Hello, here I am providing you the steps of becoming the game designer as under:

Steps to become the game designer:
Obtain a Bachelor's Degree
Determine a Career Path
Gain Experience
Develop a Game

Degree required to become game designer:
A bachelor's degree in a related field, however, is even better. Aspiring video game designers should consider taking graphic design classes, including animation, along with computer science classes, including computer programming.

Key Skills
Designers must be creative
Have the ability to tell a story and be able to work as part of a team;
Must have the Understanding of programming languages, software programs, 3D modeling programs
Need to have the ability to spend many work hours seated and looking at a computer monitor

Colleges offer the course in India:
Zee Institute of Creative Arts, Mumbai
Mumbai , Maharashtra

Picasso Animation College, New Delhi (South Extension)
New Delhi , Delhi NCR

Academy of Animation and Gaming, Gurgaon
Gurgaon , Delhi NCR

Anitoons The School of Animation
New Delhi , Delhi NCR

Jagran Institute of Management and Mass Communication
Noida , Delhi NCR

Aakriti Institute for Art, Animation & Gaming
Noida , Delhi NCR

Bharati Vidyapeeth Deemed University - Amplify DITM
Pune , Maharashtra

Arena Animation, Bangalore
Bangalore / Bengalooru , Karnataka