Click onto one vine while in the inventory screen, so it becomes your cursor. Click the little picture of two curved arrows pointing at a ball (the "merge" button), which is at the bottom left of the screen. Now click on the other short vine, and you should have a gooda rope. If you can't get the rope to fix the bridge, try leaving the rope in the inventory and approaching the gap with your cursor in the area where the bridge is broken, until you see where your cursor becomes a hand. Get the rope, and put it in that spot.
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