Sending troops would be an act of war, and definitely not cheap.

Stealing some encryption keys, just another Wednesday.

You mean like blowing up an oil pipeline? Accidents happen all the time. It is quite a lot cheaper to have an 'accident' happen to a data center than to break AES-256.

There are less public options to get the data without breaking encryption especially when the target uses MS software

Now I’m down the rabbit hole of https://en.wikipedia.org/wiki/NSAKEY

There might be unknown unknowns....