CINCINNATI — Injuries to both hands aren’t going to stop Francisco Alvarez from playing baseball this season. The Mets activated the catcher off the injured list Friday in Cincinnati, despite having a broken pinky on one hand and a sprained thumb ligament on the other.

“I feel really happy because I can’t keep playing,” Alvarez said Friday at Great American Ballpark. “I love to play baseball no matter where, so just being here and playing, that makes me very happy and proud.”

Alvarez sprained the ulnar collateral ligament in his right thumb a few weeks ago during MLB’s Little League Classic in Williamsport, Pennsylvania. Doctors gave him the green-light to play through the injury, allowing him to put off surgery until the offseason. But he was hit by a pitch in his first rehab game,

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