Try the official changesets action publish

[hsubox76]

Separating the release PR and publish into 2 workflows is causing a number of issues and a non-ideal setup requiring force-merges to main. Trying the officially recommended usage of the changesets github action:
https://github.com/changesets/action?tab=readme-ov-file#with-publishing

[changeset-bot]

⚠️ No Changeset found

Latest commit: e041e48

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

When changesets are added to this PR, you'll see the packages that this PR includes changesets for and the associated semver types

Click here to learn what changesets are, and how to add one.

Click here if you're a maintainer who wants to add a changeset to this PR