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The young slugger has committed to participating in the Home Run Derby in Philadelphia, aiming to improve on his runner-up finish from last season.
“Champion – that's the goal,” he said.
Rays manager Kevin Cash praised Caminero's historic stretch.
“It's kind of amazing when you've got 25 other players in the dugout that are pretty much in awe, along with an entire coaching staff,” Cash said.
“That means you're doing some incredible things.”
Fortes added an RBI double in the eighth inning to drive in Taylor Walls, providing an insurance run.
The Rays' bullpen retired the final 11 Houston batters in order.
“He gets a pitch to hit and he's not missing,” Fortes said. “I've never experienced it so I don't know how to describe it.”
Reliever Kevin Kelly earned the win after entering in the sixth inning. Bryan Baker recorded the final outs for his 23rd save of the season.
“I mean, thank God he's on our team,” pitcher Griffin Jax said.
“The way he's doing it with the power and the not chasing and the not whiffing is just so impressive.”
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Major League Baseball is scheduled to announce the full All-Star rosters on Saturday ahead of the Midseason Classic on July 14.