Creating a new database on AlloyDB using terraform

I have created a new AlloyDB cluster and instance on GCP AlloyDB using erraform. As per the docs, the default database name is postgres and I am able to connect successfully to it using psql command.

Now, I need to create a new database with a different name using terraform. However, I am not able to find any documentation on what resource type can be used for doing so. I tried using google_sql_database but it did not work