MEDINAH, Illinois — Adam Scott was a fresh face at age 23 and getting feisty under the darkening sky in South Africa.  The Presidents Cup was tied. Ernie Els and Tiger Woods were in a tense playoff when the captains agreed to a tie, meaning the Americans would keep the cup as defending champions. “Keep playing,” Scott shouted. They ultimately agreed to share the cup. Asked for his recollections from his 2003 debut, the 46-year-old Australian smiled and said: “I think I strongly suggested that Ernie get to the 18th tee because we’re playing. I was confident they could tee off. I don’t know that they could have finished the hole.” Scott never could have imagined then that it would be the closest he ever came to playing on a winning International team in the Presidents Cup.  This week at Medinah marks his 12th consecutive appearance, tying the record held by Phil Mickelson. It’s another testament to a career built around a swing so pure it has kept Scott free of injury as he became only the second player to compete in at least 100 consecutive majors, and it has kept him relevant enough to be part of yet another Presidents Cup. It’s also one more chance, and Scott doesn’t take it for granted. “I feel like it’s a huge opportunity for me,” Scott said. “There was probably a period 10 years ago, in the middle of my career, where it was, ‘Oh, this (winning) is going to happen.’ But now there’s not many more, that’s for sure. I’ve been given another chance. It might be the last one.” The Internationals gathered for the team photo, and it was only fitting that Scott had a place next to the gold trophy, with lifelong friend and International captain Geoff Ogilvy on the other side. One is the captain who has been the model of quiet confidence. The other is the inspiration for a team that wants to win as badly as Scott does. “He’s part of the International furniture now,” Christiaan Bezuidenhout said. “All of us would love to win the cup, but it would be so much more special if we can do it while Adam is still in the team.” Scott, coming off a runner-up finish in the BMW PGA Championship last week in England, still can find plenty of happy memories from his two-plus decades being on losing teams.