set heart on
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set (one's) heart on (something)
To be resolutely or inflexibly determined to do or acquire something. When I was a little boy, I set my heart on becoming a fighter pilot. When Janie sets her heart on a new toy, she won't give us a moment's peace until we buy it for her.
set one's heart on someone or something
Fig. to be determined to get or do someone or something. I am sorry you didn't get to pick the one you wanted. I know you had set your heart on Fred. Jane set her heart on going to London.
set (one's) heart on
To be determined to do something.