I would be considerably more concerned about overloaded or under inflation of my tires than a slight encroachment on GVWR
Tire charts are a great tool and a solid reference
As the driver you determine your situation
For example , you are traveling across the Midwest on a 100 degree day traveling on 150 degree asphalt with a 30 mph crosswind
Anyone routinely traveling the Midwest has done this more than once
This is the time to be monitoring the tire temperatures closely or you might contribute another gator to the intestate
It isn't the time to be marginally inflated either
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