Caraval question

I read this last summer but I'll try to answer anyway.

It's kinda none of the above. It takes place in a made-up world, but the characters do not cross over into it from our world; they're native. There are no magical creatures (that I remember, maybe a cat talks or something). There is a mysterious character with magical powers who runs the fantastical island, but his powers aren't really defined and to be honest I don't remember if he even shows up in the story or merely gets referenced. I think the magic mostly has to do with enchantments and stuff (bewitched clothing that changes colors), and a few characters turn up who seem to have psychic powers or fortune-telling abilities or something like that.

So, it's been a few years since I've read this book but I absolutely adored it. Caraval, in my opinion, falls under the 'High Fantasy' subgenre. It doesn't go all out with the fantastical elements of this genre - like magical creatures, great wars, and the like. Think Lord of the Rings. But it is set in a magical world, where it has its own rules, cultures, and magic systems. It particularly fits this type later in the series.