Green-Eyed Dragon's Testimony

You are one of the Green-eyed dragons living on an isolated island. One day, one of you was found to be murdered...

By your local laws and traditions, you cannot communicate with each other. So in order to identify the culprit, you invited an outsider as the coordinator - the same one who once went to a different island to tell the dragons at least one of them has green eyes.

Tabletop Simulator Steam workshop version here (also included in the PDF):

https://steamcommunity.com/sharedfiles/filedetails/?id=3019398332

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Note: This is an experimental game made for the WGJ 2023: Switching Perspectives. The interpretation of the theme is the players are mentally switching perspectives while they play. Only the 6-player version is available.

Hint: If you find it difficult to figure out how this game works - it is inspired by the Green-eyed dragons problem. Except in this case, you know what you know and what other players know, but you don't know exactly who knows what. Only the voting results are common knowledge.