Solution: 11/3
Answer: DOOR
Starting with the red arrow, draw lines to another edge such that it crosses through the right letters to make sense in English. This takes some trial and error. The final clue phrase reads ENTRANCE TO A BUILDING OR HOME 4.

Author’s Notes
In Dota2, there's a hero named Spirit Breaker who charges across the map in a straight line and stuns everything along its path. It was OP and dominated the meta at TI (~1 week prior to the date this puzzle was written) and it still haunted my dream that night.