I faced this problem a few years ago -- but my state did not allow me to take the exam until I had 150 hours *with* a business degree. So I couldn't start taking the test until after graduation.
But many states aren't that onerous. Go to
https://www.nasba.org, see what your state's requirements are, and then proceed during your MSA program if you at all are able to and have the time / energy.
It's well worth having the CPA out of the way (even partially) by the time you're working. And it's much easier to take when (a) you're already studying the same material, (b) you're not working busy hour weeks, (c) you even have professors who might be able to help, and (d) it makes you look that much better to potential employers who won't have to start you from scratch. Just start from FAR >> hardest test, so once you pass you have 18 mos for progressively more manageable parts....