There is a newer image in backports, I installed version: # apt list --installed | grep linux-image.*backlinux-image-6.5.0-0.deb12.4-amd64/stable-backports,now 6.5.10-1~bpo12+1 amd64 [installed]
After reboot version changed: # uname -aLinux P7730 6.5.0-0.deb12.4-amd64 #1 SMP PREEMPT_DYNAMIC Debian 6.5.10-1~bpo12+1 (2023-11-23) x86_64 GNU/Linux
And problem (when connecting cable network) is gone, network and Gnome work as usual :-)