@j It's made of normal matter, compressed to an infinitely small size. That doesn't make it "exotic matter". lol.

Exotic matter refers to things like tachyons and other hypothetical particles that we have no proof to their existence, not even mathematical hints of them existing, that people speculate on because maybe they could make wormholes or time travel work.

Black holes are literally made from collapsing stars. There's nothing special about the matter they're made from. It's the same elements, the same protons, neutrons and electrons you find in a star. Why are we debating this like it's some big unknown?

@j You mean the black hole information paradox? As far as I know, there's no widely accepted solution.

@j The black hole information paradox is the issue stemmed from the axiom that information cannot be destroyed, but once matter hits a black hole's singularity, the information it carried cannot be retried, and thus it is considered destroyed. IIRC it conflicts with one of the laws of thermodynamics.

@Suiseiseki @j
It's not just a matter of entropy. The entire issue is that so far all the laws of physics are time agnostic. So we expect that if we know the position, direction, and speed of a particle, we can use this to essentially reverse it's arrow of time and figure out where it's been. And in theory, if we have this information about each and every particle in the universe, we can reverse time and calculate back every single past event in the history of the universe.

But black holes presumably break that, and it's precisely because of Hawking radiation that it goes completely to shit.
I don't know if you're familiar to exactly what Hawking radiation is exactly, but it has to do with something called virtual particles. Virtual particles are matter-antimatter pairs of particles that appear out of nowhere, from the vacuum energy of space, and immediately annihilate each other. We know that they exist because of the Casimir effect, but we call them virtual particles because they annihilate each other so fast, you'll basically never detect them directly.
But when they pop into existence at the event horizon of a black hole, you'll have the situation where the matter particle escapes (this is the Hawking radiation) and antimatter particle falls into the black hole, where it will annihilate with a different matter particle inside the black hole. Which causes the problem, because at this point it presumably destroys the information of that particle, so there is no more way to extract its direction and speed, and compute its past. And the Hawking radiation that escapes has no way, that we're aware so far, to carry with it information about the particle that got annihilated inside the black hole.

This is all my basic understanding of the subject matter, as someone without a specialty in the field. If you're interested, I highly recommend you search at least for a mini-documentary or video on the matter from people who know better. There are details I don't fully grasp either, or know, such as why is it expected that the anti-matter virtual particles are more likely to fall into the black hole, than its matter pair. But this seems to be the status quo accepted by scientists since they expect this process to completely evaporate black holes over incredibly long periods of time.