Which degree is better for working with AI: Computer Science or Mathematics?

I am planning to start college next year, but I still haven’t decided which degree to pursue. I intend to work with AI development, Machine Learning, Deep Learning, etc.

This is where my doubt comes in: which degree should I choose, Computer Science or Mathematics? I’m not sure which one is more worthwhile for AI, ML, and DL — especially for the mathematical aspect, since data structures, algorithms, and programming languages are hard skills that I believe can be fully learned independently through books, which are my favorite source of knowledge.

After completing my degree in one of these fields, I plan to go straight into a postgraduate program in Applied Artificial Intelligence at the same university, which delves deeper into the world of AI, ML, and DL. And, of course, I don’t plan to stop there: I intend to pursue a master’s or PhD, although I haven’t decided exactly which yet.

Given this, which path would be better?

Computer Science → Applied Artificial Intelligence → Master’s/PhD Mathematics → Applied Artificial Intelligence → Master’s/PhD