A developer can build an automated vaccine appointment system with Twilio Studio and Serverless, enabling patients to confirm, cancel, or reschedule appointments via SMS. The system integrates with Airtable as a mock Electronic Health Record (EHR) database, allowing for seamless data exchange between the two platforms. The prototype includes functionalities such as sending appointment reminders, handling patient responses, updating appointment status, and checking for patients on the waitlist. Once deployed, the system can be tested using POST requests, and its performance can be monitored through live logs and debugging tools. The system is designed to be scalable and adaptable to specific healthcare provider needs, making it an effective solution for streamlining vaccine administration processes.