There is already laws regarding impersonation and the right to your own image.

So not sure why AI would make it different from a costume or a drawing

There absolutely should, and perhaps law and ethics experts who dabble in AI are in the middle of discussing this.

This isn’t just a matter of law, but of technology. Part of the point of these large language models is the massive corpus of raw data. It’s not supposed to mimic a specific person or work, but rather imitate ALL of them. Ideally, you wouldn’t even be able to pinpoint anyone or anything in particular.

(If you’re asking about a different type of AI, then disregard)

AI has only been capable of… half imitating those things for like a year and a half. And most uses are non commercial, and there is not established case law for personal usage of generative artificial intelligence. It would be hard to sue someone for something they aren’t profiting from, or that they are not using as a form of slander or libel or harassment.

The EU, the UK, and the US are all currently developing new laws surrounding the usage of AI. But this is all incredibly new and therefore in progress.