iCal Support to Sync Bookings to OTA

Hi, We have our room listings on travel aggregators like MakeMyTrip. How do i sync bookings using iCal. If any one books room on OTA can i automatically block that date on website?

For example, i have 15 rooms in “Deluxe Room” type. I get one room booking for Monday-Tuesday from OTA. So i need to show 14 room available for Monday-Tuesday for “Deluxe Room”