Does undergraduate prestige matter

I just wanted to update this thread because everyone here was so helpful. Thanks y’all for recommending the state school: it could not have worked out any better. I will be graduating this spring (a year early and w/ no debt) and so I recently applied to post-graduate programs (Fulbright and other such programs; worst comes to worst I will be working at a think tank I interned last year). I ended up getting a near 4.0 GPA (two A-'s) and recently took the LSAT, getting a 178, so going to a top law school is still not out of the question, by any means. Everyone’s advice was incredibly helpful and I’m excited to move on to the next steps of life.