[Hanuman]

There have been a couple of examples recently, where a single wire has broken off from a crimp connection, with another wire still in position. Two wires into one connection. Time and use having caused some fatigue in the joint.

So, is it switched live, by the ignition key, or because it's floating, there's some voltage there from another component. I'd use a multimeter to be sure.

If I were you, I'd also Identify the components with electrical connections within reach of that wire. Then I would find the point where that wire comes out of the harness, and look for any other wires exiting at the same point. Maybe a multi-pin connector that doesn't have connections to all of the available pins, or similar. There appears to be one close by in your second pic.

Then check if the spare wire is a similar length to those other wires, and find out if there is a missing wire. Don't go experimenting and prodding it in likely places.