You are not logged in.
fyi
Your browsing history is still easily accessible via your dns cache even upon Incognito window close. When you search or browse in Incognito Mode, that data is generally going to Google’s servers and hundreds of data collectors can continue to track you.
Offline
Epic itself doesn't connect to any Google servers. What connects to Google is the Widevine plugin which is owned by Google and needs to check for updates whenever it's opened (or it doesn't work). Interesting that if you block it, Epic doesn't work -- that shouldn't happen. You should also be able to delete the Widevine plugin somewhere and Epic should work fine. Widevine is a proprietary plugin for DRM media e.g. Netflix, and many other media sites use to stream media while protecting it.
Offline