I was in NYC quite a time ago. Now in NJ and can't be happier ;)

thanks

No, I've installed a regular one. There's one black cord coming from a 3rd switch that has a opening in the middle. Have no idea what it is for as end of it goes to one of connections of 3rd switch.

2 cords (black and red) should control the 2nd switch I assume.

As a wrote in comment below 2nd light works even with no switch hooked, so it's hardwired somewhere else I guess?

I actually (with 2nd switch taken off) put a bulb in a 2nd lamp and it lights up.

Seems like it's hardwired somewhere without even touching the switch. What a nonsense.

https://imgur.com/a/h2xndkY

It's quite a mess there.

It's switch for the lamp since there are 3 lamps in the kitchen. There is nothing else, no other switches, no other things to turn on.

I did look up. Yes, was measuring a voltage, didn't think it was one line, my mistake.

Thank you.

Now measured a continuity. Seems like everything is working as intended but light is always on anyway.