Settles the whole order with one tender and marks it paid, then posts it to Cloudbeds as a POS check: a room_charge to the guest's reservation folio (the order's reservation_id), a house_account payment to the chosen account, and any other tender to the outlet's house account, settled to zero, so the revenue is recorded.

If the folio posting fails, the payment still stands: the order shows the folio error, and POST /pos/orders/{order_id}/folio/retry posts it again.

Do not use this on an order that already has captured payments — use POST /pos/orders/{order_id}/payments/ for the remainder. Requires a staff token.