2002 Sable - Interior light stays on all the time when car is running. When the car is shut off the mirror safety light should only stay one for a short time but stay on for 15 minutes.

There must be an electronic timer somewhere. On more modern cars it is a function of the BCM or a standalone module

https://www.google.com/search?q=1997+mercury+sable+the+automatic+interior+light+timer

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Then you did not fix the problem. Codes are not cut and dry, it can be the part the wiring to it or in rare cases a defective Powertrain control module (PCM)

i would hazard a guess and say that wires in the rubber boot from the door pilar to the door are damaged or the connection block in the door pillar in this the terminals are corroded or something similar

JUST PUSH THE BUTTON ON THE BOTTOM OF MIRROR ON THE SIDE THAT ON, MAKES SURE ALSO THE THE DOOR SENSOR IS FUNCTIONAL ON THE SAME SIDE SINCE IT ALSO ACTS AS ENTRY LIGHT.
DOOR NEEDS TO BE CLOSED FOR THE LIGHT TO TURN OFF, IT MAY TAKE A MINUE TO DO SO.

I am pretty sure it is the body control module. My 02 sable is currently having a similar issue. On a random day my girlfriend took the car to the store, the car started honking when she went to re-enter the vehicle. never done that before. Later that night the left front turn signal will not shut off. the turn signal light on the dash stays on solid, this morning the bright light indicator was on solid and the turn signals worked perfectly fine until the blinker light eventually went back to on all the time. I disconnect the battery at night or if I am not going to drive it for a few hours. But I am 99% certain it is the BCM causing this.

spray the latches with wd40,and work them a few times,the lights should go off

Try disconnecting the negative battery cable for a minute or two. Then re-connect cable and start the car. Good luck.

Spray some WD40 into the latches on the side of the doors then open and close the doors several times firmly.This will unstick the door adjar switch most of the time.Start with drivers door first.

Lube your door latches. One of the door ajar switches are sticking . Use wd40 or some othe spray lube . Spray into the latch and open and close doors several time.

I maybe wrong, but there should be a proceedure in the owners manual to adjust the interior light timing. If this proceedure is unsuccessful check your dealer for more info.