The public event kill target especially on Earth is defective.
So many times they are near impossible to kill and they get to the end point way to fast.
Either fix it or you'll see even more ignore it. All it seems to do is use u all your ammo for nothing.
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You better have a weapon that has the required element to drop the shield very quickly and a maxed out primary to keep sustained damage on the target. Otherwise you are better off running away lol.