The 3 terminals show it is a coil designed to be held on for long periods of time without burning up.
It takes more energy to pull it in than to hold it in, so after one set of terminals pull it, the other set holds it.
What is important is NOT what the coils do, but the switches attached to the relay.
You could probably clip the orange wire, eliminating the coil, and then adjust the necessary switches so that they are either closed or open as required by looking at them when the coil paddle has them shown as energized.
Hope that makes sense, but that's what I'd do to take it out of circuit.
It is probably energized by several weighted 'slam' switches you may find spaced around the top box.