A Reverse dots-and-boxes puzzle inspired by @jafe
Albert and Robinson are playing a game of reverse dots and boxes.
- The players take turns adding one plane in one free spot on the grid (marked with light gray contours in the below image). Albert goes first.
- If a move completes a $1\times1\times1$ cube, the player gets one point and has to make another move. If two cubes are completed with a single move, the player gets two points but only has to make one additional move. The player keeps making moves until they make a move which does not complete a $1\times1\times1$ cube.
- The game ends when all possible planes have been drawn.
- Since this is a reverse game, the player with the most points loses.
Sorry for my crude drawing. In (other) words, from the origin, a stretch of 2 cubes are added to each of the six faces of the centre cube.
Which of the players can win the game played in the above grid? What strategy should they use?
As usual, @Deusovi got it within minutes. Kudos to him!