I've fetched some older versions (again, I am running 22.04.4) of packages gir1.2-mutter-10 libmutter-10-0 and mutter-common and made them into hold status. After a very ugly and dangerous move, namely editing /var/lib/dpkg/status by hand (to comply the dependencies of gnome-shell which was broken by forcing older versions of packages ... maybe I should have simply installed also older version of gnome-shell, hmm ...), now everything works perfectly again.
I've fetched some older versions (again, I am running 22.04.4) of packages gir1.2-mutter-10 libmutter-10-0 and mutter-common and made them into hold status. After a very ugly and dangerous move, namely editing /var/lib/ dpkg/status by hand (to comply the dependencies of gnome-shell which was broken by forcing older versions of packages ... maybe I should have simply installed also older version of gnome-shell, hmm ...), now everything works perfectly again.