IR gun is a good idea. Where would be the best place to lay the IR point? Top of the radiator? Bottom? Heads?
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Point it at the sender for the gauge to verify the gauge is reading in the ballpark. IR changes with the color of the item pointed at so it's a ballpark device. Also the t stat housing keeping in mind the temp on the outlet will be colder if the T stat is closed.
Lincoln is like a lock washer GMC difference over a Chevy. Kinda hard to see that lock washer in 1 picture.