set heart on
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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 your heart on something/doing something
to decide to achieve something She's set her heart on a big wedding.
set (one's) heart on
To be determined to do something.