fix: Prevent double using_auto_reply events when using async run

[marklysze]

Why are these changes needed?

When running chats asynchronously (via .a_run), the using_auto_reply event was being emitted twice per speaker turn.

This occurred because a_generate_reply iterates through all registered reply functions and calls both sync and async versions. Since check_termination_and_human_reply (sync) and a_check_termination_and_human_reply (async) are both registered, both were being executed and each emitted the UsingAutoReplyEvent and incrementing _consecutive_auto_reply_counter.

The sync generate_reply method correctly skips async functions, but the async a_generate_reply was not skipping sync functions that have async equivalents.

This fix adds a utility method _get_sync_funcs_to_skip_in_async_chat that identifies sync functions with async counterparts (by detecting async functions registered with ignore_async_in_sync_chat=True and matching them to their sync equivalents via the 'a_' naming convention). The a_generate_reply method now skips these sync functions, ensuring only the async version is called. This eliminates duplicate events and prevents double-incrementing of the auto-reply counter.

Related issue number

N/A

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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[priyansh4320]

thanks @marklysze reviewed and tested approving this PR, also added a couple integration tests.

[codecov]

Codecov Report

❌ Patch coverage is 94.11765% with 1 line in your changes missing coverage. Please review.

Files with missing lines	Patch %	Lines
autogen/agentchat/conversable_agent.py	94.11%	0 Missing and 1 partial ⚠️

Files with missing lines	Coverage Δ
autogen/agentchat/conversable_agent.py	64.00% <94.11%> (-10.09%)	⬇️

... and 111 files with indirect coverage changes

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