Google Calendar

I've sent the Scheduling link to several people. When they use it to schedule, Zoom posts a notification to my Google Calendar. All good there. The problem is that if something is already on the Google calendar for that time, Zoom schedules over it. I've had to call clients several times  now to apologize because the Zoom time they chose from the Scheduler conflicted with a meeting that was already on my Google calendar. Is there a way to keep the Scheduler from allowing clients to choose times that are already filled on my Google Calendar? Can Zoom "see" my Google calendar and recognize the time slots that are already filled?