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Amazing submission. More variety could make this game a really interesting  release. I would've liked it more if you could keep the dice you didn't use in your selection though, kind of like a card game. Meaning, you would be able to plan ahead on which dice you should keep in your hand. Also, making the turn end automatically would be a nice QoL change. 

Some random ideas for more dice: AOE attacks, projectile attacks, diagonal move.