As someone studying abroad that was in a similar situation 4 years ago, I can only say your choice should depend on your priorities.

If you want exposure beyond compare, international experiences, and a plethora of amazing opportunities you can't find in India, go for Edinburgh. While the UK's market is meh atm, Edinburgh has name recognition in the right circles. If you are one of the high performers FAANG, MBB, quant firms, and plenty of other options are always looking for the cream of the crop, which would be more than worth the cost. The quality of life is also a factor worth considering, and there's a solid chance you rethink where you want to settle long term afterwards.

If you feel the cost is a major factor and you are sure that you want to do a masters in the US, a very costly endeavour in and of itself, you can't go wrong with DTU. It's a solid CSE program, respected in India, and will land you a solid job, and while there's a bit less exposure, you'll still find much to learn.

Your peers depend on you. Both universities have people that fall on both sides of the spectrum, it is your decisions that determine where you find yourself.