docs(sdk): document GPT-5.1 ApplyPatch example

[enyst]

Add SDK guide for the GPT-5.1 ApplyPatch example (examples/01_standalone_sdk/28_apply_patch_with_gpt5_1.py).

This corresponds to the SDK changes in OpenHands/software-agent-sdk PR #1166 (feat: GPT-5.1 ApplyPatch tool).

[enyst]

Actually I'm not sure this belongs in the docs, or not quite like this, it's not a "guide".

[enyst]

@OpenHands Read OpenHands/software-agent-sdk#1166 and take from there the examples/ example script, and update this PR with the latest content if it changed.

Then remove the text that says here, in the docs PR, that it's available on github, because it won't be: I'll remove it from there, and it stays only here.

Commit and push the docs branch.

[openhands-ai]

I'm on it! enyst can track my progress at all-hands.dev

[openhands-ai]

Summary of work completed

Checklist

• Pulled the latest example script from OpenHands/software-agent-sdk PR #1166 (branch feat/apply-patch-tool-gpt5-1, SHA adcb46d5)
• Synced the code block in docs page to that example:
  • File updated: sdk/guides/agent-apply-patch-gpt5-1.mdx
  • Change included removal of native_tool_calling=True to match the current example
• Removed the “This example is available on GitHub …” note from this page as requested
• Committed and pushed changes to the docs branch feat/apply-patch-tool-gpt5-1

Git

• Commit: bc8f15c
• Message: docs(sdk): sync GPT-5.1 ApplyPatch example and remove GitHub source note
• Scope: Only the targeted guide was changed; no extraneous edits

Result

• The guide now embeds the up-to-date example code from the SDK PR and no longer references the GitHub location, per your instructions.

_{View full conversation}