Add a "Sync to Public Page" button that creates/updates one rental_calendar
amenity per lot (name, size · rate · availability in the description, rate in
booking_config, shown on the public page). Idempotent via amenities.source_rv_lot_id;
removes synced amenities for deleted lots.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
