What do you mean incompatible with LineageOS? In LineageOS you have to choice to install Google services like Google Play, or use the Aurora store.
In /e/os/ they have their own app store, App Lounge, with which you can install apps from Google Play through the Google Play API, similar to how the Aurora store does it. And you can also find open-source and PWA apps in it.
In /e/os/ they have their own app store, App Lounge, with which you can install apps from Google Play through the Google Play API, similar to how the Aurora store does it. And you can also find open-source and PWA apps in it.
More info: https://doc.e.foundation/support-topics/app_lounge