I assume you checked voltage on both poles to neutral?
No, sorry about that. The diagram is in bad shape. The switch would be providing the neutral for the light. It looked like L-1 was feeding the door switch and went through the light first. It looks like L-1 is going through the timer on L-3 to the motor and then to the door switch. I will opt out so another tech may help you, the diagram I have is not in good condition and hard to read.