This could be the gauge that is off, I would use an infrared temperature gun on the upper radiator hose to check the temperature. When fully hot it should be 210-220 degrees.
https://www.2carpros.com/articles/how-to-use-an-infrared-temperature-meter
Does the cooling system boil over? Also, do you have a check engine light on?
This guide may help as well:
https://www.2carpros.com/articles/engine-overheating-or-running-hot
I have also seen the low-speed fan relay go out and cause this as well so I would swap it out, here is the location and the cooling fan wiring diagrams to help. Check out the images (below). Please let us know what happens.
Images (Click to make bigger)
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Thursday, October 26th, 2023 AT 5:20 PM