As the enemy sniper tried to search for Jin once more hoping that he had not made it to the house, Jin was already at the side of the window waiting for an opportunity to hop on her. Lark and Kurt thought that he brought a pistol for that reason.
Easy manoeuvrability allows the user to have a quick shot and retract even though it has risk in doing so. But what Jin did threw them off their chairs. Instead of what they thought of him pulling his FN Five Seven out to shoot, Jin grabbed the rifle barrel and lugged it outwards.
This caused the sniper enemy to be pushed forward out to the window grill where Jin could safely insert a bullet into her neck. That was when Raymond found that it was someone familiar and started to ask its own AI assistant to track where he had seen that woman before.