On a survey regarding a race conducted among the groups, The "X" group spoke the truth, The "Y" group lied and The "Z" group told the truth and lied, alternatively in no order. Carta, Michael, and Tim belong to the different groups among X, Y, and Z, not necessarily in the same order. One of them won the race. Following are the statements of Carta, Michael, and Tim regarding the race. Carla: Tim won the race. Tim always speaks the truth. Tim obstructed me at the last moment. Tim: I hadn't obstructed Carla at the last moment. Michael won the race Michael Carla won the race Tim is not a member of the "Y" group. Who won the race?
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