What is the procedure to integrate the Google Calendar API into an Android application using Jetpack Compose and Kotlin?

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The steps to integrate Google Calendar API into an Android application using Jetpack Compose and Kotlin are as follows:

1. Create a new project in Android Studio.
2. Add the Google Calendar API dependency in the build.gradle file.
3. Create a new project in the Google Cloud Console and enable the Google Calendar API.
4. Create a new credential for the API and generate an API key. Add the API key to the AndroidManifest.xml file.
5. Create an Activity that will handle the Google Calendar API.
6. Create a ViewModel that will handle the state of the Activity.
7. Create a Composable function that will display the list of events from the Google Calendar API.
8. Use the ViewModel to fetch events from the API and display them in the Composable function.
9. Handle API errors and display error messages to the user.
10. Add user authentication to the Google Calendar API by using OAuth 2.0.

Note: This is a high-level overview and each of the above steps requires further implementation.