Cross practitioner logic for online bookings

We need functionality that allows for cross practitioner parallell logic for online bookings, so that when practitioner A has a booking for a certain appointment type (e.g. "New patient / 30 min" at 10.30), this same appointment type gets blocked / removed from available appointments when making a booking online with practitioner B? This is because we’re not able to mange two “New patient / 30 min” bookings simultaneously.