docs: Add documentation for Bun.sh

[Pietrucci-Blacher]

Hello, here is my little proposal to add Bun.sh in the current documentation.

Updated sections :

• Installation
• Publishing

I'll be happy to listen to any modifications, especially regarding the positioning in the code-group, where I'm not entirely sure.

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[aklinker1]

Thanks! Looks good, putting it last is fine 👍

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 86.56%. Comparing base (da92449) to head (0597050).
Report is 7 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #543      +/-   ##
==========================================
- Coverage   86.84%   86.56%   -0.29%     
==========================================
  Files         111      111              
  Lines        8863     8864       +1     
  Branches      879      876       -3     
==========================================
- Hits         7697     7673      -24     
- Misses       1152     1177      +25     
  Partials       14       14              

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