The Houston Police Department said the shooting happened just before 9 p.m. on Wednesday at the business along Lee Road near Velma.
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One of the men reportedly got upset at the other two workers and took out a gun, firing at both of them.
HPD said one of them was shot once in the arm and the other multiple times in the chest area.
The suspected shooter took off, though it's unclear if by vehicle or on foot.
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Both victims were taken to the hospital and are expected to survive.
It's unclear what the dispute was about.