96 Saturn -- How Do You Disable Runaway Chime?

It blasts my ears. I know where the damn thing is -- it's behind the
front cover on the driver's side console. But I understand that if it
is removed, some necessary functions will be lost. All I want rid of
is the constant noise, which is to warn that the headlights are on
when the key has been removed, when the headlights are NOT on.

I also understand that the glitch is due to wear and tear on the
ignition switch, but that's too damn expensive to replace.

There ought to be a way to disable the chime without disabling the
other functions of the unit.
Maybe just by clipping one of the wires or snipping something?

Haaaaaalp!