Earlier quoted context omitted.
Is there documentation somewhere for the self-hosted environment option, which according to the product landing page and pricing page is no cost? I'm guessing the flow there is to use VSCode through the online site, but give ssh credentials to one of your servers that's running the Remote SSH VSCode environment. But once I go to Create an Environment, there's no option for a self-hosted one.
Yep! Check out this doc and let us know if you have any questions/feedback: https://aka.ms/vso-docs/vscode/self-hosted .
I can register my local VSCode just fine. When I connect to a remote ssh connection, and try to register that environment, I get a prompt telling me "Failed to register local environment: Install the Azure Account extension". When I look up that extension, I can install it in the SSH environment, but I get the same error still.