AA might have been able to chose a different aircraft to operate out of Phoenix that day.
One that has a higher max. operating temperature.
Not withstanding aircraft systems or runway conditions, the engines anticipate hot day, gross weight, altitude takeoff limitations. If you push them too far towards the corner point the tired engines of any vintage may exceed turbine temp limitations on takeoff.
I would expect that an airline the size of AA would have to be able to anticipate this weeks in advance in order to adjust schedules so only fresh engines out of the shop flew into and out of PHX that day.