I went through the same thing bro.
Does the car act different when the gauge reads hot(if it reads anything).
My gauge kept showing my car was running hot,car acted like normal so i knew that wasnt the case.Got a cel the next day and it turns out the ECT(Engine Coolant Temperature)sensor went bad and is going apeshit.
I doubt anything is wrong with your coolant.My fan rarely ever comes on(That i notice).
Good luck with everything.
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