Just follow the instructions. How hard can it be? You will get a list of coordinates at the end.

  1. Marked: (1, 0). Current state: at (1, 0) @ 0°.
  2. Marked: (1, 0). Current state: at (1, 0) @ 90°.
  3. Marked: (10, 0). Current state: at (10, 0) @ 90°. Note that you move without turning.
  4. Marked: (10, 1). Current state: at (5.5, 5.5) @ 45°. Words like “left” depend on what direction you’re facing.
  5. Marked: (3, 3). Current state: at (3, 3) @ 45°.
  6. Marked: (3, 3). Current state: at (13, 3) @ 45°. Words like “east” do not depend on facing direction.
  7. Marked: (10, 0). Current state: at (10, 0) @ 180°.
  8. Marked: (7, 3). Current state: at (7, 3) @ 179°. Gotta keep track of which relative direction is which absolute direction.
  9. Marked: (0, 4). Current state: at (0, 4) @ 179°.
  10. Marked: (1, 4). Current state: at (1, 4) @ 179°. Also possible: marked: (4, 1), curent state: at (4, 1) @ 179°. Things get ambiguous here. The ambiguity will be resolved later.
  11. Marked: (2, 4). Current state: at (2, 4) @ 179°. Also possible: marked: (5, 1), curent state: at (5, 1) @ 179°.
  12. Marked: (10, 4). Current state: at (10, 4) @ -90°. Also possible: marked: (2, 4), curent state: at (2, 4) @ -90°. Only one turn by 3149° is needed, as it turns out.
  13. Marked: (-1, -1). Current state: at (-1, -1) @ direction ⟨-11, 5⟩. The ambiguity is resolved as the other possibility goes through (6, 0).
  14. Marked: (2, 0). Current state: at (2, 0) @ direction ⟨-11, 5⟩. The coordinates marked in steps 1-13 need to be absolute-valued and incremented by 1.
  15. Marked: (15, 6). Current state: at (16, 6) @ direction ⟨-11, 5⟩. Careful, as the coordinates you snap to and the coordinates you mark are not the same.
  16. Marked: (14, 20). Current state: at (14, 20) @ 180°. Nothing like a nice long walk to end the adventure. Also, the coordinates marked in steps 14-15 need to be incremented by 1.

At the end, the marked coordinates become

  • (2, 1)
  • (2, 1)
  • (11, 1)
  • (11, 2)
  • (4, 4)
  • (4, 4)
  • (11, 1)
  • (8, 4)
  • (1, 5)
  • (2, 5)
  • (3, 5)
  • (11, 5)
  • (2, 2)
  • (3, 1)
  • (16, 7)
  • (14, 20)

If we get Stuck on Extraction™, we should solve “The Jig is Up!” first, which would give us X IS WORD Y IS LETTER. We index into the sentence with the x-coordinate and index into the resulting word with the y-coordinate, giving us a letter. This gives FLY A COMPLEX PLANE.

Notes:

Two out of three teams solved this puzzle without solving another one first. Perhaps I should have done something less reasonable.