Website - Convert Form Primitive demos to new format (HDS-5850)

[KristinLBradley]

📌 Summary

If merged, this PR converts the Form Primitive demos to the new format.

Previews:

• Current: https://helios.hashicorp.design/components/form/primitives?tab=code
• Updated: https://hds-website-git-kristin-hds-5850-form-primitiv-33e114-hashicorp.vercel.app/components/form/primitives?tab=code

🔗 External links

• Jira ticket: HDS-5850

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👀 Component checklist

• [ ] Percy was checked for any visual regression
• [ ] A changelog entry was added via Changesets if needed (see templates here)

💬 Please consider using conventional comments when reviewing this PR.

📋 PCI review checklist

• If applicable, I've documented a plan to revert these changes if they require more than reverting the pull request.
• If applicable, I've worked with GRC to document the impact of any changes to security controls.
  Examples of changes to controls include access controls, encryption, logging, etc.
• If applicable, I've worked with GRC to ensure compliance due to a significant change to the in-scope PCI environment.
  Examples include changes to operating systems, ports, protocols, services, cryptography-related components, PII processing code, etc.

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Project	Deployment	Actions	Updated (UTC)
hds-showcase	Ready	Preview	Feb 7, 2026 0:01am
hds-website	Ready	Preview	Feb 7, 2026 0:01am