Welcome to 2CarPros.
I think we have a power issue. When you put power to the brown wire, it is turning off the battery light, but I doubt it is charging the battery. What I need you to check first is the if there if there is power to the B+ wire on the alternator. That should have battery voltage all the time. If it doesn't, suspect a bad fusible link. Take a look at picture 1.
Picture 2 shows that the brown wire you are referring to. If you are going from the battery + that will turn off the battery light.
Let me know what you find.
Joe
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Wednesday, July 31st, 2019 AT 7:10 PM