Summer Enrichment: school specific or good anywhere?

[orangenostalgia]

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I was recruited for an enrichment program at NYCOM (osteopathic). I really want to go to Downstate (allopathic),🙂 where I am on hold. Would it look good if I told Downstate that I am participating in this program at another institution? Or would they have the impression that I intend on going to NYCOM?