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Is this a 2wd?
I don't know much about recent F150s but one question that comes to mind: is there any chance your TPMS (being early gen) is an indirect type which doesn't actually measure pressure of the tire but instead measures rotation of the tires and goes off when one is rotating faster than the others (as is the case when a tire is lower pressure so is "smaller")?
Still doesn't really illuminate root cause, but is the only intersection I can think of between TPMS and a transmission that is acting wonky in some way.
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Grant
In the stable: 1938 Buick Special model 41, 1963 Solex 2200, 1973 Vespa Primavera 125, 1974 Vespa Rally 200, 1986 VW Vanagon Syncro Westfalia, 1989 VW Doka Tristar, 1995 Toyota Land Cruiser, 2011 Pursuit 315 OS, 2022 Tesla Y
Gone but not forgotten: 1973 VW Beetle, 1989 Porsche 944, 2008 R56 Mini Cooper S
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