Show which connection you are on

[jepzen]

Type: Feature Request

I have a lot of tabs opened and in the top i can which database im using. But i can not easily see which connection im using. So getting an overview across different environments is hard. I have to press "change" so where i am connected

Azure Data Studio version: azuredatastudio 1.51.0 (3e1c6f5, 2025-01-27T22:04:07.577Z)
OS version: Darwin arm64 24.1.0
Restricted Mode: No
Preview Features: Enabled
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