Your best bet will be applying for a graduate scheme with EA and be ready to provided a portfolio of work to demonstrate your expertise. Don't be disheartened if you are not successful, gaming is a highly competitive industry and in the beginning it can take multiple applications to get the job you want, and a whole bunch of luck.
You want to be taking as much time as you can now to stack the deck in your favor; try and find any game developer jobs you can to gain experience in a professional environment and make yourself a more desirable candidate. If you can pick up some freelance work now, say for a small mobile app company, great! Take it and get it on your CV. Show you have the initiative and passion to be successful, that EA would be better off for having you as an employee.
I wish you the best of luck Shubham!