It is always a challenge for App Lounge and Aurora Store. In this thread App Lounge hangs on many "common" apps that idea is explored and there is a suggestion that Fairphone may be particularly disadvantaged.
There are also suggestions in that thread expanding on the App Lounge FAQ including log out and log in, don’t keep trying after any fail, turn off Advanced privacy.
One time I inadvertently cleared an App Lounge stall such as yours, while attempting to collect a logcat of the App Lounge stall, App Lounge open, I rebooted while phone is in charging mode.