fix: event logging with nested chats

[robraux]

Replaces PR #2582 per @ekzhu to run the open ai tests.

Why are these changes needed?

Runtime error encountered with autogen.runtime_logging.start when using nested chats.

Related issue number

Closes #2573
Replaced PR #2582

Checks

• I've included any doc changes needed for https://microsoft.github.io/autogen/. See https://microsoft.github.io/autogen/docs/Contribute#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.

[codecov-commenter]

Codecov Report

Attention: Patch coverage is 0% with 3 lines in your changes are missing coverage. Please review.

Project coverage is 22.81%. Comparing base (372ac1e) to head (abc4902).
Report is 3 commits behind head on main.

Files	Patch %	Lines
autogen/agentchat/conversable_agent.py	0.00%	3 Missing ⚠️

Additional details and impacted files

@@             Coverage Diff             @@
##             main    #2600       +/-   ##
===========================================
- Coverage   33.11%   22.81%   -10.31%     
===========================================
  Files          86       86               
  Lines        9108     9109        +1     
  Branches     1938     2090      +152     
===========================================
- Hits         3016     2078      -938     
- Misses       5837     6795      +958     
+ Partials      255      236       -19     

Flag	Coverage Δ
unittests	22.76% <0.00%> (-10.35%)	⬇️

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