[otlp] Replace the current trace implementation with the new one

[rajkumar-rangaraj]

Fixes Part of #5730
Design discussion issue #

Changes

Please provide a brief description of the changes here.

Replaced the current trace implementation with the new one. Deleted all existing implementations and renamed the new implementation to the existing names.

Merge requirement checklist

• CONTRIBUTING guidelines followed (license requirements, nullable enabled, static analysis, etc.)
• Unit tests added/updated
• Appropriate CHANGELOG.md files updated for non-trivial changes
• Changes in public API reviewed (if applicable)

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 85.17%. Comparing base (7eeddf5) to head (3346ed8).
Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #6003      +/-   ##
==========================================
+ Coverage   85.03%   85.17%   +0.13%     
==========================================
  Files         276      272       -4     
  Lines       12693    12420     -273     
==========================================
- Hits        10794    10579     -215     
+ Misses       1899     1841      -58     

Flag	Coverage Δ
unittests-Project-Experimental	85.14% <100.00%> (+0.11%)	⬆️
unittests-Project-Stable	84.89% <100.00%> (-0.09%)	⬇️

Flags with carried forward coverage won't be shown. Click here to find out more.

Files with missing lines	Coverage Δ
...ation/ExportClient/ProtobufOtlpHttpExportClient.cs	82.35% <100.00%> (ø)
...TelemetryProtocol/OtlpExporterOptionsExtensions.cs	88.53% <100.00%> (+2.89%)	⬆️
...xporter.OpenTelemetryProtocol/OtlpTraceExporter.cs	89.28% <100.00%> (+9.28%)	⬆️
...metryProtocol/OtlpTraceExporterHelperExtensions.cs	97.26% <100.00%> (+1.26%)	⬆️

... and 9 files with indirect coverage changes

[CodeBlanch]

LGTM