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I found that this issue seems to be related to your country/location/zone/IP Address. Whatever they use to determine where you are.
I was experiencing the issue in my country; the application just would not connect to the store at the end of a game; all I got was the endless circle.
I travelled to the US, FL specifically, and once I was there, everything worked fine. I was able to play for the entire week I was there and collected boosters at the end of each game.
Once I returned to my country, I started to experience the "Connecting to App Store... endless circle" again.