Wire up the contact form

[davidtaing]

The contact form at /contact renders and validates, but has no action — submitting it does nothing. There is no backend in this repo.

Until it is wired, the working paths on that page are the mailto link and the booking link.

Where: src/app/contact/page.tsx — the form is marked with a comment at the <form> element.

Fields: name, email, phone, message (all required).

What needs deciding

• Route handler or form service? A Next.js route handler keeps it in-repo but needs somewhere to send the mail from (Resend, Postmark, SES) and a secret to hold it. A hosted form service (Formspree, Web3Forms) needs no backend but adds a third party to the stack.
• Where submissions land. Currently info@code.sydney, until Bluehex has its own address.
• Spam handling. A public form with no protection will get scraped. Turnstile or a honeypot.

Acceptance

• Submitting delivers the message somewhere a human reads.
• The form reports success and failure to the person filling it in, rather than silently doing nothing.
• No secret is required at build time — next build must keep working without it, including on preview deployments.