fix(telemetry): use tracer's service, env and runtime ID

[dmehala]

Description

This fixes a regression introduced during the telemetry module refactoring. When the telemetry module is initialized in the tracer context, it now correctly uses the tracer's service name, environment, and runtime ID to ensure consistency.

Changes:

• fix reported baggage configuration values.

[pr-commenter]

Benchmarks

Benchmark execution time: 2025-06-09 17:11:04

Comparing candidate commit 36afe44 in PR branch dmehala/telemetry/set-usm with baseline commit fe21e68 in branch main.

Found 0 performance improvements and 0 performance regressions! Performance is the same for 1 metrics, 0 unstable metrics.

[codecov-commenter]

Codecov Report

Attention: Patch coverage is 53.33333% with 7 lines in your changes missing coverage. Please review.

Project coverage is 86.45%. Comparing base (fe21e68) to head (36afe44).
Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
src/datadog/telemetry/telemetry.cpp	22.22%	7 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #219      +/-   ##
==========================================
- Coverage   86.56%   86.45%   -0.11%     
==========================================
  Files          80       80              
  Lines        5248     5251       +3     
==========================================
- Hits         4543     4540       -3     
- Misses        705      711       +6     

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