Hello and thank you for using just answer!
Is the ABS or check engine light on also?
Traction control is NOT your issue here.
On this car when a check engine light and code stores then it disables and turns off the traction control system as well, so in other words fix the check engine light to resolve the other indicators. Yes this is most likely a sticking thermostat if the 0125 is the only code stored.
That is because you have a basic scan tool.
Jujst clearing the code still stores a pending code, FIX the p0125 issue and then disconnect the battery for a while to clear the computer.
have a good day, I will be back online this evening.