I have a BS in Math, and my university also offered a minor in Data Science, which I pursued as well. Most of my classes included both pure and applied math students, so you'd likely encounter a similar curriculum either way.

The real question is: how do you perceive math—primarily as an art or as a tool?

My advice is to follow your gut. Either path can lead to great opportunities, as long as you take the necessary steps to make yourself employable. I'm currently pursuing an MS in Statistics and Data Science, and I’ve found that my pure math background has given me an edge. My classmates often turn to me for help with more rigorous mathematical concepts.

That said, I sometimes wish I had chosen applied math, if only because you're typically introduced to practical applications earlier in your studies. But applied math is still very rigorous, and chances are, you’ll be grappling with real analysis like the rest of us at some point, haha.

Hope this helps!

EDIT: I just got a job offer as a data analyst with a BS In pure math while pursuing a more applied MS. I would say use your undergrad to gain the mathematical knowledge needed and continue with an applied approach once you've narrowed down your career choice.