Here is a way to backup the Azure Database and restore using .bacpac restore / export-import method
You can also use export import method
Step 1: Export the source database in .bacpac format and store it into the storage account or local storage
Step 2 : Import the bacpac into destination server
Here are the reference document
Export - https://learn.microsoft.com/en-us/azure/azure-sql/database/database-export
Import- https://learn.microsoft.com/en-us/azure/azure-sql/database/database-import?tabs=azure-powershell
Blog: https://www.mssqltips.com/sqlservertip/5189/restore-an-azure-sql-database-from-one-server-to-another-server/
Thank you!