Some mathematics is hogwash. Some isn't. The game of mathematics is to define some axioms and sees what falls out of that. If your axioms are chosen such that they match reality it's not hogwash. For example boolean algebra is made physical in, among others, digital circuits. That's why mathematics also isn't considered a physical science by most.

I didn't make any claim to anything non-physical.

> the game of mathematics is to define some axioms

Is an axiom physical? Can I touch a mathematical axiom? Can I kick it down the stairs?

> Boolean algebra is made physical

So what was it before it was "made physical"? This statement necessitates Boolean algebra having had some other, metaphysical form before physical instantiation.

> I didn't make any claim to anything non-physical

Yes you did. And you did again just now. "I" - appeal to the self. Non physical. "Didn't" - appeal to the past. Non physical. "Make any Claim" - appeal to truth or falsehood. Non physical.

Again, these are debates that have already been hashed out millennia ago. I don't want to appear rude or condescending, which is near impossible not to do over written debate, but I would highly suggest putting in the work to learn the history of fundamental philosophical concepts like Epistemology, Metaphysics, and Ethics before engaging in debate over them.