Math Invented vs Discovered

Math isn't directly about the concrete universe; it's an abstraction.

Math is not reality. It's an abstract concept that we've built up on top of axioms.

Strictly speaking, math it self isn't intended to reflect reality. It's just logical system together with some initial axioms. But it does happen to model reality very well, given the right interpretations.

Math and Physics are two very different realms. There's no a apriori reason for anything in the real world to obey a law or regularity. The fact that it does is amazing. The fact that we are able to think it's amazing is mind blowing. :)

Possibly because math is a human invention and not actually "the language of the universe" or whatever

Because mathematics doesn’t have to be about the world?

Math is a description of our reality. If we discovered something that math couldn't explain we'd expand math to explain it.

You are misunderstanding my point. Mathematics is not related to the natural world at all. 1 plus 1 will equal 2 regardless of whether there is a universe to experience it. It turns out certain types of math are useful to us, it doesn't mean that all types are. For example, infinite numbers exist, but the natural world cannot have an infinite or infinitessimal amount of things, there are upper and lower limits. Does that mean infinities don't exist? Of course not.

Perhaps one only needs to realise that reality is not mathematics?

There is value in comparing mathematics to reality even though mathematics is defined entirely independent to reality. We are able to use mathematics to model certain aspects of reality with great effectiveness.... why? Physical reality does not seem to resemble mathematical notions at all, yet shows some of the same results. Understanding that gap would be of monumental significance.