DMA does not support database migrations to Azure SQL Managed Instance. Recommendation is to use the Azure SQL migration extension for Azure Data Studio, which supports both online and offline database migrations to Azure SQL Managed Instance, but here we don't have the option "Azure SQL migration extension for Azure Data Studio".
https://learn.microsoft.com/en-us/sql/dma/dma-overview?view=sql-server-ver16#capabilities Regarding log shipping to Managed Instance is not possible; it only supports the restore of full backups.
https://dba.stackexchange.com/questions/232332/is-it-possible-to-log-ship-from-on-premise-sql- server-to-azure-sql-managed-insta
https://docs.microsoft.com/en-us/azure/azure-sql/migration-guides/managed-instance/sql-server- to-managed-instance-guide