A degree from a prominent university certainly can't hurt, and it can open up doors in some circles. But honestly, once you're in the workforce for several years, it likely won't ever come up. (This likely varies per industry.) I can't remember the last time someone inquired about which college I attended... What really starts to matter is how you work, the results you deliver, the network you build, and the experience you gain.
Research shows that, long-term, an expensive well-known college may not be worth it: https://www.fool.com/careers/2017/08/27/is-an-ivy-league-degree-worth-it-in-the-job-market.aspx
There are so many good schools (both ivy league and otherwise) -- don't get hung up on name. You really can't go wrong if you follow your passion and find a university program that offers the coursework you need and meshes with your personal learning style. Good luck!