Should I Switch from Mechanical Engineering to Game Development?

Hey everyone! I'm currently in my fifth semester of Mechanical Engineering, but I've recently discovered a passion for game programming, particularly for physics-based games. Now, I'm at a crossroads and could really use some advice on my next steps. I have a few options: I could stick with my Mechanical Engineering degree while learning programming and game development on the side, but I'm uncertain if that will be enough to get a job in the industry. Alternatively, I could switch to Computer Science, although that would mean losing 2.5 years of work. Another thought I've had is to drop out completely and focus solely on building a portfolio, but I know that's a pretty risky move. My main questions are: 1) Is a Computer Science degree really necessary for getting into game programming jobs? 2) Would my Mechanical Engineering background give me an advantage, especially with tasks like physics simulations? 3) Should I focus more on creating games and building a portfolio instead of changing majors? I know a bit of Python and C++ but haven't dabbled with game engines yet. My university does provide some CS electives; would those be beneficial? I'd really appreciate any insights from those who have faced similar choices or are currently working in the industry. Thanks!