Lynn began his day three strokes behind Green.
"You've got to make key putts and they certainly went in for me today," said Lynn. "It could have gone the other way. There was a couple out there that Greenie could have made, which changes the whole thing. I just made those crucial putts at the right time and kind of hung on in the end."
the first time in four rounds to move to minus-11.
Andrew Raitt and Miles Tunnicliff shared fourth place at nine-under-par 271.
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