Completely lost, what to do to build up resume for pivot to S&T

Sophomore at a good flagship state school (think Michigan, Texas, etc.) double majoring in math / CS (not in the business school) with a 3.8 GPA. Coming into college, I thought I was going to be a SWE, but unfortunately the tech job market is completely fucked right now. After a no-name SWE internship last summer, I decided to put 100% of my recruiting effort into trading positions at prop shops, figuring that results would materialize faster than if I were to continue trying to recruit for tech, which to some degree proved true given how tech is currently even more fucked than it was last season. Unfortunately, I wasn't the only one with this idea, because even though I made it to some final rounds at top shops (think Susquehanna tier) and thought I aced them, I still got cut because the abundant competition was better. Later started to realize how few seats there are in prop trading, and compounded with greylisting / cooldown periods for recruiting (up to 12 months), I figured that S&T at a (BB) bank would be a less risky stepping stone I would be willing to take before pivoting to prop (or trading at an HF) a few years out of school. Now, I understand that recruiting for this starts in just a few months from now in the spring (some have started already for 2025), and I don't have any finance experience on my resume because I never considered S&T until recently (most of the prop shops I interviewed at had very light resume screens and would interview pretty much anyone at a target school and / or who passed their online assessment). What do you advise I do to build my resume before the spring? Should I try recruiting for PWM instead and then S&T for the summer of 2026 and take 4.5 years to graduate?