Replace manualProviders.ts with a paymentProviders.ts registry (automatic vs manual settlement) and move all seat counting into capacity.ts as the single source of truth: only paid/checked-in tickets and pending_approval payments hold a seat, so abandoned checkouts never block sales. Admins can now knowingly approve a payment over capacity (allowOverCapacity), with the booking and admin UIs updated to match. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>