Comment # 13 on bug 1177395 from Jonathan Kang

(In reply to Chris Schaller from comment #11)
> Created attachment 843191 [details]
> output of journalctl -S 2020-10-31
> 
> Today gnome-software got stuck again.

I don't find anything particularly wrong in the logs. PackageKit did finish a
few transactions(refresh-cache, get-updates) when GNOME Software is starting up
in the background.

Somehow PackageKit quits after idling for 300-ish seconds. I remember that
should be 15. Can you show the content of your /etc/PackageKit/PackageKit.conf?