This extension needs updating and no longer works with v43 and possible others. I believe it could be related to the changes to the core host connector. The Chromium extension works fyi!

Ecco cosa mi compare quando cerco di installare qualche componente aggiuntivo ma non mi da la soluzione:Anche se l'estensione «Integrazione con GNOME Shell» è in esecuzione, il connettore host nativo non è rilevato. Fare riferimento alla documentazione per istruzioni sull'installazione del connettore.

reasons I do not know yet, but here on Jammy (22.04) is not working. States it is install, but not working. help brings us to install chrome-gnome-shell or rather the newer gnome browser extention...
Seems to be a Loop.... Gnome wants us to add thi into Firefox... yet, they say its not working.... install chrome brower exten. ...

awesome

goodness of blessing

But it doesn't work on ubuntu's preinstalled firefox.

Looks like some native configuration wizard or package is missing generally in e.g. Ubuntu store.

Amazing extension for everybody working in GNOME 41, and previos versions too.

All right!