Hi orion199 ,
I don't believe what you are asking is possible. Bookings directly connects to one staff member's calendar in order to book that staff member for the appointment. A possible workaround would be to create a group email account and add that as a staff member. Then when that "staff" member who is actually the group email account gets booked then the appointment will be added to the group's calendar and all the staff members who are a part of that group (you panel staff members) will see what appointments are booked for the three of them.
Otherwise, you'll have to choose one person who will be the lead for that service and the other staff members would have to look at their calendar or check bookings calendar. Personally I think the group email solution is the best option. 🙂