coolant temp sensor on 2002 Lincoln LS

do anyone know the location of the coolant temp sensor its not by thermosat housing.it say heater core & head sensor.

Asked by for the 2002 Lincoln LS
I see a "cylinder head temperature sensor" shown in the passenger side cylinder head under third intake port from the front in the valley of the engine. White/ voilet, and brown/white are the colors of the wires on the switch.
thanx autotechpat 1 more thing does it show how to purge the coolant system?
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