Game designing is a collection of several skills that you've to put together. Skills in animation, VFX, audio video editing, image processing, 3D modelling, UI/UX design along with sufficient programming (C,C++ etc) knowledge are mostly needed. Undertaking a single course doesn't help you. So take courses on the said fields.  Nit arts and design Pune, Lovely Professional University, Phagwara has these ug schemes.