I know people from these institutes and based on the conversations I had with them, I will say the preference order should be somewhat like below.

CSE MSIT ~ IT MAIT > ICE Thapar

Since you are considering different branches, it is clear that you don’t have any inclination towards a specific branch or specialization. If it’s true I will suggest don’t go for ICE Thapar. It is a core branch that already has fewer job opportunities in the industry. To score a decent placement at a core company for this branch you will need to be at the top of your class. Else, you are likely to end up in mass recruiting companies or software companies.

So, it will be better to stay in Delhi, it will be cost-effective, you can save up for your postgraduate degree and pursue what is in demand currently.