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Hamilton, 29, was 0-1 with a 4.55 ERA in 27 relief appearances before dealing with his own lat injury. He pitched four hitless innings of relief across three rehab games with Somerset and Scranton/Wilkes-Barre.
To make room on the active roster, the Yankees designated right-handed relievers Phil Bickford (0-0, 8.64 ERA) and Nick Burdi (1-0, 1.86) for assignment.