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(+1)

I think each round reset your stats. The dice merely modify it for that round. Dice 1 is the number, Dice 2 is the modify type (One of three stat, each with a + or a -). So a 2 Glasses (with a minus) is -2 to INT score that round. So for your example, 4 didn't lose to glasses. It was "4" & "INT minus". The +/- symbol are quite small.The reset probably exists to balance it out, so a few minuses don't permanently ruin your run.

You then need to try to match the dialogue option to the stat it represents, if your stat is high enough it wins the round. Win enough rounds to reach $30 and you win by paying for her meal.

Oh wow, and here I was thinking I'm rolling a red cube against Lady Luck's white cube all this time. I saw the required stat type after the dialogue, but was the exact number needed specified somewhere? Or is it more of a intuition thing?

(+1)

You picked the dialogue based on your assumption on which stat it was linked to - and then it showed you which stat the dialogue actually was. I think if I got above a 6 for that stat it passed - but that was never shown explicitly.

(+2)

You nailed on how the dice and dialog options work! The options are spread between 3 and 7 on their particular stat, with some options being higher and others lower.