do I use saved money to minimize debt or set aside for a house

I’m entering a 2yr masters program where it’s 40k/year. I’d I start before July 1st so I’m able to take out grad plus just in time. The interest rate is ~9%. After I receive my degree, my salary will be $100k/year out the door. I live in Michigan with my family, and will live with them during school. Post-grad, I will live with my parents for max 2 years, after I’ll live with my bf.

I have ~30k in savings. I am contemplating on using it all to put towards school. I don’t want to be buried in accrued interest forever, and idk what the payments will be like in 2028. However, I’m also am not sure if this money is better to be put towards a down payment on a house for the future. Since the housing market is also garbage.