I would do the CS one. There is no reason why you cannot apply for a more arty job that you'd love more with a CS degree. For a media design/graphics job you need a portfolio and maybe a degree (any degree). For a CS job you need a degree, preferably a CS degree, and the ability to actually code.

I would always recommend doing the degree/coursework where you learn the more defined harder fundamental and broadly applying skillsets. Math and programming do fit that bill. If you follow them, take charge of your learning experience, you will come out knowing a lot about them. If you take a graphic design course, that won't magically turn you into a better graphics designer. You need talent and passion for that. And that cannot be taught in a course.

As for being a game designer, I would be cautious about that and learn a bit more about what that means. Most people that work on computer games grind away for low pay at small technical elements of the game. Deciding what gameplay a game has, no one really does that as a job anymore.