[chore] Fix merge freeze CI, attempt 3

[jade-guiton-dd]

Description

Based on this debug log, we can now tell that the payload passed to the merge freeze job in the merge queue CI for otelbot PRs has author.name = "otelbot[bot]" and author.email = "197425009+otelbot[bot]@users.noreply.github.com".

That email is extremely surprising considering the patch output for otelbot's commits has almost the same email, but without the [bot] suffix...

This PR reverts back to a name-based check for simplicity, and removes the debug log. The result is very similar to #13516, but checking against the correct name.

Link to tracking issue

Fixes #13789

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 91.33%. Comparing base (f98d8b9) to head (e3eb49c).
⚠️ Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main   #13880      +/-   ##
==========================================
- Coverage   91.36%   91.33%   -0.03%     
==========================================
  Files         652      652              
  Lines       42665    42665              
==========================================
- Hits        38979    38969      -10     
- Misses       2860     2867       +7     
- Partials      826      829       +3     

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