Syncing Bookings on 2 websites

Hi,

I have created my website with a booking page its for a cottage where clients can book the period they want and pay, all works well. The property is also advertised on another third party website which also takes booking on my behalf.

I need to sync the two site so that the availability is seen across both sites, the the third part say that I need a ical feed from squarespace, is this possible and how do I do that?

Any help as always much appreciated 🙂

Thanks