Very seldom is it the thermostat
usually the fan clutch is the suspect.
That is why an electric fan only is very funny.
To test is a matter of stopping the fan with a rolled up news paper when it is cold and not being able to when the engine is hot or normal temperature.
Replacing is a 32 mm, 1 1/4 inch for the cold beer drinkers, backward threaded thin wrench nut.
The clutches sell for around $60 and it takes 15 minutes to change.
Later,