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Synonyms for Stupefy (same or very similar meaning)

WordNet sense 1 (make dull or stupid or muddle with drunkenness or infatuation):
besot

WordNet sense 2 (be a mystery or bewildering to):
amaze, baffle, beat, bewilder, dumbfound, flummox, get, gravel, mystify, nonplus, perplex, pose, puzzle, stick, vex

WordNet sense 3 (make senseless or dizzy by or as if by a blow):
stun


From the ODE community, based on WordNetadd/edit