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Does your oil light come on when the key is in the "key on engine off" position?

Here's a long shot... If your oil light doesn't come on in the "KOEO" then it's possible it is burned out. If that's the case, AND you also have low oil pressure when the engine is idling, the car is beeping because of your oil pressure, but you don't know that because the oil light is burned out. My '97 chimes when the oil pressure drops.

Just a thought. Good luck.