If the dome light is not working but poking voltage there light up the courtesy lights the wiring from connector X10148 is working like it should and there is no voltage from GM3 to that line powering dome and courtesy lights.

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E39 530dA -02 M-Sport Messing metallic
E53 X5 3.0dA -06 Sport Stratus grey
E70 X5 40d -12 M-Sport Space grey