[CI] Disable codecov on push - it doesn't work

[lukaszstolarczuk]

Ref. #1465

[codecov-commenter]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 12.43%. Comparing base (78ef1ca) to head (adc5c30).
Report is 194 commits behind head on main.

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Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1466      +/-   ##
==========================================
- Coverage   14.82%   12.43%   -2.40%     
==========================================
  Files         250      241       -9     
  Lines       36220    36242      +22     
  Branches     4094     4111      +17     
==========================================
- Hits         5369     4506     -863     
- Misses      30800    31732     +932     
+ Partials       51        4      -47     

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