sequenceDiagram
  participant OR as Orchestrator
  participant MM as Matchmaker
  participant P as PlayerPool
  participant R as RoomFactory

  OR->>MM: start phase (Gx) for ALL
  MM->>P: collect all available players (200)
  MM->>P: shuffle randomly
  loop pair players
    MM->>R: create room with pair (P1,P2) and roles
    R-->>MM: roomId
  end
  MM-->>OR: rooms created for all pairs
  OR->>R: broadcast startRound(1) to all rooms