First you need to collect all chess pieces, I have a video guide for that which I will leave at the very bottom of this guide if you need it.
Once you have all chess pieces, begin level 2 and head to the reception area at the very beginning. Click the PC Monitor screen that has the small chess pieces on and it will take you to a new area. In the new area you will see the chess board, simply take the red pawn next to the red king and place it on the table off the board, then move the blue rook (castle) and place it next to the king where the red pawn was first located. Done, the AI should calculate your moves and give you this achievement.
If you need more guidance you can follow my video guide for it below:
All chess pieces: