If it's anything like the 135 T1 CPDS in Kuwait, then even with the aircon running you wouldn't be able to operate any significant electrical role equipment.
We did ask if air-con air could be piped across the Pelican rack to supplement the non-existent cooling air from the avionics side blowers - back came a very firm "nein/non" from the company.
So yes, if the above experience is anything to go by then expect the AP to trip about 10 mins into every sortie above 40 deg C.