Can a prompt replace Cal.com Teams?

Build a single-user booking page: connect one Google Calendar via OAuth, publish available time slots computed from configurable working hours, a minimum-notice window, and a booking horizon, and let a visitor reserve a conflict-free slot without creating an account. Use Next.js/TypeScript with Google Calendar's OAuth and Calendar API, and Postgres to store the account's settings and booking records. Calculate availability by fetching busy blocks from the connected calendar, subtracting them from configured working hours, and rendering the result in the visitor's browser-detected timezone (compute everything server-side in UTC first). When a visitor books, create the event transactionally — check for conflicts and write the calendar event in one step to avoid a race that double-books the same slot under concurrent requests. Send a confirmation email with a signed cancel/reschedule link (no login required) via a transactional email provider. Support exactly one event type (a fixed duration and description) rather than Cal.com's multiple configurable event types. Do not build support for Outlook or Apple Calendar, team/round-robin routing, or payment collection — those are explicitly out of scope; self-hosting the real open-source Cal.com is the better answer if you need them. Needs a Google OAuth app (free to register), a domain to host the booking page, and a transactional email provider for confirmations.