BookingSync integration -> problem with Airbnb reservations

We are managing our reservations via Bookingsync (Airbnb,, Abritel, TripAdvisor …)

I connected Nuki web with Bookingsync then.

I had a reservation via Airbnb and the automatic message did not get sent on the Airbnb app, only by email, the client didn’t got it and we had trouble checking him in.

Then to avoid this issue again, I connected (integration) Airbnb on top of Bookingsync on the Nuki Web but this seems to me wrong, by connecting BookingSync, the message should be send on every OTA.
Thanks a lot