At Daily, they've developed a flexible video and audio-only API that can be used with any frontend framework or no framework at all. They've created several demos to cover various use cases, including a new Vue demo app. The Vue demo app allows users to join a Daily call and control the call programmatically using instance methods provided by daily-js. The controls include features such as toggling the local camera, turning on/off the microphone, sharing the screen, expanding fullscreen, and leaving the call. With this tutorial, developers can add Daily video chat to their Vue projects and customize their experience further by updating the color theme.