Python: Replaced obsolete create_response method in samples

[dmytrostruk]

Motivation and Context

Replaced obsolete create_response method with to_function_approval_response on Content type in samples.

Contribution Checklist

• The code builds clean without any errors or warnings
• The PR follows the Contribution Guidelines
• All unit tests pass, and I have added new tests where possible
• Is this a breaking change? If yes, add "[BREAKING]" prefix to the title of the PR.

[Copilot]

Pull request overview

This pull request updates Python sample code to replace the obsolete create_response method with the new to_function_approval_response method on the Content type. This is part of API modernization where FunctionApprovalRequestContent and FunctionApprovalResponseContent types have been replaced with a generic Content type using type discriminators.

Changes:

• Replaced imports of FunctionApprovalRequestContent and FunctionApprovalResponseContent with the generic Content type
• Updated type checking from isinstance(data, FunctionApprovalRequestContent) to isinstance(data, Content) and data.type == "function_approval_request"
• Replaced all calls to create_response() with to_function_approval_response() on Content objects
• Updated comments and documentation to reflect the new API

Reviewed changes

Copilot reviewed 12 out of 12 changed files in this pull request and generated 2 comments.

Show a summary per file

File	Description
sequential_builder_tool_approval.py	Updated imports, type checks, and method calls for tool approval in sequential workflows
group_chat_builder_tool_approval.py	Updated imports, type checks, and method calls for tool approval in group chat workflows
concurrent_builder_tool_approval.py	Updated imports, type checks, and method calls for tool approval in concurrent workflows
agents_with_approval_requests.py	Updated imports, type checks, and method calls for approval requests; contains a critical bug
handoff_with_tool_approval_checkpoint_resume.py	Updated imports, type checks, method calls, and helper function signatures for checkpoint workflows
function_tool_with_approval_and_threads.py	Updated method calls from create_response to to_function_approval_response
function_tool_with_approval.py	Updated method calls from create_response to to_function_approval_response
openai_responses_client_with_hosted_mcp.py	Updated method calls in OpenAI client examples
azure_responses_client_with_hosted_mcp.py	Updated method calls in Azure OpenAI client examples
azure_ai_with_multiple_tools.py	Updated method calls in Azure AI agent examples
azure_ai_with_hosted_mcp.py (azure_ai_agent)	Updated method calls in Azure AI agent with MCP example
azure_ai_with_hosted_mcp.py (azure_ai)	Updated method calls in Azure AI with MCP example