See the course in general are so framed that it will give you all the basic skills as required to study the subject. So don't worry about that. All the coding languages and the necessary mathematics required will be provided in the curriculum and side by side you will learn the application of all those subjects in AI.
So in conclusion you have no need to study Computer Science separately. If you get a chance then you can get admitted in the course and it will not cause any problem.
I hope my answer helps. All the very best for your future endeavors!
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