Visual Indicator of Compute Server Scratch Directories in File Explorer

[Blaec-CoCalc]

Is your feature request related to a problem? Please describe.
It's arguably confusing to need to use the server drop-down selector in File Explorer to select a specific compute server to then see it's local fast directory.

Describe the solution you'd like
William Stein described a visual cue of sorts (which would enable one to select the compute server directly from the file explorer without toggling using the drop-down).

Additional context
Direct customer feedback request.