ST. LOUIS—Padraig Harrington cleaned out his locker at the TPC Boston, signed a stack of flags from the British Open and PGA Championship, then headed to St. Louis to play on a course that brought mixed emotions.

It had nothing to do with his golf.

Harrington was among the first to arrive at Bellerive Country Club, where he has to finish fifth at the BMW Championship to avoid becoming the first double major winner to be ineligible for the Tour Championship.

Amid whatever pressure he might face, perspective comes easily.

“A journalist asked me a f...

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