Red's one-tile advantage conjecture for Infinite Hex

Consider Infinite Hex played on its infinite board, with Red and Blue claiming tiles according to the usual rules. The initial position assigns exactly one tile to Red and no tiles to Blue.

Red's one-tile advantage conjecture. A game of Infinite Hex with exactly one tile of the board assigned to Red at the initial position, and none to Blue, is a win for Red.

The conjecture concerns whether a single initial tile gives Red a decisive advantage in Infinite Hex, despite the intuition that finite initial advantages might be diluted on an infinite board. The source presents it as an open problem and notes that pairing strategies do not appear sufficient; no resolution is given.