Same problem, I’ve changed in /etc/resolv.conf from
search local.hass.io
nameserver 127.0.0.11
options ndots:0
to just nameserver 1.1.1.1
and at least I can ping from hassos, but still can’t access external services (Volvo On Call, CoronaVirus, Weather etc.)
Also I got this strange error when doing ha dns logs
~ $ ha dns logs
/config/corefile:16 - Error during parsing: Unknown directive 'fallback'
There is no corefile in whole system…