Hello Saptak Bardhan.

First things first.

You really need to pin down your thoughts at a place and decide what is your ultimate goal that you have to achieve. If you want to do a job after engineering , which branch would be suitable for you.

Whether you would appreciate working in a office after getting a job in CSE sector or you want to have an on field job in mechanical sector.

Now, if your future plans are slightly different , like, you want to go for CIvil Services or something like that and you are doing engineering just for degree then it comes down to personal opinion such as which college will have a better college experience and fee offordability.

I hope you will be able to make correct chices for yourself.

Good Luck.