Unsure if you ever got the answer. But all purchases are tied to your account, and typically buying into a game is like buying the tier of which version. Meaning you should have access to pc, mobile, mac, w/e if you bought it as they are on the same technical tier. You bought the game, you have all versions for that tier. (I use a tier list example because some devs charge more for most recent updates and less for older updates, while updates even older are free. Thus a "tier list")