The correct statement for the command 'addNode localhost 8879 includeapps' is that the running application server continues to run and the same version of the application starts in the new environment. The 'addNode' command is used to add an application server to a deployment manager’s cell configuration, and specifying 'includeapps' ensures that the applications currently running on the node are included in the new environment without interrupting the running state of the application server.