Global error handler cleanup - baggage propagator

[lalitb]

Changes

Depends on: #2250 to be merged first.

Merge requirement checklist

• CONTRIBUTING guidelines followed
• Unit tests added/updated (if applicable)
• Appropriate CHANGELOG.md files updated for non-trivial, user-facing changes
• Changes in public API reviewed (if applicable)

[codecov]

Codecov Report

Attention: Patch coverage is 16.66667% with 5 lines in your changes missing coverage. Please review.

Project coverage is 79.5%. Comparing base (ed4d379) to head (1fce86f).
Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
opentelemetry-sdk/src/propagation/baggage.rs	16.6%	5 Missing ⚠️

Additional details and impacted files

@@           Coverage Diff           @@
##            main   #2251     +/-   ##
=======================================
- Coverage   79.6%   79.5%   -0.1%     
=======================================
  Files        121     121             
  Lines      20938   20932      -6     
=======================================
- Hits       16668   16656     -12     
- Misses      4270    4276      +6     

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[cijothomas]

same as #2250 (review)