Should read: “Search the story deck and choose 1 story card. Resolve that story’s effect and then place it into your won pile only if you have won The Seventh Gate. Then, shuffle The Seventh Gate into the story deck.
Does that mean Ardois-Bonnot can trigger it now?
no because you didn't win the seventh gate.
this works the exact same way but makes it more clear, or was suppose to that wouldn't work with cards like Ardois, at least how i see it.