The availability of video game design degrees is growing, but a lot of game design instruction still lives within a computer science or software engineering department. Those degrees tend to take slightly longer because the rigor of the classwork is more demanding and often classes will need to be retaken for a pass.
There are specific video game design schools, like Full Sail, that offer degrees in less time. There, you can get a Bachelor's degree in 2-3 years. Similarly, there are universities like Worcester Polytechnic Institute, that will allow you to earn a combined Bachelor's and Master's degree in 5 years (where more typically it would take 6 or more).
And then there are other factors to consider. If you're interested in the coding side of the equation, coding bootcamps that teach you languages are valuable and valid pathways into software design. Participating in indie challenges like the GMTK Game Jam will give you the experience of creating to someone else's specific ideas, interacting with other developers, and submitting a finished project, all of which are important tools to have in hand when seeking a job in the field.
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