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

[github-actions]

	Messages
📖	Do not forget to update Sentry-docs with your feature once the pull request gets approved.

Generated by 🚫 dangerJS against 5a78c67

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 77.00%. Comparing base (d5983f7) to head (5a78c67).
Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main     #301   +/-   ##
=======================================
  Coverage   77.00%   77.00%           
=======================================
  Files          39       39           
  Lines         635      635           
  Branches       86       86           
=======================================
  Hits          489      489           
  Misses        100      100           
  Partials       46       46           

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