Your purchases will automatically register on all devices on which you are playing as long as you're connected to the same account across devices.

If you've made a purchase but it did not appear on another device, please check if you've logged into the same account across your devices. 

Beware... you can't transfer your game data from an Apple account to a Google account or vice versa. That also means you can't transfer your purchase between your Apple account and Google account. 

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