Copy Azure Hyperscale DB
Database copy for Hyperscale is now in Public Preview as announced here on Sep 22, 2020.
If you don't like the current functionality, another option is creating a new database by restoring an existing backup.
When a copy is needed to another region use a geo-restore of the database. Create a SQL Database server in the target region if you do not already have an appropriate server there. This server should be owned by the same subscription as the original (source) server. Finally perform steps provided here.