Thick white smoke was billowing out of the building on Ninth Avenue near West 47th Street around 11 a.m.
The fire broke out on the first floor of a building and moved up to the second floor.
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The FDNY said 106 firefighters and EMS responded, and 25 units were deployed to help get the blaze under control.
Three civilians and three firefighters were treated for non-life threatening injuries.
One person suffered a minor injury and was treated at the scene, police said.
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The cause of the fire is under investigation.
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