You can create a smart contract where only a set group of people (ie, the devs) can mint NFTs. You cant just mint arbitrary nfts whenever you want, that's why they are unique.
You can create your own smart contract though.
I'm assuming the idea was games only let the person who owns the NFT (oldest entry of the hash on the chain, or transferred from it, plus however the limited number serial works for "limited edition" vs singular NFTs).