When three switches are connected to a single output, there are some arrangements that are not strictly OR logic and not strictly AND logic.
Did you find a circuit box that had one switch that could send current to the output, while the other two were in the “off” position? This switch is commonly known as a “bypass switch”. Some circuit boxes had three separate bypass switches, but some had only one.
Find the circuit box that had only one bypass switch. What kind of logic did the other two switches use?
Open the box and see if you can find the junctions that separate the bypass switch from the other two.