Yes, it is dead. The charcoal around that blue device indicates that device is likely burned out. The slot in the board is there to provide air space between high voltage connections. If it was not there, the circuit board itself would not provide enough insulation to prevent an arc over.
Bend that device over and look at the bottom. You will probably see a crack in it. That is they way they fail. There may or may not be other failed components. The charcoal needs to be removed as it presents a lower resistance than a clean board.