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There’s a note in the room that tells you which shapes are involved and how to calculate each throw
If you’re still struggling with scoring, here’s an image that labels the rings and multipliers: https://csn.ug/wp-content/uploads/2025/03/Darts-board_1920x1920.jpg
If you found the note but don’t know how to get the code, you’re supposed to add up the scores of the moons and circles and subtract that from the hearts score

Thanks so much for giving everybody advice down here evolescent :3 

Have you noticed if there multiple versions of the board? I don't see any circle marks at all and adding the darts stuck into the board as if they might be the circles doesn't work. 

I can't tell if I made a wrong choice earlier in my play through so the board is different than it should be, or if I'm not thinking flexibly enough



I’m not sure if the board can be randomized but that looks like the same one I got
You’re on the right track with your thinking, I’d suggest rechecking your math Here’s an example of how you’d get the scores:







Please help, the dart puzzle is killing me, my brain is frying looking at this thing and I'm getting frustrated because I evidently calculated something wrong and I don't know what!!

DARTS SOLUTION:









....after taking a long break, I just realized I was adding my final score with the heart score BEFORE multiplication every time, even though I wrote both down. Moral of the story, take a break I suppose. Thanks for your help!