Hello aspirant , hope you are doing good.

Firstly, kudos to your choice, it's a really unique field of education, and I'm glad you take interest in this. So, to be a game developer and make your career in gaming industry, you have to definitely do a B.Tech in Computer Science Engineering first, and learn the various programming languages thoroughly because that's the building blocks to make a full fledged game. Once you have done B.Tech, you can opt for M.Tech in CSE again or in game development/ programming in particular and you are all set to be a part of the game developing industry.

You can go through this link for all the animation colleges in India :

https://design.careers360.com/colleges/list-of-animation-colleges-in-india

Hope this helps you. Good Luck !