Hi,
You can get a list of all instances of LocalDb from the command prompt with the SqlLocalDb.exe program, which is in your PATH by default:
sqllocaldb info
SqlLocalDB.exe is a simple tool that enables the user to easily manage LocalDB instances from the command line.
You can try to use SSMS to connect to localdb instance in (LocalDB)\LocalDBApp1 format.
The easiest way to use LocalDB is to connect to the automatic instance owned by the current user by using the connection string Server=(localdb)\MSSQLLocalDB;Integrated Security=true. To connect to a specific database by using the file name, connect using a connection string similar to Server=(LocalDB)\MSSQLLocalDB;Integrated Security=true;AttachDbFileName=D:\Data\MyDB1.mdf
https://learn.microsoft.com/en-us/sql/database-engine/configure-windows/sql-server-express-localdb?view=sql-server-ver15#connect-to-the-automatic-instance