Baseball season opened up with the Chicago Cubs at home at Wrigley Field. They scored 2 home runs in the third inning, 1 home run in the fifth inning and 2 more home runs in the eighth inning. Their opponents, the Cardinals, scored 1 home run in the second inning and 1 home run in the fifth inning. How many more home runs did the Chicago Cubs score than the Cardinals in the game?
Please reason step by step, and put your final answer within \boxed{}.
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