Google Calendar and Zoom Scheduler do not synchronize/ match free and blocked times

Hello Community,
I have a Zoom One Pro license and also subscribed to Zoom Scheduler. Zoom Scheduler allows to book appointments for Zoom meetings directly on my website. This works as far as it goes. However, I would like to simplify the booking process for me by syncing Zoom and my Google Calendar. As soon as I block a time slot in Google Calendar, this time slot should also no longer show up as an available appointment on my website. Even though I linked Google Calendar in the Zoom account and clicked sync, it doesn't work. When I block a time slot in Google Calendar, it still shows up as available on Zoom. Does anyone know this problem and has been able to resolve it?