You can check the label app-lounge. There are indeed several threads that may describe your problem:
- App Lounge anonymous mode current disruption
- Upgrade in 2.7-t breaks app-lounge and some of my apps (tl;dr: clearing app cache & app storage may help)
App Lounge seems to "work on my machine"™, although a bit slow - but I am aware that this does not help you 
Another workaround is to use Aurora Store and an F-Droid client (as I do) to access Play Store & F-Droid apps. See e.g. [HOWTO] Download every app in the Google Play Store thanks to Aurora Store and www.f-droid.org. (You may be able to download both with App Lounge by restricting App Lounge to open-source apps.)
BTW, you may additionally give your complete /e/OS version info, see e.g.