Deck and Cover with 1 prize remaining but no bench

[FirestormXVI]

Scenario: I have 1 prize left and Accelgor in the active position. I have no bench. The opponent has a bench and their active Pokémon has 50 HP left. I use Deck and Cover to knock it out.

Do I lose due to no bench or do I win for taking all the prizes?

(I have a feeling I would lose but might as well check before this actually comes up in play!)

 

[PokePop]

You would each have met one win condition, so a game of Sudden Death would have to be played.