chore(repo, clerk-react): Remove references to deprecated `clerk_frontend_api` key

[LauraBeatris]

Description

Removes references from deprecated clerk_frontend_api, clerk_publishable_key should be used instead.

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: 45922c2a93ce0eef9a5893e72daed3dd7f77be8d

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

This PR includes changesets to release 7 packages

Name	Type
@clerk/clerk-js	Patch
@clerk/clerk-react	Patch
@clerk/chrome-extension	Patch
@clerk/clerk-expo	Patch
gatsby-plugin-clerk	Patch
@clerk/nextjs	Patch
@clerk/remix	Patch

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[LauraBeatris]

Seems like we could remove this as well

@panteliselef Updated!

[LauraBeatris]

Re-opening it on https://github.com/clerk/javascript/pull/3288, this branch is from a forked repo so I think this is the cause of not allowing to run integration tests.