ci: set permissions to release workflow

[AriPerkkio]

What Changed

CI fails to publish from main:

• https://github.com/chromaui/chromatic-e2e/actions/runs/23839811708/job/69492303858

/usr/bin/git push origin HEAD:changeset-release/main --force
remote: Permission to chromaui/chromatic-e2e.git denied to github-actions[bot].
fatal: unable to access 'https://github.com/chromaui/chromatic-e2e/': The requested URL returned error: 403
Error: Error: The process '/usr/bin/git' failed with exit code 128
Error: The process '/usr/bin/git' failed with exit code 128

Reading related issues from changeset repo, it's related to permissions.

How to test

Let's merge and see if CI is able to publish.

[changeset-bot]

⚠️ No Changeset found

Latest commit: fcb1509

Merging this PR will not cause a version bump for any packages. If these changes should not result in a new version, you're good to go. If these changes should result in a version bump, you need to add a changeset.

This PR includes no changesets

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[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 95.75%. Comparing base (bf9e686) to head (fcb1509).
⚠️ Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main     #297   +/-   ##
=======================================
  Coverage   95.75%   95.75%           
=======================================
  Files          14       14           
  Lines         400      400           
  Branches       68       68           
=======================================
  Hits          383      383           
  Misses         16       16           
  Partials        1        1           

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[AriPerkkio]

Now we are running into another upstream blocker: #298 😅