I see you installed version 20.2
20.2 does not install Data Studio alongside. For SQL Server Management Studio (SSMS) 18.7 through 19.3, Azure Data Studio is automatically installed alongside SSMS.
This is documented below. See: https://learn.microsoft.com/en-us/sql/ssms/download-sql-server-management-studio-ssms?view=sql-server-ver16
If you require data studio you could decide to install by downloading from here:
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Regards,
Abiola