I have a nearly new F-250, and want the cold pressure in the front and rear tires to be somewhat different from the recommended pressures, for reasons I won't go into here. When I got the pressures I wanted, the TPMS started to go off, as I knew it probably would. The manual has the steps you need to take to recalibrate the TPMS. These steps seem more complicated than necessary, but it you sit down and work through them patiently, you can get the TPMS recalibrated so that the pressure you want is in the middle of a range and the TPMS alarm won't go off unless the pressure goes over or under that range.
Even though you want to have the recommended pressures in your tires, it might be worth it to recalibrate the TPMS in case for whatever reason it's calibrated incorrectly now. At least it's free, and if it solves the problem, you're done with it.