The Longhorns came out strong at the start when Javion Estrada hit from downtown to make it 5-0.
But Cooper came back.
McLane Sanderson assisted a Keenan Lewis lay-up to get the Pirates within one.
Then with time winding down in the first, Lewis found another hole in the Caprock defense and made a tough layup to put Cooper up by 1.
In the end, Caprock had the last laugh, winning 56-52.