The Leopards led 63-50 with 6:48 left in the game after a 14-3 run capped by Zalys. Larry Toomey answered with a 3-pointer for Army (10-5, 1-2). Kyle Wilson followed quickly with back-to-back 3s and Dylan Cox's basket pulled the Black Knights within 65-61 at 4:28.
With 57 seconds remaining, Wilson's field goal cut the deficit to 70-68, but Klinewski pushed the Leopards' lead back to four.
Tanner Plomb converted a 3-point play to make it 72-71 with 24 seconds.
Wilson had 21 points, Plomb 20 and Cox 12 for Army.