Apple Music Casting Apple Music from iOS -is it possible?

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I can’t seem to find a way to cast music from Apple Music (iOS) to Chromecast Audio.

Is it possible? Do I really need to buy an Android device to do this, because if so I might as well go back to Spotify.

Note, I do not want to Airplay. Quality isn’t good enough, nor is tying up a control device to stream.