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                           general:: 
                            Phrase(s): play into someone’s hands 
Fig. [for a person one is scheming against] to assist one in one’s scheming without realizing it.  •  John is doing exactly what I hoped he would. He’s playing into my hands.  •  John played into my hands by taking the cash he found in my desk. I caught him and had him arrested.
                        
                        
 
                        
                            McGrawhill's American Idioms And Phrasal Verbs