Halvorsen made 7 of 9 3-pointers, Cork had 14 rebounds and three blocks, and Faulkner posted six assists.
Tyler Harris had 19 points for Western Carolina (6-1), which won its fifth straight game.
Quentin Jones had 27 points for the Aggies (2-7), who have now lost five games in a row. Kameron Langley added 20 points, 16 assists and nine rebounds. Kwe Parker had 18 points.
Langley made 1 of 2 free throws to tie it at 88 in regulation.
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