Going first, second, or last?

Sue and Kelly are playing a game with 5 sticks of lengths 1, 2, 3, 4, and 5. In this game, Sue randomly picks 2 of the sticks and Kelly deliberately picks 1 stick. In addition, Kelly can choose when she makes her pick (picking first, picking between Sue's picks, or picking last). Kelly's goal is to form a non-degenerate triangle from the 3 sticks chosen.

Which sequence of picks will give Kelly the greatest chance of making a triangle?

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