Python: Fix Python pyright package scoping and typing remediation (#4426)

* Fix Python pyright package scoping and typing remediation

Implements issue #4407 by removing the root pyright include, adding package-level pyright includes, and resolving pyright/mypy typing issues across Python packages. Also cleans unnecessary casts and applies line-level, rule-specific ignores where external libraries are too dynamic.

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

* Reduce pyright cost in handoff cloning

Simplify cloned_options construction in HandoffAgentExecutor to avoid expensive TypedDict narrowing/inference in _handoff.py, which was causing pyright to spend a long time in orchestrations.

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

* fix types

* Fix lint and type-check regressions

Resolve current Python package check failures across lint, pyright, and mypy after recent code changes, including purview/declarative pyright issues and multiple ruff simplification findings.

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

* fixed hooks

* Stabilize package tests and test tasks

Resolve cross-package non-integration test failures, simplify streaming type flow, harden locale/culture handling, and standardize package test poe tasks to exclude integration tests where applicable.

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

* lots of small fixes

* Fix current Python test regressions

Address current failing unit tests in azure-ai, bedrock, and azure-cosmos while keeping Bedrock parsing logic inline (no new static helper methods).

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

* small fixes

* small fixes

* removed pydantic from json

* final updates

* fix core

* fix tests

* fix obser

---------

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

python/packages/core/tests/openai/test_openai_embedding_client.py

@@ -212,7 +212,8 @@ def test_azure_construction_with_existing_client() -> None:
     assert client.client is mock_client
 
 
-def test_azure_construction_missing_deployment_name_raises() -> None:
+def test_azure_construction_missing_deployment_name_raises(monkeypatch: pytest.MonkeyPatch) -> None:
+    monkeypatch.delenv("AZURE_OPENAI_EMBEDDING_DEPLOYMENT_NAME", raising=False)
     with pytest.raises(ValueError, match="deployment name is required"):
         AzureOpenAIEmbeddingClient(
             api_key="test-key",
@@ -272,6 +273,7 @@ skip_if_azure_openai_integration_tests_disabled = pytest.mark.skipif(
 
 @skip_if_openai_integration_tests_disabled
 @pytest.mark.flaky
+@pytest.mark.integration
 async def test_integration_openai_get_embeddings() -> None:
     """End-to-end test of OpenAI embedding generation."""
     client = OpenAIEmbeddingClient(model_id="text-embedding-3-small")
@@ -289,6 +291,7 @@ async def test_integration_openai_get_embeddings() -> None:
 
 @skip_if_openai_integration_tests_disabled
 @pytest.mark.flaky
+@pytest.mark.integration
 async def test_integration_openai_get_embeddings_multiple() -> None:
     """Test embedding generation for multiple inputs."""
     client = OpenAIEmbeddingClient(model_id="text-embedding-3-small")
@@ -302,6 +305,7 @@ async def test_integration_openai_get_embeddings_multiple() -> None:
 
 @skip_if_openai_integration_tests_disabled
 @pytest.mark.flaky
+@pytest.mark.integration
 async def test_integration_openai_get_embeddings_with_dimensions() -> None:
     """Test embedding generation with custom dimensions."""
     client = OpenAIEmbeddingClient(model_id="text-embedding-3-small")
@@ -315,6 +319,7 @@ async def test_integration_openai_get_embeddings_with_dimensions() -> None:
 
 @skip_if_azure_openai_integration_tests_disabled
 @pytest.mark.flaky
+@pytest.mark.integration
 async def test_integration_azure_openai_get_embeddings() -> None:
     """End-to-end test of Azure OpenAI embedding generation."""
     client = AzureOpenAIEmbeddingClient()
@@ -332,6 +337,7 @@ async def test_integration_azure_openai_get_embeddings() -> None:
 
 @skip_if_azure_openai_integration_tests_disabled
 @pytest.mark.flaky
+@pytest.mark.integration
 async def test_integration_azure_openai_get_embeddings_multiple() -> None:
     """Test Azure OpenAI embedding generation for multiple inputs."""
     client = AzureOpenAIEmbeddingClient()
@@ -345,6 +351,7 @@ async def test_integration_azure_openai_get_embeddings_multiple() -> None:
 
 @skip_if_azure_openai_integration_tests_disabled
 @pytest.mark.flaky
+@pytest.mark.integration
 async def test_integration_azure_openai_get_embeddings_with_dimensions() -> None:
     """Test Azure OpenAI embedding generation with custom dimensions."""
     client = AzureOpenAIEmbeddingClient()