Borrowing $93k does not mean OP is going to owe that amount. There is that thing called interest and it is capitalized. No idea if any of the loans are subsidized ( meaning no interest accrual wile student in school). The majority of the loans will require the parents to sign. Better they take the PLUS instead of co-signing and both student and parent contractually be liable.
Yes, you can find work in The Oakland area, around Berkeley. But not enough to make that much of a dent. Housing is not cheap in that area either.
You have a great affordable alternative with Pitt. Yes, you’ll have research opportunities there. It has full fledge graduate programs in just about every discipline. The sky is the limit on how high you can go up that academic ladder. And the Oakland area of Pittsburgh is filled with student digs, job opportunities and cheap living right near the university.
If you can strike a deal with your parents for some of the cost differential, and work/save while at Pitt, you’ll be in great financial shape whereas you’ll likely barely be scraping by after paying the costs at Berkeley
Bear in mind that the expenses do not end when you finish school. In addition to those loans you are going to have to repay, you need to move on with job search, security deposits, travel costs, new job expenses, maybe a car etc etc. Launching one’s career can be very expensive. If you are considering grad or professional school, additional education, being strapped with loans from your undergrad past is definitely a load you won’t want to have, or have as light as possible.