infra(release): use PAT for releases

[ST-DDT]

This PR changes the release steps to use a fixed PAT instead of github-actions bot.

This should solve the issues with the CI not running automatically on push/being unable to push to vX branches.

• Test PR: chore(release): test-release-PR #3028
• Related actions: https://github.com/faker-js/faker/actions/runs/10084426339/job/27883189013?pr=3028

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[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 99.95%. Comparing base (5b32959) to head (e5717e4).

Additional details and impacted files

@@            Coverage Diff             @@
##             next    #3029      +/-   ##
==========================================
- Coverage   99.96%   99.95%   -0.02%     
==========================================
  Files        2747     2747              
  Lines      226148   226148              
  Branches      943      935       -8     
==========================================
- Hits       226079   226050      -29     
- Misses         69       98      +29     

see 1 file with indirect coverage changes

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