From a fairway bunker, Woods hit 8-iron from 178 yards to the middle of the green for a two-putt birdie.
William McGirt was playing his shot from the fairway bunker on the other side and had no idea what Garcia was doing.
But her good work was undone when she drove into a fairway bunker on the last and she was forced to play backwards.
But he took three shots from inside a radius of about 5 yards after his approach shot from a left fairway bunker stopped behind the hole.
He followed that with a mid-iron from a fairway bunker on the 16th to four feet for yet another birdie and, at that stage, a four-shot lead over Masters champion Mickelson.
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Webster moved alongside Manassero with a seven-under 64 which included a spectacular eagle at the par-five 13th, which saw his second shot from a fairway bunker strike the flag, leaving him with a six-foot putt for his three.
And it was Germany's Kaymer who ended the third round with the best chance of victory after holing five birdies before dropping his only shot of the day at the ninth - his final hole - where he drove into the fairway bunker.
He didn't miss a fairway until the 17th hole, when he found a bunker to the right of the fairway.
From the tee I aim for the chimney on the house that sits behind the second bunker on the left of the fairway.
Woods hit a fairway metal off the pine needles and into a bunker, blasted out to 10 feet and rolled in the birdie putt to briefly take the lead.
Els had to save par from a bunker on the 17th, then pitched back to the fairway on the 18th after driving into the trees and hit a wedge from 51 yards that stopped inches away for a tap-in par.
The bunker is positioned in a way that obscures the view of the green from the fairway making it harder to make the shot you need.
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