ci: remove PAT from release workflow

[michaelfaith]

PR Checklist

• Addresses an existing open issue: fixes #000
• That issue was marked as status: accepting prs
• Steps in CONTRIBUTING.md were taken

Overview

Taking inspiration from yargs, I've updated the workflows so that the release workflow no longer needs a PAT. This means CI won't automatically trigger on Release PRs anymore, but a maintainer can trigger CI by adding a ci label to the PR

[github-actions]

👋 Hi @michaelfaith, thanks for the pull request! A scan flagged some concerns with it. Could you please take a look?

[pr-task-completion] This PR's body is missing [x] checks on the following tasks from the PR template.

• Addresses an existing open issue: fixes #000
• That issue was marked as status: accepting prs

Repositories often provide a set of tasks that pull request authors are expected to complete. Those tasks should be marked as completed with a [x] in the pull request description. Please complete those tasks and mark the checks as [x] completed.

[pr-linked-issue] This pull request is not linked as closing any issues. This repository keeps to GitHub issues for discussing potential changes. Most or all changes should be marked as approved in an issue before a pull request is sent to resolve them. To resolve this report:

• If this is a straightforward documentation change that doesn't need an issue, you can ignore this report
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• Otherwise, file an issue explaining what you'd like to happen

🗺️ This message was posted automatically by OctoGuide: a bot for GitHub repository best practices.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 97.39%. Comparing base (4d802c5) to head (795b64a).
⚠️ Report is 3 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #1497   +/-   ##
=======================================
  Coverage   97.39%   97.39%           
=======================================
  Files          28       28           
  Lines         575      575           
  Branches      169      169           
=======================================
  Hits          560      560           
  Misses          1        1           
  Partials       14       14           

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[JoshuaKGoldberg]

Sweet.