Check with
docker run -it --rm busybox nslookup google.com
Downgrade NM to previous version solved problem.
Docker version 1:20.10.3-3
UPD. Network also not working between containers. Found this problem when try to start hass.io (Home Assistant with Supervisor)
UPD2. Fresh install in VirtualBox. Run busybox in docker - all OK. Something strange...
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