> Support for the UI is implemented in a DuckDB extension. The extension embeds a localhost HTTP server, which serves the UI browser application, and also exposes an API for communication with DuckDB. In this way, the UI leverages the native DuckDB instance from which it was started, enabling full access to your local memory, compute, and file system.

Given the above I'm not sure it supports SSH functionality? Since it exposes an API though there is probably a way to access it, but the easiest solution is probably the one you don't want, which is to open the expected port and just hit it up in a browser. You could open it only to your (office/VPN) IP address, that way at least you're only exposing the port to yourself.