Hi blubb •,
Welcome to Microsoft Q&A forum.
As I understand, you could not connect to Azure SQL Database using Azure Data Studio.
You have mentioned that IP address is added, and authentication type selected is SQL Login.
Please check if the SQL Server name is given correctly:
Try to update Azure Data Studio to the latest version if not already done.
Let us know if you are unable to connect with screenshots and server configuration details so that we can check at our end.
Awaiting your reply.
Thanks