What to do with 50k to my name?

26M and I currently have 50k in savings to my name. I currently work a remote full-time job in call center tech support and make roughly 49K per year before taxes. Math bachelor's degree holder with no debts and graduated debt free. Currently living with my parents and turning 27 soon. My spending habits after tracking for two years are around 1500-2000 a month depending on if I decide to travel or not / have to help with family expenses. I am a very frugal individual otherwise.

I would like to possibly buy a used car that is reliable in the 10K-12K range because I currently do not own a car but am afraid of buying someone else's problem. My mom is encouraging me to buy a brand new car while I still live at home but I don't agree with her.

My other goals are to move out before I turn 30 and I am also considering going to master's or a second bachelor's in engineering or computer science to change careers. For school I am not sure if I should go part-time and work full-time or quit my job to finish the degree full time. I am scared of not being able to land a decent paying job again if I were to quit. But at the same time I would like to finish my education ASAP. I really dislike my job and I'm trying to find a better opportunity in this brutal job market. My role is pretty limited and I will hit a dead end in terms of career growth and pay if I continue to stay in this role. I have been struggling with analysis paralysis and feel behind in earnings as a STEM degree holder for my age. Any advice on what the best course of action is for me would be greatly appreciated.