How did you get it off?

Now that you've got it off, the circuit looks fairly simple. Can you see the traces on the bottom or are they sandwiched in the middle?

Since you're so adventurous, you could try to ID the transistor. I would think that that is what likely got toasted by this over-current.

It may not JUST switch, but rather provide shades of dimming. I seem to recall that is more how it functions rather than ON/OFF.

That resistor must be a feature limiting the current thru the transistor.