it's meant to be quickpaced and not thinky like in ace attorney where you can take your sweet time, and it technically would be like that in roleplay

a DM or DM assistant that would handle the whole rebuttal showdown dynamic as if it was from the game would be so swamped so quickly
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some interactions within the game are amazing but they're prescripted so they can be more fun to engage with in real time, for roleplay this is significantly more challenging

however, I have thought of possible ways that this could be alleviated while not being stringent in the roleplay sense
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the idea of the whole truth blade selection and interaction is that the argument advances and eventually a flaw in their logic is pointed out by one of your available truth blades, basically a realtime one on one objection

the BIGGEST pains here would be two things
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