With DS (and HTMX) the backend is the source of truth. In the context of the blog post, the state will be made-up of: step no, file content, file path, etc. This can be stored against the session ID in a database.
So when opened on a different tab, the backend would do authentication and render the page depending on the store state.
In general, the backend must always compare the incoming state/request with stored state. E.g the current step is step 2 but the client can forces it to go to step 4 by manipulating the URL.
DS v1.0 now supports non-SSE (i.e. simple request/response interaction as well) [1]. This is done by setting appropriate content-type header.
[1] https://data-star.dev/reference/actions#response-handling