Galveston County sheriff's deputies responded to a possible robbery call at a convenience store along Tuscan Lakes Boulevard and FM-646 around 9:30 p.m.
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The deputy involved was 100 yards away and said the suspect came out of the store with a handgun.
That's when authorities say the shootout began.
"He pulled in the parking lot and...the individual exited the store, brandishing a handgun and charged the officer," Galveston County Sheriff Henry Trochesset said.
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The suspect died at the scene.
The deputy is shaken up, but is said to be okay.
The Galveston County district attorney's office is investigating.