Open url in browser with current session cookies

[econic]

My app logs into a backend with a session cookie.
For downloading a file from that backend, i thought about opening that file's uri in a new browser window, but had to realize that with both adding its domain to allowNavigation and opening the url with the Capacitor Browser Plugin doesn't carry the session over to that request, so that the user cannot download the file.

What is the best approach to make a download request with a session cookie that was set within the capacitor app?