Fixing a non-operative corner light shouldn't be this difficult...

Last weekend I noticed the left turn signal was blinking far too rapidly, so I figured a lamp was out. Sure enough, the front-left lamp was not working in both blinker and running light modes. Figuring it was a bad lamp, I removed the headlamp assembly to get at the lamp, but doggone if the filaments in the lamp don't look ok (but I can't check it because my multimeter is on the blink.) I picked up a two-pack of replacement bulbs, but when pop it in, it still doesn't work.

The lamp socket has two wires and a female socket, and since the right side is working fine, and the connector on the lamp socket is accessible without pulling the headlight assembly, I plugged in the left side socket in place of the right side socket, and it worked! I popped the original lamp back in the socket, and it worked too. Great. I guessed that meant it's either not getting any voltage/current to the left socket in either blinker or running light modes, or there is a faulty ground...

So, I plug the right turn signal back in, but now it doesn't work either. Crap. I go to the fusebox to see if maybe something is blown, and durned if I can find a fuse for the turn signals at all. So, I crack open the Bentley and read that, "The LCM contains transistor power output stages for activating exterior lights. This eliminates the need for separate lighting fuses and relays." Great, but the Bentley only has instructions on replacing lamps, and says nothing about what to do when things don't work.

I'm guessing that unplugging and plugging the turn signal socket with the parking lights on activated some kind of safety mechanism in the LCM. So the question now is, what do I do now? The Bentley sure doesn't seem to have any information on this. Is there something that can be done to reset the LCM, or does it have to happen through a diagnostic unit of some kind?

Thanks for any help you all can offer.

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2001 X5 Sport 3.0/5-speed
1998 318ti/5-speed
1988 735i/5-speed
1984 528e/5-speed (soon to be M20B25-powered 525i!)