It happened just after midnight Wednesday at 10th Street and Wagner Avenue.
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Police say the entire incident was captured on surveillance.
The customer was seen playing a video machine when he got up and attacked the worker.
The struggle lasted about one minute then the suspect shot the worker once in the arm.
He's in stable condition.
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The shooter was able to run away before police arrived.
Officers are interviewing two clerks who were also in the store, but were not hurt.
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