Dain Dainja scored 23 points with 11 rebounds and No. 16 Memphis escaped with a 78-77 win over Tulane in the semifinals of the American Athletic Conference tournament on Saturday afternoon in Fort Worth, Texas.PJ Haggerty added 18 points and nine rebounds for Memphis (28-5), which is the top seed in the tournament. The Tigers advanced to Sunday’s conference title game, where they will face the winner of Saturday’s matchup between second-seeded North Texas and third-seeded UAB.Rowan Brumbaugh scored 22 points to lead fourth-seeded Tulane (19-14). Kam Williams scored 16 points and grabbed eight rebounds, and Asher Woods chipped in 15 points.Memphis won the rebound battle 47-34, including a 22-9 advantage in offensive boards.The teams traded leads in the final minute of a game that was a tight battle throughout.Haggerty knocked down a jump shot to put the Tigers on top 70-69 with 1:03 remaining.On the next possession, Brumbaugh drove to the rim for a layup to give Tulane a 71-70 edge with 47 seconds to go.Haggerty answered again with a pair of free throws that nudged Memphis to a 72-71 lead with 40 seconds left.Haggerty came through with a steal on the defensive end and drew a foul with 16 seconds to go. He made both free-throw attempts to increase Memphis’ lead to 74-71.