There is nothing wrong with it grammatically. "Take" is just a verb applied to the cake mix, and you can apply lots of verbs in one sentence.
I'm going to take the cake mix.
I'm going to take and stir the cake mix.
I'm going to take, stir and pour the cake mix.
I'm going to take, stir, pour and bake the cake mix.
However it does sound odd, and that's because there is a more commonly used sentence structure that's used with take. Take is such a common word, that it has these kinds of ultra-common uses. When we're accustomed to hearing a word used in a particular way, it sounds odd to hear it phrased a different way. It makes us think "Huh? Why didn't they phrase it the normal way?"
The common structure is:
I'm going to take the noun and verb it.
So:
I'm going to take the cake mix and stir it.
I'm going to take the cake mix and stir and pour it.
I'm going to take the cake mix and stir, pour and bake it.
Note that we have and twice in these sentences, because it fits that "take it and [verb] it" structure, but you could drop one and if you like:
I'm going to take the cake mix, stir, pour and bake it.
Also note that most of the time the take is a redundant part of the phrase in any case. You can't stir the cake mix without taking hold of it, so that part is implied even if you don't say it. There is really no need to use the word take here, except insofar as it becomes a familiar and natural sounding sentence.
I'm going to stir the cake mix.