I have a node that I need to copy that has multiple levels of children.  These child nodes are published.  When I copy the parent node, I want the duplicated children to be published like the source items.  Is there a way to do this with the api, or should I loop over the children recursively and publish them individually?

Here is how i am copying nodes:

var documentToBeCopied = new Document(101);
documentToBeCopied.Copy(DestinationNodeId, myUser);