Calendar Sync Issue

I am a psychiatrist and I use Wix for my website and Calendly for patient scheduling. The issue is that when a patient books a time slot in Calendly, that same slot still appears as available on my Wix website. Other patients can choose the same time, which may lead to double bookings.

I need someone to resolve the sync between Wix and Calendly so that booked time slots become unavailable and cannot be selected by other patients. I want the system to update automatically and keep all appointment schedules synchronized.

Please resolve this issue and ensure patients can only book available time slots without any confusion.