Global error handler cleanup - trace API

[lalitb]

Fixes #
Design discussion issue (if applicable) #

Changes

Please provide a brief description of the changes here.

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 0% with 4 lines in your changes missing coverage. Please review.

Project coverage is 79.5%. Comparing base (4c7bf58) to head (a87c757).
Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
opentelemetry/src/trace/context.rs	0.0%	4 Missing ⚠️

Additional details and impacted files

@@           Coverage Diff           @@
##            main   #2252     +/-   ##
=======================================
- Coverage   79.5%   79.5%   -0.1%     
=======================================
  Files        121     121             
  Lines      20938   20941      +3     
=======================================
- Hits       16666   16664      -2     
- Misses      4272    4277      +5     

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