Then the grey wire has to go to the other contact in the connector, but I don't see that contact in there
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You puted + contact on the place the L wire needs to go.
The L wire is normaly red/black or red.
The way you connected this ,the bulb on the dash will not work and the car will not stop after the key is switched to off position..
If you have only 1 contact in there, it is not the original alternator.
In that case this contact = +D and has to go to the bulb.