Just 4 days before Damontre Moore was cut by the Dallas Cowboys, the NFL defensive end was in a crazy street brawl in Texas ... and it sounds like someone fired a gun.
TMZ Sports obtained footage from the Oct. 20 incident outside of Bottled Blonde beer garden -- where 25-year-old Moore was getting into it with a group of guys.
One witness tells us the fight was over a woman -- but the details are unclear.
What we do know ... Moore tries to fight two guys -- and ends up getting jumped pretty bad.