azure_integration_tests_disabled = pytest.mark.skipif(
-    os.getenv("RUN_INTEGRATION_TESTS", "false").lower() != "true"
-    or os.getenv("OLLAMA_MODEL_ID", "") in ("", "test-model"),
-    reason="No real Ollama chat model provided; skipping integration tests."
-    if os.getenv("RUN_INTEGRATION_TESTS", "false").lower() == "true"
-    else "Integration tests are disabled.",
+    os.getenv("OLLAMA_MODEL_ID", "") in ("", "test-model"),
+    reason="No real Ollama chat model provided; skipping integration tests.",
 )
 
 
@@ -470,6 +467,8 @@ async def test_cmc_with_invalid_content_type(
         await ollama_client.get_response(messages=chat_history)
 
 
+@pytest.mark.flaky
+@pytest.mark.integration
 @skip_if_azure_integration_tests_disabled
 async def test_cmc_integration_with_tool_call(
     chat_history: list[Message],
@@ -485,6 +484,8 @@ async def test_cmc_integration_with_tool_call(
     assert tool_result.result == "Hello World"
 
 
+@pytest.mark.flaky
+@pytest.mark.integration
 @skip_if_azure_integration_tests_disabled
 async def test_cmc_integration_with_chat_completion(
     chat_history: list[Message],
@@ -497,6 +498,8 @@ async def test_cmc_integration_with_chat_completion(
     assert "hello" in result.text.lower()
 
 
+@pytest.mark.flaky
+@pytest.mark.integration
 @skip_if_azure_integration_tests_disabled
 async def test_cmc_streaming_integration_with_tool_call(
     chat_history: list[Message],
@@ -522,6 +525,8 @@ async def test_cmc_streaming_integration_with_tool_call(
                 assert tool_call.name == "hello_world"
 
 
+@pytest.mark.flaky
+@pytest.mark.integration
 @skip_if_azure_integration_tests_disabled
 async def test_cmc_streaming_integration_with_chat_completion(
     chat_history: list[Message],