"I hold the two Queens and draw three cards. I end up with a pair of Queens. Here is what I drew (in this order): King of Spades – Jack of Spades – Four of Hearts."

You would not have made the royal holding the 3 spades.

The machine deals you 5 cards and 5 more behind them.
If you pitch the red queen, whatever was already behind it, would have been your card.