Installing TPMS sensors on my brand new F-450 truck

One other question -- I found that my front tires are at 85 PSI, but after driving for a few minutes, they are at 90 PSI which is what the door sticker states. Is the door sticker rating on the door for cold or warm tires?

Regarding contacting the tire manufacturer on the difference in pressure from the side wall to the door sticker, didn't something like that 'allegedly' contribute to the Firestone tire failures of a few years back?

Thanks,

Mitch