I'd recommend the two episodes released right before the one about the black hole information paradox too. They set up for what is covered in the information paradox episode.

"Why Quantum Information is Never Destroyed" - https://www.youtube.com/watch?v=HF-9Dy6iB_4

"What Survives Inside A Black Hole?" - https://www.youtube.com/watch?v=GscfuQWZFAo

Maybe the episode before those two also. I vaguely recall that something from the information paradox episode used something from that (and if I'm misremembering, it was still a neat episode):

"Noether's Theorem and The Symmetries of Reality" - https://www.youtube.com/watch?v=04ERSb06dOg

I have a question about the episodes you cited. They cover how beyond the event horizon space becomes time and time becomes space. They go over how that means that inside you can't go backwards in space for the same reason that out here in the normal universe you can't go backwards in time. You are doomed to only go forward, which inside means toward the singularity.

(Much better than the ridiculous analogy often given that you can't get out of a black hole because the escape velocity equals or exceeds the speed of light. That's a ridiculous analogy because it only explains why you can't get out ballistically).

But all their explanations used a simplified black hole in a spacetime with just 1 space dimension and 1 time dimension. We've actually got 3 space dimension. Does that mean that in a real block hole past the event horizon, you end up in a spacetime with 3 time dimensions and 1 space dimension?

If so, does anything interesting happen due to having more than one time dimension?

I think that's the million dollar question. :)

This episode touches on that a bit (but not really), and we're getting into holographic universe theory - https://www.youtube.com/watch?v=klpDHn8viX8