Ultimately, tokenized game assets are just a way for a publisher to capitalize on NFT hype. The purpose of an NFT on a decentralized blockchain is completely undermined if there is still a central authority (the game publisher) that can arbitrarily honor, reject, or limit the use or transfer of the token, and you can damn well bet that any terms in the game's license agreement, and the NFT itself, are worded to provide unlimited liberty for the publisher and as little as possible for the NFT holder.
So, "how" is the wrong question. It's a technical one that can be answered by putting "what is an NFT" into a search engine and applying some deductive reasoning. "Why?" is the more relevant question, and the answer is, thus far, to scam customers out of stuff that was either free, or beyond the purview of the publisher, before.
I disagree with this, generally speaking.
Blockchains, as immutable, distributed ledgers of transactions, do something that has never been done before. Applications for that technology like cryptocurrencies, decentralized finance, and even NFTs, also do things that are impractical to do otherwise (it's thus far impossible to counterfeit, and simultaneously difficult to hide the provenance or prevent/revoke the transfer of BTC, for example. Another is a smart contract that will automatically be fullfilled upon certain conditions being met, without requiring any third party mediation or intermediary), but are generally still in an immature state where speculative investments are the predominant activity.
Sure you can technically make an NFT of anything and try to sell it, but even if the vast and overwhelming majority of NFTs and cryptocurrencies out there are either utterly senseless wastes of blockspace or scams, that doesn't imply that such uses are the only uses.
This pretty much sums up my opinion on intellectual property in general.
For NFTs this is exacerbated even further as there hasn't been sufficient legal challenge or precedent to determine precisely under which circumstances terms set down in the contract that create an NFT are going to be enforced or upon what content it can be enforced. The recent judgement on the inability to copyright AI created art essentially invalidated a huge swath of NFTs in the US, for example...because people were taking AI generated permutations of one original piece and selling each as a discrete NFT. You can still buy that NFT, but such ownership is moot if no one is going to honor it, because the market value of intellectual property is wholly dependent on being able to excluded others from it's use.
Most early NFTs will be as forgotten as the blockchain allows them to be and there will be a lot of tears in the process, but the hype will eventually die down, people will start using the content of correctly formatted NFTs in legal disputes where they will be the deciding factor, and they will find a legitimate utilitarian niche. I have no idea how long this will take, or what blockchains will dominate the market in the long term, but I'm fairly confident they're here to stay.