I'd love to get this as a self-hosted web service, so that I could access my infinite terminal canvas from any browser. It should of course held the sessions in the background even when I'm not connected.
Right now Cate is a local desktop app because we wanted the first version to work closely with local projects, shells, files, node-pty/xterm, browser panels, Monaco, git worktrees, etc.
A self-hosted web version would need a different architecture: a backend that owns the PTY sessions, keeps them alive when the browser disconnects, handles auth/security, and syncs the canvas state to the client. Definitely possible, but a bigger shift than just “put the current app in the browser”.
Long term I think remote/headless workspaces and reconnectable sessions would make a lot of sense.