Hi @Ben6746
I sync my Airbnb calendar with one local accommodation booking site. It's slow in both directions - Airbnb only checks for updates on the other site every so many minutes (I don't know how many!) and similarly, the other site only periodically checks Airbnb for updates.
When I receive a last-minute booking, I always go to the site where I didn't receive the booking and manually sync that calendar, just to be sure it doesn't get booked there as well. I don't know how else to solve the problem. I only do this for last-minute bookings, because far-off dates are unlikely to get booked on both sites before the next auto-sync.
Absolutely not the solution you were looking for, I'm sure!