[Tcode-Motion]

🎯 What: Extracted inline callbacks (make_mutex, mutex_lock, mutex_unlock) from register_sync in stdlib/src/sync.rs into standalone helper functions.
💡 Why: register_sync was excessively long due to inline closure definitions. Extracting standalone functions improves code readability, maintainability, and consistency with other stdlib modules.
✅ Verification: Verified changes visually with git diff, ran cargo fmt --all, and verified all workspace tests pass with cargo test --workspace --all-targets.
✨ Result: Simplified register_sync and improved stdlib code health without altering functionality.

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PR created automatically by Jules for task 11899040518104551010 started by @Tcode-Motion

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