do human brains have a recursion depth limit?

Aren't we all?

The quotes make it feel like it’s being sarcastic about the suggestion.

Me: please brain I just wanna get stuff done today.
Brain: no, now go find that one part of Old World Blues where you talk to your brain.

What is the human body but an over-engineered vat for our brains?

But... this is not a brain in a jar (nor a pipe).

At what point does the food in your body become you?

My brain floatin' in my skull thinkin' about vat brains.

Plato's brain in a jar