[PR #213/bed633be backport][stable-2] Adjust docs publishing workflow

[patchback]

This is a backport of PR #213 as merged into main (bed633b).

SUMMARY

Ref: ansible-community/github-docs-build#92

ISSUE TYPE

• Docs Pull Request

COMPONENT NAME

CI

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 96.81%. Comparing base (670de50) to head (09a2255).

Additional details and impacted files

@@             Coverage Diff              @@
##           stable-2     #214      +/-   ##
============================================
- Coverage     96.84%   96.81%   -0.03%     
============================================
  Files           110      110              
  Lines          7505     7505              
  Branches       1064     1064              
============================================
- Hits           7268     7266       -2     
- Misses          170      172       +2     
  Partials         67       67              

Flag	Coverage Δ
integration	42.74% <ø> (-0.13%)	⬇️
sanity	31.64% <ø> (ø)
units	96.10% <ø> (ø)

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