Could Taimanov have beaten Fischer?

In the 1971 Candidate Matches Bobby Fischer faced Mark Taimanov In Vancouver, Canada. The American defeated his opponent from the Soviet Union with a “dry” 6-0 score. But matters could have started differently. In the first game it was Taimanov who put on the pressure, and even had winning chances. He played 27.h3, which nobody considered a bad move – until Kasparov pointed out its defect in 2004. Today’s riddle deals with the position before White’s 27th move. Computers find it devilishly difficult to find the best continuation. Can you?