Siren Cutoff Switch - LED help

Hello all. Does Konnected just supply power when the siren is activated?

I am trying to wire this siren cutoff switch:

The switch has the following connections:
Red: LED+
Brown: NC (Normally Closed)
White: C (Common Feed?)
Black: LED-
Blue: NO (Normally Open)

The LED only lights up when the siren goes off. I want the LED ON when the button is depressed, and OFF when the button is pressed.

Is this even possible? Do I need to run a separate 12V connection to the switch independent of the siren?

I do have it working already that it only sounds the siren when the button is depressed, but I can’t figure the LED out.

Any help would be appreciated. Thanks in advance…Scott