ok i revisited the game and i finally won (in easy mode) after thinking about it for a bit! 
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Since I noticed easy mode ends really fast, I added medium and hard modes.
Most of the time I beat easy mode in under two minutes you can see the strategy I use in the video below:
But medium and hard have a trick: you need to throw all your forces into one city. After a certain point, the city can’t damage your troops anymore (if they don’t turn red, it means they’re not taking damage). That way you rack up a ton of money that’s the solution to beating medium and hard.
But impossible mode depends on luck. I couldn’t beat it myself, but I feel like it’s doable