How to get a "Chromecast with Google TV" on a Tailscale network?

Is it possible to install Tailscale on “Chromecast with Google TV”?
Or is it possible to otherwise get a Chromecast on a Tailscale network?

(It’s the new white Chromecast with the remote and AAA batteries: https://store.google.com/us/product/chromecast_google_tv)

Some users have successfully loaded tailscale on to Android TV devices. The supported method to access them over tailscale is to use a subnet router.

This will let you access it via it’s LAN IP from a tailnet device through another tailnet device which is on the same LAN.