Hi @Shubhi Jain , welcome to Microsoft Q&A forum.
As you rightly mentioned that online migration is no more supported for Azure SQL Database however it is still supported for Azure SQL Managed Instance.
For Azure SQL Database, for continuous migration you can use Transaction Replication. It provides a continuous replication option to migrate data (without taking the databases offline). You can refer to below screenshot for more details and limitation on using it:
Also, please check many other ways to migrate the on-premise database to Azure SQL but I would suggest you to read through the consideration carefully and choose accordingly. Below is the link of reference on it:
Migration overview: SQL Server to Azure SQL Database
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