chore(elements): Move publishing to normal repo workflow again

[LekoArts]

Description

This PR reverts https://github.com/clerk/javascript/pull/2752, https://github.com/clerk/javascript/pull/2801, and https://github.com/clerk/javascript/pull/2803. It also removes @clerk/elements from the changesets ignore array. This is all because we want to release Clerk Elements with the normal changesets workflow again.

Fixes SDK-1652

Checklist

• [x] npm test runs as expected.
• [x] npm run build runs as expected.
• [ ] (If applicable) JSDoc comments have been added or updated for any package exports
• [ ] (If applicable) Documentation has been updated

Type of change

• [ ] 🐛 Bug fix
• [ ] 🌟 New feature
• [ ] 🔨 Breaking change
• [x] 📖 Refactoring / dependency upgrade / documentation
• [ ] other:

[changeset-bot[bot]]

🦋 Changeset detected

Latest commit: d79fbce2f1d3e7d96c071d0288934380ee1f632b

The changes in this PR will be included in the next version bump.

This PR includes changesets to release 1 package

Name	Type
@clerk/elements	Patch

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