Tyrese Gibson 's Cane Corsos ran rampant through the neighborhood before they killed another dog, cops claim ... barking at a neighbor's house mere minutes before the fatal attack.

The Fulton County Police Department released video of the dogs from September 18 -- the night of the fateful mauling which resulted in a warrant for Tyrese's arrest -- which shows multiple dogs milling about the front yard of a neighbor's home in Atlanta, captured by doorbell cam.

The dogs are sniffing around and one barks loudly a couple times ... before the pack of pups rushes off away from the home.

According to FCPD, the dogs were in this yard at 10:01 PM and 10:04 PM ... which overlaps with the time Fulton County Police Animal Services Captain Nicole Dwyer claims the neighbor says he let his dog, Hen

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