Just my opinion - based on my own experience and still not being happy with my past work and current nonwork:

Whatever you ultimately want to do, being able to concentrate and finish things will serve you well. Math can be improved on; I did it. Math skills will serve you very well in undergrad physics, and you will struggle without them. Without strong algebra, fail physics. How does math apply to game design? Graphics. But you must know that. What part of game design are you interested in? Of course the IT side of it makes money - if you are really good at it. So many people want to get into game production that it starts to be a bit like any other arts - character design, animation, that kind of thing. Creative arts are about being able to do something; a degree doesn't matter except help you get technical skills sometimes.

Even in STEM, which I am in, nowadays, a degree doesn't guarantee anything. I would suggest you look at the precise path you hope to take and learn everything you can about it. Reddit is actually a good source for any technical fields - like IT and games. (Of course you have to get a membership and pick subreddits or you will just see garbage.) Sign up to Indeed.com and get job descriptions sent to you every day. Learn about whatever industry you are truly interested in, be it artistic or otherwise. Start getting work experience in it.

I think having 2 categories - done for love or done for money would be a good list to make out. Acting is for love, unless you have something people want to pay for already. Something you don't mind for good money and love on the side can be good. Can. But you have to know yourself and the world by researching precise fields and paths through them. Oh, and if you are studying in order to get a job, look at the school's placement information. Just for comparison, if you look at BCIT here in BC, which has lots of fields of study including probably game development, you can find info that shows why they are known as being a good way to get jobs:

BCIT : : British Columbia Institute of Technology

I don't work for BCIT and I chose not to go there because I didn't want to narrow down that much. Sometimes I regret it. Sometimes I don't. I chose love, more than money, in a STEM field. My young husband's career looks promising and we should be okay, but sometimes I feel bad I didn't choose money again like I did in the first career.

Edit: and just rereading your post - you want to do acting in NYC no matter what. So you need something low pressure that pays good enough to support that. And be happy living in a tiny room, I think. So figure out what a practical for you and adequately paying job is so you can go.

I have been very indecisive. Revising written goals at the end of every month or school term was helpful for me.