Vapi AI Integration with Google Calendar

We're looking for an automation expert to quickly set up an AI voice agent booking integration using Zapier.

Requirements:
• Connect Vapi AI (Voice Agent) to Google Calendar via Zapier.
• Real-time availability checking in Google Calendar so that the voice agent can suggest available appointment slots during calls.
• Automatically add booked appointment details (name, phone, date/time) into Google Calendar.
• Allow customers to call back the voice agent to cancel or reschedule appointments.

Technologies:
• Vapi AI for voice interaction (already in place)
• Google Calendar for booking management
• Zapier for automation and integration

Timeline:
Immediate start required. Please confirm your earliest completion timeline

Include your previous work is mandatory.