Hi @CME101
What you need to do is configure the workstation to use one of the domain controllers as a DNS resolver in order to join it to the domain (if the DNS zone of your domain is hosted on the domain controllers) .
In the local DNS server (domain controller), you must add DNS forwarders to let domain controller forward DNS queries to a public DNS server.
If the internal domain has the same suffix as the name of the external DNS zone, the redirection of the DNS requests will not work for this DNS zone, in this case it is necessary to recreate the DNS entries for all your public server like www in the local DNS server.
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