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You are not expected to report email phishes already known* to the IT Security Office (ITSO). Those known phishing emails are listed within Cornell's Phishbowl:
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If you don't see the suspect email in the Phishbowl, you are encouraged to send the example directly to the IT Security <security<security-services@cornellservices@cornell.edu>, per the Phishbowl page, above.
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