[chore] Fix the job updating otelcol core dependency

[dmitryax]

Fix https://github.com/open-telemetry/opentelemetry-collector-contrib/actions/runs/12713829455/job/35445661001 by adding missing path field. Other additions are improvements

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 79.58%. Comparing base (992d3b0) to head (ba59f88).
Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main   #37149      +/-   ##
==========================================
- Coverage   79.60%   79.58%   -0.02%     
==========================================
  Files        2252     2252              
  Lines      211920   211920              
==========================================
- Hits       168704   168667      -37     
- Misses      37549    37581      +32     
- Partials     5667     5672       +5     

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