You'd probably be better served by creating a custom taxonomy to accompany your custom post type. That way you can manage terms separate from the built-in categories taxonomy.
// Register Custom Taxonomy
function wpse_168762_create_gallery_taxonomy() {
$labels = array(
'name' => _x( 'Gallery Categories', 'Taxonomy General Name', 'text_domain' ),
'singular_name' => _x( 'Gallery Category', 'Taxonomy Singular Name', 'text_domain' ),
'menu_name' => __( 'Gallery Categories', 'text_domain' ),
'all_items' => __( 'All Gallery Categories', 'text_domain' ),
'parent_item' => __( 'Parent Gallery Category', 'text_domain' ),
'parent_item_colon' => __( 'Parent Gallery Category:', 'text_domain' ),
'new_item_name' => __( 'New Gallery Category Name', 'text_domain' ),
'add_new_item' => __( 'Add New Gallery Category', 'text_domain' ),
'edit_item' => __( 'Edit Gallery Category', 'text_domain' ),
'update_item' => __( 'Update Gallery Category', 'text_domain' ),
'separate_items_with_commas' => __( 'Separate Gallery Categories with commas', 'text_domain' ),
'search_items' => __( 'Search Gallery Categories', 'text_domain' ),
'add_or_remove_items' => __( 'Add or remove Gallery Categories', 'text_domain' ),
'choose_from_most_used' => __( 'Choose from the most used Gallery Categories', 'text_domain' ),
'not_found' => __( 'Not Found', 'text_domain' ),
);
$args = array(
'labels' => $labels,
'hierarchical' => true,
'public' => true,
'show_ui' => true,
'show_admin_column' => true,
'show_in_nav_menus' => true,
'show_tagcloud' => true,
);
register_taxonomy( 'gallery_category', array( 'gallery' ), $args );
}
// Hook into the 'init' action
add_action( 'init', 'wpse_168762_create_gallery_taxonomy', 0 );
To attach the custom taxonomy on the other end (register_post_type
), you would amend your 'taxonomies' parameter to 'taxonomies' => array('gallery_category')
. If you needed to attach multiple taxonomies, it would be 'taxonomies' => array('gallery_category','category')
It's still required to register the custom taxonomy for this to work.