inveigle
/ĭn-vā′gəl, -vē′-/
transitive verb
To win over by coaxing, flattery, or artful talk.
He inveigled a friend into becoming his tennis partner.
To obtain by cajolery.
inveigled a free pass to the museum.
He's literally saying to her face "I've come to be tricked!" No wonder he's so amused.