Browser Extension within "Google Workspace (G-Suite)"

The Chrome browser is very locked down when logedin to a Google Workspace account, as this is handled by your organization. The problem is when Google Workspace is not the only system that one use and also need effective authentications outside the browser windows.
Google offers (almost forces) you to save information within your account. Though I haven’t seen any option to use this outside the browser, or on any alternate system.

I have been trying to find a way to install the browser extension manually or by import and Bitwarden is not listed as an addon?
I suspect that it has to be published in the Google Workspace Store (Google Play).

I suspect that Bitwarden has to offer the extension to users of the Google Workspace service. There are other third party password managers available there.

Best regards,