Duplicate custom post status is set to published instead of draft

Hello,
I know that there is already a open thread about this problem but I think that is better to create a new one because maybe they are not related.

So, I have a commercial theme that define a custom post for real properties. I would like that when a user create a duplicate the default status is draft instead of published.

I found the code that is used to register the specific custom post type:

// register the custom post type
add_action('init', 'wpestate_create_property_type',1);

if( !function_exists('wpestate_create_property_type') ):
function wpestate_create_property_type() {
    register_post_type('estate_property', array(
        'labels' => array(
            'name'                  => __('Properties','wpestate'),
            'singular_name'         => __('Property','wpestate'),
            'add_new'               => __('Add New Property','wpestate'),
            'add_new_item'          => __('Add Property','wpestate'),
            'edit'                  => __('Edit','wpestate'),
            'edit_item'             => __('Edit Property','wpestate'),
            'new_item'              => __('New Property','wpestate'),
            'view'                  => __('View','wpestate'),
            'view_item'             => __('View Property','wpestate'),
            'search_items'          => __('Search Property','wpestate'),
            'not_found'             => __('No Properties found','wpestate'),
            'not_found_in_trash'    => __('No Properties found in Trash','wpestate'),
            'parent'                => __('Parent Property','wpestate')
        ),
        'public' => true,
        'has_archive' => true,
        'rewrite' => array('slug' => 'properties'),
        'supports' => array('title', 'editor', 'thumbnail', 'comments','excerpt'),
        'can_export' => true,
        'register_meta_box_cb' => 'wpestate_add_property_metaboxes',
        'menu_icon'=>get_template_directory_uri().'/img/properties.png'
         )
    );

Let me know if you need other information, like debug output, or if you want to try some specific code.

Thank you ind advance for the support,
Marco