[Feature Request] Custom DNS for head node

Is there a way to configure a custom(public/private) dns for headnode? I.e. at cluster provisioning time, add a record to existing hosting zone for the cluster head node (and delete the record at cluster deletion time)

Start by tracing the cluster provisioning and deletion entry points, then review how custom public or private DNS and an existing hosting zone would be represented. Done means a configurable head-node DNS record is created during provisioning and deleted during cluster deletion, with the expected behavior confirmed for both DNS types.

Written by the indexing model from the issue text.