Trying to Fit a Part-Time Work During a Masters: Any Ideas?

Hi guys! I have an internship in the buy-side in Summer 2021, but currently need more experience in order to ensure I convert my internship. Unfortunately, my Masters has a regular daily schedule of lessons that ends at 4.30pm, and also requires around 4 hours of studying a day + A full day on the weekend. Doing the math, that means I will have only around 3.5Hours (5pm - 8.30pm) available if I wanted to do a part-time role at a buy-side firm during office hours. Do you think this is something firms will be even willing to consider, or would you have any other ideas based on personal experiences on how to fit a part-time role in your schooling week? The alternative is a winternship, but I hope to have more work experience just beyond a few weeks. Appreciate the advice!