Looking for teammates to solve product management case challenges

I'm an incoming part-time MBA student at NYU, and looking to go into product management. Worked in investment banking for a couple years, but now interested in tech. And given my limited (self-taught) coding experience, product management seems to be the best way to break in.

Thing is, I have 0 product & technical experience (never worked with engineers before) and internships haven't been accessible - many of them require product experience as well! Truly frustrating. I've been looking into upcoming case challenges at NYU, but I also recently discovered ProductChallenger. Can't post links yet, but google "ProductChallenger" and their website is the 3rd result

From what I understand, teams of MBA students and other PM job seekers solve case challenges, hosted by various companies. NYU's case comps attract Amazon, Microsoft and a few other large companies, but not smaller mid-size companies. I've talked to several NYU MBAs, and on-campus recruitment don't expose MBAs to enough PM opportunities, since a lot of companies don't even come on campus. I think ProductChallenger's cases will be particularly helpful in off-campus recruiting, where many MBAs land PM gigs.

I'm considering doing these challenges before recruiting season starts, but having trouble finding teammates. I want to get as much product & technical experience as possible. Would anyone else here be interested in solving company cases with me?