Huh? a human brain is a complex as fuck persistent feedback system. When a nervous impulse starts propagating through the body/brain whether or not that one specifically has time to be integrated into consciousness has no bearing on the existence of a mind that would be capable of doing so. It's not analogous at all.

LLMs were designed to predict the next token, they do actually do so, but clearly they can do more than that, for example they can solve high school level math problems they have never seen before

No see this is where we're disagreeing. They can output strings which map to solutions of the problem quite often. Because they have internalised patterns, they will output strings that don't map to solutions other times, and there is no logic to the successes and failures that indicate any sort of logical engagement with the maths problem. It's not like you can say "oh this model understands division but has trouble with exponentiation" because it is not doing maths. It is doing string manipulation which sometimes looks like maths.

human reasoning is a side effect of their ability to have lots of children.

This is reductive to the point of absurdity. you may as well say human reasoning is a side effect of quark bonding in rapidly cooling highly localised regions of space time. you won't actually gain any insight by paving over all the complexity.

LLMs do absolutely nothing like an animal mind does, humans aren't internalising massive corpuses of written text before they learn to write. Babies learn conversation turn taking long before anything resembling speech for example. There's no constant back and forth between like the phonological loop and speech centers as you listen to what you just said and make the next sound.

The operating principle is entirely alien and highly rigid and simplistic. It is fascinating that it can be used to produce stuff that often looks like what a conscious mind would do but that is not evidence that it's doing the same task. There is no reason to suspect there is anything capable of supporting understanding in an LLM, they lack anything like the parts we expect to be present for that.