Not OP, but I'm in a similar situation: I have a two-way switched pair of lights on my stairwell, one light at the base, one at the top. The one at the top does not work. We've tried replacing the bulb, we've tried fiddling with the cable for it (it's a suspended lamp). It hasn't worked since we moved in. We've told the landlord twice, he said he'd call his guy, his guy hasn't shown up.

I would like to have a light in my stairs. It's hard to see at night in the winter. My solutions is going to be to spin up home assistant, a zigbee base, and some fairy lights on a 'smart' switch.

I could learn the skills to troubleshoot why the electrical connection is (apparently) bad to the lamp, but given that said connection is in the walls, my DIY skills are trash, and I'm scared of electricity, I'm gonna do the project that's more fun and lines up with some stuff I wanted to do anyway.

I have no idea why the lamp doesn't work, especially because the fixture at the base of the stairs does, but the landlord insists it worked before we moved in.