[docs] Refresh getting started with AspNetCore and Jaeger

[Kielek]

Fixes #5739

Changes

Refresh getting started with AspNetCore and Jaeger
Opportunistic update of Instrumentation packages from contrib repository.

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 86.27%. Comparing base (6250307) to head (35586a5).
Report is 276 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #5740      +/-   ##
==========================================
+ Coverage   83.38%   86.27%   +2.88%     
==========================================
  Files         297      254      -43     
  Lines       12531    11057    -1474     
==========================================
- Hits        10449     9539     -910     
+ Misses       2082     1518     -564     

Flag	Coverage Δ
unittests	?
unittests-Project-Experimental	86.16% <ø> (?)
unittests-Project-Stable	85.87% <ø> (?)
unittests-Solution	86.24% <ø> (?)
unittests-UnstableCoreLibraries-Experimental	85.86% <ø> (?)

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see 197 files with indirect coverage changes