I got a similar error, but changed ".co.uk" to ".com" and it worked. Although, the error message should be "use an Amazon.com" URL instead of "use a Google Play" one.
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Please try the game on the App Store (iOS). Currently the Google Play link is down and we've been trying to work with the Google Play team to bring it back up and are awaiting their response.
We will let you know when the Android app is back up. Sorry for the inconvenience!