To be honest this seems more like a game you wanted to make rather than an attempt to meet the theme. It's not a bad game, though I think it's going to be more complicated than I tend to prefer. That and the whole die roll against a die roll thing.

I understand that once the charges run out, they are gone.
I love time travel. This has some interesting mechanics but I wonder if they make the game too hard to keep track of what happens.

I wonder if it could be possible to implement some kind of Tenet stuff, some of the units moving forward and the others backward.