I'm stuck in dilemma. I'm not sure which way to go

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I'm stuck in dilemma. I'm not sure which way to go with my future and was wondering if you guys could help me out.
Path 1: I go to a for-profit college to get a degree in game design. An interest I've had sense I was a child.
Pros are: I can get it done faster (20 month program). I enjoy games and would like to make a real one. Also sense I get it done faster I feel like I would be catching up to my friends who are all done with school.
Cons are: for-profit usually suck. The field is saturated. I also feel like there isnt much of a "fulfilling purpose with it"
My other option is a normal 4 year school for Biomedical Engineering.
Pros: a proper education from a respectable school. I would be able to help fellow veterans with medical issues (thinking about designing prosthetics). Which would make it feel more fulfilling.
Cons: I don't know if im smart enough. The 4 year school would mean I wouldn't graduate until i was 29/30 years old. I would feel years behind all my friends

Anyone go through something like this?