I wonder if the 'get new dice' option could use a rethink? Being forced to take one means that if you get a bad range of choices, your run can become a lot harder, as your efficacy on any given turn is diluted.
It might be more fair if the player was given a choice to take nothing (the waste of a fight reward being punishment enough), or more interesting if the player had the option of exchanging a dice instead of adding one.