docs: sync code blocks and generate API reference

[github-actions]

Summary of changes

This PR automatically syncs code blocks in documentation with their corresponding source files from the agent-sdk repository, and generates API reference documentation.

Agent SDK Reference: main

Changes Made

• Updated code blocks in MDX files to match the current state of example files in agent-sdk
• Generated API reference markdown files
• This is an automated sync performed by the sync-docs-code-blocks workflow

Checklist

• I have read and reviewed the documentation changes to the best of my ability.
• If the change is significant, I have run the documentation site locally and confirmed it renders as expected.