The use of traditional Rubik's cube colours as well as traditional dice-face symbols on the squares in the image suggest we are interested in cubes. The title Counting up the squares reveals there are 24 of each of the six colours, as well as 24 tiles with screws in them. This along with the shapes of the tiles' edges suggests we want to fold them up into 24 cubes, with the likely restriction that each cube has a different colour on each face. A further restriction is brought about by the fact that 24 tiles are screwed to the surface... these pieces won't fold up, so each screwed-in tile must be the base of one of the 24 unfolded cubes. Using these two restrictions then gives a unique partitioning of the grid into 24 cube nets, given below: Now we can fold these dice up, which will give a set of 24 dice whose top-facing colours can be determined from the nets, remembering the screwed-in faces are the dice's bases. This will have used all information except for the number represented by screws on the base of each die. Indeed just as we can extrapolate the top colour from each net, we can extrapolate the top number from each base number, since opposite sides of a die traditionally add to seven. Furthermore when rolling dice, the number we count is the top one, hence our interest in viewing the top of each die. Putting the correct number on the top of each folded up die then gives us:
From here there are only a few ways to extract letters for our final answer, and it turns out the extraction method we want is to take the |

The answer is: boxer |
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