By Scott Purdy

First, solve the logic puzzle of the playing field:

 3 0 55 3 4 0 75 2 45 7 11 43 1 15 1 0 0 4 35 0 0 3 2 2 9 0 0 8 0 3 3 3 11 0 43 4 4 55 5 55 15 1 15 7 3 4 6 74 1 14 05 05 2 2 4 43 05 9 85 15 1 15 25 2 5 55 2 3 55 74 4 15 0 3 1 0 8 4 05 8 2 5 4 5 5 4 1 4 2 3 5 3 11 55 43 9 1 5 11 75 2 45 5 2 106 74 6 15 55 3 2 55 8 13 35 15 1 15 11 3 1 45 1 3 45 74 13 7 5 2 0 7 2 05 25 85 17 5 05 25 4 0 45 05 2 03 5 12 56 7 35 13 4 2 25 2 2 2 5 0 0 4 710 05 7 25 65 5 1 65 11 106 0 55 5 55 03 13 15 05 05 25 5 05 2 5 3 710 7 2 11 05 2 0 36 2 1 3 6 9 5 1 04 75 2 75 75 3 4 75 02 02 35 0 3 6 2 10 65 9 36 4 26 45 18 7 2 3 1 4 5 4 4 5 5 2 04 05 5 3 13 6 1 05 45 4 45 45 14 6 9 5 4 02 12 56 35 2 1 5 6 15 1 15 6 2 5 5 02 0 5 4 4 05 97 0 13 0 3 3 6 1 5 55 5 46 05 45 1 3 45 15 3 25 55 3 2 55 5 5 4 1 4 2 1 2 0 35 2 1 35 75 6 75 0 3 4 126 55 6 35 0 3 18 3 65 4 4 15 26 0 45 0 5 6 26 2 11 35 3 35 35 3 35 97 5 4 3 33 05 05 5 2 46 10 55 0 0 0 5 5 3 5 1 6 5 5 5 5 4 05 33 5 3 5 126 26 3 6 17 3 05 3 4 55 2 25 4

Next, for each subfield, translate the five players into letters, per the labels in the sample puzzle. Taking each subfield in player order, this produces 20 five-letter words, which, conveniently, start with the letters A through T. Indexing into these words, in alphabetical order, by the endgame string at the bottom of the puzzle gives a message:

• ACIDS 5 = S
• BIGHT 4 = H
• CHEAP 4 = A
• DRANK 2 = R
• EPOCH 1 = E
• FJORD 5 = D
• GULCH 3 = L
• HERON 2 = E
• INERT 5 = T
• JILTS 4 = T
• KEMPT 2 = E
• LORDS 3 = R
• MAGUS 5 = S
• NICER 2 = I
• OAKEN 5 = N
• PURGE 4 = G
• QUOTE 3 = O
• RAILS 2 = A
• SLOTH 2 = L
• TOMBS 5 = S

Looking at the words in the subfields that produced them, only a few overlapping subfields have words that share letters. Placing those letters into the shared goal squares produces your answer, LETHARGIC.