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The travelling fans breathed a sigh of relief as it was the first away goal scored by the Jets since the fourth round of fixtures in the A-League.
Things continued to improve for the visitors as they took a 2-1 lead just before the 20-minute mark after being awarded a penalty thanks to Corey Brown's handball in the box.
Milos Trifunovic managed to convert from the spot after hesitating on his run-up and coolly slotting the ball into the back of the net.
For the remainder of the half, the Jets seemed content to sit back and prevent their opponents, who had the majority of the possession, from breaking them down.
After the break, the Jets resumed their sturdy defending, but Brisbane were handed a slice of luck when Alivodic sent the ball into his own net in the 69th minute.
Jade North spearheaded the attack and unleashed a shot, which was deflected into the goal by the Jets' midfielder.
The game began to open up, but neither side could make their chances count to seal a winner.