This game is really fantastic congrats! I love the art style and its got that addictive roguelike quality that makes me want to keep doing runs!
Please take this feedback however you want, the game is free, already out and fantastic as is -
I think having the damage tied with health is a really neat way of a simplistic diegetic display, however it does lead to negative feedback loops once you start losing to an enemy of high health. If you start losing lots of dice you are pretty much screwed as you roll less and less dice. This leads to a lot of player frustration as you know you are going to die in the battle and there is no way of catching up.
I think there are plenty solutions to fixing this (if you think its a problem) that you can come up with. One for example being dice go into a "Destroyed state" where they are destroyed after a battle but can still be used until the end of combat. Giving way to some intense combat and feeling like you can still kill the enemy even though you have 1 health.