chore(clerk-js): Improve checkout error handling

[aeliox]

Description

Ensure we are properly catching and displaying checkout form errors. Also makes SubscriptionDetailDrawer badging style match the plan card badging.

Checklist

• pnpm test runs as expected.
• pnpm 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
• 📖 Refactoring / dependency upgrade / documentation
• other:

[changeset-bot]

🦋 Changeset detected

Latest commit: f4e6bec

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

This PR includes changesets to release 22 packages

Name	Type
@clerk/clerk-js	Patch
@clerk/types	Patch
@clerk/chrome-extension	Patch
@clerk/clerk-expo	Patch
@clerk/agent-toolkit	Patch
@clerk/astro	Patch
@clerk/backend	Patch
@clerk/elements	Patch
@clerk/expo-passkeys	Patch
@clerk/express	Patch
@clerk/fastify	Patch
@clerk/localizations	Patch
@clerk/nextjs	Patch
@clerk/nuxt	Patch
@clerk/react-router	Patch
@clerk/clerk-react	Patch
@clerk/remix	Patch
@clerk/shared	Patch
@clerk/tanstack-react-start	Patch
@clerk/testing	Patch
@clerk/themes	Patch
@clerk/vue	Patch

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Name	Status	Preview	Comments	Updated (UTC)
clerk-js-sandbox	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	Apr 16, 2025 10:55pm