I've got a weird problem. My dome light works when I turn it "on" (meaning fuse and bulb are just fine). But when I open the door and the dome light switch is in the "door" position", it doesn't work. Door switches are good, 'cuz each individual door light ("courtesy lights") works when that door is open, and I see the door indicator working on the instrument panel.
Recently, I installed my own alarm, and after that was when the dome light stopped working right. The alarm can trigger the dome light just fine (lights up upon disarming). Just that the door switch alone does not work. What's wrong? (and how might I fix it?)