Integrate lightning_utilities.core.rank_zero

[carmocca]

What does this PR do?

Part of #14492
Blocked by Lightning-AI/utilities#36
Closes #14572

Does your PR introduce any breaking changes? If yes, please list them.

None

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cc @Borda @justusschock @awaelchli @rohitgr7

[tchaton]

LGTM !

[codecov]

Codecov Report

Merging #14556 (0432460) into master (8095e24) will increase coverage by 1%.
The diff coverage is 100%.

@@           Coverage Diff            @@
##           master   #14556    +/-   ##
========================================
+ Coverage      85%      85%    +1%     
========================================
  Files         347      347            
  Lines       26865    26814    -51     
========================================
+ Hits        22815    22916   +101     
+ Misses       4050     3898   -152     

[awaelchli]

It is a miracle!