+1
You would think this system would be in BG3, as Larian already implemented this type of thing for DOSI. Players played rock-paper-scissors to determine whose decision was selected. For BG3, it'd be appropriate to make it a contested d20 roll between all players (maybe adding their Cha and/or Wis bonuses, to represent some combination of persuasive ability, force of will, stubbornness, and innate wisdom of their decision).
