Restoring my Tiny Tower progress from Game Center?

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Game Center says I have 66 floors, but when I go in the game the pop up about restoring my account doesn't appear.
I'm already logged into my Game Center and have tried:
- Uninstalling and reinstalling the app (countless attempts)
- Force Killing the application, but it didn't help.
- Looked at FAQs about restoring back my floors
I'm on iOS if it helps.
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How do I restore my Game Center data?
If you get a new Android phone, to restore game progress, sign in to the same account you used before....Clear storage of the Play Games appHow do I activate Cloud services in Tiny Tower?
Connecting to CloudHow to delete Game Data on iPhone IOS 11 and Other Versions
Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.
Images: Laura Tancredi, Laura Tancredi, Laura Tancredi, Laura Tancredi