And the practical reason why I'd recommend learning these now: you'll never have time to play with them when you're not young anymore. The whole domain of knowledge they represent will forever remain a missed opportunity.
In my book Geometry for Programmers (https://www.manning.com/books/geometry-for-programmers), I also advocate investing in mathematical education and a computer algebra system. Any system. I propose SymPy but it's only because it's free and ridiculously simple to get started with.
The reason for this is also simple. Mathematical knowledge is non-perishable. ChatGPT can write boilerplate for you, and it any language too. But to solve a real-world problem with math, you need a computer algebra system to solve your equations, and your own head to compose these equations. That's something beyond the reach of LLMs.