I understand that. There's no way to have the web store install a native app.
But once you have "installed" the web app, how would the API server have any idea whether a Google Drive API request was coming from a web server, some JavaScript running in a web browser, an Android app, or a remote island in the Pacific that has no electricity via the "IP over Avian Carriers" protocol? It's just HTTP requests with some authorization headers that tie it to your app's identity.