A good estimate to use when comparing tire pressure to air temperature is for every 10 degrees F, tire pressure will adjust by 1 psi. For example, if the outside air temperature increases 10 degrees, the tire pressure will increase by 1 psi. Conversely, if the air temperature falls 10 degrees, the tire pressure will decrease by 1 psi. (This is the general consensus on google.https://www.tirebuyer.com/education/...nd-temperature

500/10=50psi increase which gives us an 80 psi total(given a 30 psi starting point. and even if that particular logic is flawed....the heat will find its way to cool off far before it reaches the air inside the tire.
Such as throughout the rest of the rim (which happens to be an alloy in this case and can dissipate the heat rather quickly) plus the heat being absorbed by the hub and brake rotor. Heat very much like water and electricity heat prefers the path of least resistance and metal is a much better conductor of heat than the rubber and air of the tire. The ambient temp throughout the entire tire probably wouldn't increase by more than 40-50 degrees Fahrenheit on the very high side.

 

Closing as the OP fixed his issue, and before it turns into a crap fest...