key works for mac but not pc

I purchased a student version of toon boom studio which claimed to be v1.2.1 for mac and v2 for windows. I was using a mac to run it before and the key worked in “registration,” but recently bought a dell laptop, wishing to still be able to run the program. However, the key doesn’t work on it and, although I am fully aware that the main goal of a company is not to be as convienient as possible, I feel that it would be silly for the key to be designed for one or the other (mac or pc), where the customer is expected to buy a second version simply to acquire a second key that fits the operating system.

I hope that this is not the case and there is only a small error in the program. Does anyone have any ideas?