I think you need to take it in... Mine doesn't come close to doing anything like that. My car doesn't get close to overheating even with the A/C on for long periods in blazing heat and my compressor doesn't come on as often as yours.
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My '98 Vegas Pony
'98 Rio Red Clearcoat Convertible GT
Full black leather, K&N Filter, Kenny Brown Extreme Matrix Kit with Super Subs, 9mm FRPP ignition wires (RED), 5-speed, 3.27, All the options...
Great lookin' Blonde in the passenger seat!
Next to come... Tri-Ax shifter, Chrome Strut Tower Brace