In Entrata there are four calendar event categories. Through the API, Entrata is checking only 3: Resident, Leasing and General. The remaining one, Maintenance, is not taken into consideration for blocking off times as unavailable on the calendar. Personal calendars are not taken into consideration either.
To ensure MeetElise books times during available slots, be sure to put any and all blackouts or unavailable times on either the Resident, Leasing or General event categories.
Recurring events do block out the API.