Da du es über den Microsoft Store kaufen musst, ist der Kauf an dein Microsoft Konto gebunden.

Auf neuen Geräten sollte es möglich sein, die Premium Version weiter zu nutzen.

https://www.animotica.com/pricing

Siehe auch direkt beim Hersteller:

If you have moved to a new device or wiped your account, you can still restore the purchases on the new device. To do that, you need to sign-in to the Microsoft Store application using your Microsoft Account ID. Make sure that you use the same Microsoft Account ID you purchased the paid version with. After that, reboot your PC and the Animotica application.

If you still don't have a paid version, click on the 'Unlock' button of the version you acquired before (Animotica Light or Animotica Full Pro) and sign-in with your Microsoft Account ID. The Animotica will not charge money twice if you purchased the paid version before.