is there a way to beat the slimes in the cavern i cant figure out how to fight and by the time i have i have already died
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The first time you visit you should have a spell that Anya can use. and you can run away for a bit to get some space and then fire as they approach.
There's no penalty for waiting as far as I remember, so you can always come back after you learn some new spells from future classes, then retake the artifacts class to properly finish its assignment.