feat:[response API] GPT 5.1 apply_patch tool call support

[priyansh4320]

Why are these changes needed?

This pull request is a short PR adding apply patch tool call support for gpt-5.1 and codex models

• added type safety for built in tools params
• updated client and message retrieval for apply_tool support

Related issue number

#2211

Checks

• I've included any doc changes needed for https://docs.ag2.ai/. See https://docs.ag2.ai/latest/docs/contributor-guide/documentation/ to build and test documentation locally.
• I've added tests (if relevant) corresponding to the changes introduced in this PR.
• I've made sure all auto checks have passed.

[joggrbot]

📝 Documentation Analysis

All docs are up to date! 🎉

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✅ Latest commit analyzed: 2d61075 | Powered by Joggr

[codecov]

Codecov Report

❌ Patch coverage is 74.63235% with 69 lines in your changes missing coverage. Please review.

Files with missing lines	Patch %	Lines
autogen/oai/openai_responses.py	54.63%	37 Missing and 7 partials ⚠️
autogen/tools/apply_patch_tool.py	88.81%	13 Missing and 5 partials ⚠️
autogen/code_utils.py	0.00%	6 Missing and 1 partial ⚠️

Files with missing lines	Coverage Δ
autogen/llm_config/config.py	92.65% <ø> (ø)
autogen/oai/client.py	54.94% <100.00%> (-3.46%)	⬇️
autogen/code_utils.py	72.52% <0.00%> (+9.74%)	⬆️
autogen/tools/apply_patch_tool.py	88.81% <88.81%> (ø)
autogen/oai/openai_responses.py	66.77% <54.63%> (-3.32%)	⬇️

... and 17 files with indirect coverage changes

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[elCaptnCode]

I am really looking forward to this integration.