"Interestingly, lots of programming languages have the freedom to reorder big chunks over long distances without altering the meaning, while I've never used a natural language that had that feature"

wouldn't that be a cognitive burden that would hit our brains quicker than a computer, namely short term memory?

Far off re-ordering would be like trying to do mental math in your head that requires memorizing very many results.

Maybe, but this applies equally well to programming languages!

Clifford Truesdale (1919-2000), arguably the best American Thermodynamicist after Gibbs, insisted on writing his papers in Latin and opened his own journal just for that purpose.

He also wrote his papers with a quilt.

Ok, how do I learn Latin?

But what reasources are there to understand and read Latin? It seems every resource wants to teach me I need to inflect, which I already know.

I want audio books, children's games, in short comprehensible input.

The book “Lingua Latina per se illustrata” is well-reviewed. It’s a reader that starts with simple stories and gradually increases in difficulty.

You can use it regardless of your native language, as it’s written entirely in Latin, with no English at all (even the copyright page is in Latin). But it doesn’t presuppose any knowledge.