I could not test it because I am also facing 403 error - UK.

Anyway...

If you are interested, there is also an open-source way to do exactly this and it works with your existing subscriptions and local models too - your data is kept private on your devices.

You can make the game, stream it directly from your AI hub or play it locally on your devices. You can cast it on the TV while converting your phone into a controller (with haptics support) or you can connect physical game controllers for local co-op.

https://github.com/pdparchitect/noodle

The README does not talk about this feature but you can find videos in my twitter account.