You need to figure out if they are collecting the entire tax or just part of it. Then when you go to file quarterly, you will have to calculate what was turned into the state, what was turned into the county, etc. from all of your bookings.
I file monthly. The state said I could put Airbnb sales under "exempt." Just don't assume they are collecting the full tax amount. Be sure to verify it. I would recommend even testing trying to book your property as a guest, but not actually going through with it.