Non-Specific answer - no dryer model given
The thermostat is likely not at fault,
there is on the exhaust duct of most dryers a thermal protector, thermal cutout, thermal fuse (and a half dozen other names for the same thing)
If the air temperature becomes too hot due to blocked exhaust ducts, lint in the fan, lint screen not emptied or someone opened the door in the middle of the cycle then closed it again. the device fails to protect the much more expensive heater coil and thermostat.
Trace the exhaust duct from the fan housing for a device that looks like this
or this
with wires to the terminals.
Test with an ohmmeter or bulb and battery, conducts ok no conduct replace.
take the dud one to the local parts store,
there are very few thermal cutouts, common to many dryers, they will be in stock. and cost very little.
While the dryer is apart, is a good time to clear lint from exhaust hood, ducting, fan, fan housing, to prevent recurrence
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