Bamisile took an inbounds pass near midcourt and drove the lane for a go-ahead layup with 3.4 seconds left.
James Bishop added 23 points and Brayon Freeman had 13 points for George Washington (5-10, 1-2 Atlantic 10 Conference).
D'Shawn Schwartz had 27 points for the Patriots (7-7, 0-1). Devon Cooper added 13 points, Xavier Johnson had 12 points and six assists, and Davonte Gaines had 10 points and 11 rebounds.
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