FEAT: Field distribution extension

[gmalinve]

Description

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Issue linked

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Checklist

• I have tested my changes locally.
• I have added necessary documentation or updated existing documentation.
• I have followed the coding style guidelines of this project.
• I have added appropriate tests (unit, integration, system).
• I have reviewed my changes before submitting this pull request.
• I have linked the issue or issues that are solved by the PR if any.
• I have agreed with the Contributor License Agreement (CLA).

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[codecov]

Codecov Report

Attention: Patch coverage is 92.85714% with 5 lines in your changes missing coverage. Please review.

Project coverage is 85.07%. Comparing base (3b03b9f) to head (a0489d3).
Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #5818      +/-   ##
==========================================
+ Coverage   85.05%   85.07%   +0.01%     
==========================================
  Files         165      166       +1     
  Lines       62908    62978      +70     
==========================================
+ Hits        53505    53577      +72     
+ Misses       9403     9401       -2     

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