feat(release): Replace release bot with GH app

[Jeffreyhung]

The getsentry-release is a GitHub bot account that is used in various automation, and the ${{ secrets.GH_RELEASE_PAT }} is a personal access token from that bot account. We are using a regular GitHub account as a bot while it should be a non-human account since there are no humans behind it. Hence, we are replacing it with a GitHub App.

Functionality wise, there will be no difference.

More details: https://www.notion.so/sentry/DACI-Replace-GitHub-bot-accounts-with-GitHub-Apps-getsentry-release-15109965d1204a91b9be71c49e8b66e0?pvs=4

#skip-changelog

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 79.97%. Comparing base (26479b2) to head (6311cb8).
Report is 1 commits behind head on master.

✅ All tests successful. No failed tests found.

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #3868      +/-   ##
==========================================
+ Coverage   79.93%   79.97%   +0.03%     
==========================================
  Files         137      137              
  Lines       15403    15403              
  Branches     2620     2620              
==========================================
+ Hits        12313    12319       +6     
+ Misses       2219     2212       -7     
- Partials      871      872       +1     

see 3 files with indirect coverage changes