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The admin game detail now shows, per robot seat, the game's deterministic play-to-win decision (from the bag seed) and — while it is that robot's turn — its scheduled next-move ETA (sampled think-time delay, deferred past the sleep window), plus a caption with the ~40% global target. Wiring: robot.PlayToWin/NextMoveAt/PlayToWinTargetPercent exports, account.IsRobot, game RobotSchedule (seed + turn-start). Tests: NextMoveAt invariants (never early, never in the sleep window), PlayToWin export, and an admin render integration test asserting the intent + ETA + target appear.