code: def run(self) -> tuple[list[Node], list[system_message]]:
      assert self.name == self.orig_name.lower()
      inventory, name_suffix = self.get_inventory_and_name_suffix(
          self.orig_name
      )
      if inventory and not inventory_exists(self.env, inventory):
          logger.warning(
              __(
                  "inventory for external cross-reference not found: %s"
              ),
              inventory,
              location=(self.env.docname, self.lineno),
          )
          return [], []
  
      role_name = self.get_role_name(name_suffix)
      if role_name is None:
          logger.warning(
              __("role for external cross-reference not found: %s"),
              name_suffix,
              location=(self.env.docname, self.lineno),
          )
          return [], []
  
      result, messages = self.invoke_role(role_name)
      for node in result:
          if isinstance(node, pending_xref):
              node["intersphinx"] = True
              node["inventory"] = inventory
  
      return result, messages
  
imports: from __future__ import annotations
  import concurrent.futures
  import functools
  import posixpath
  import re
  import sys
  import time
  from os import path
  from typing import TYPE_CHECKING, cast
  from urllib.parse import urlsplit, urlunsplit
  from docutils import nodes
  from docutils.utils import relative_path
  import sphinx
  from sphinx.addnodes import pending_xref
  from sphinx.builders.html import INVENTORY_FILENAME
  from sphinx.errors import ExtensionError
  from sphinx.locale import _, __
  from sphinx.transforms.post_transforms import ReferencesResolver
  from sphinx.util import logging, requests
  from sphinx.util.docutils import CustomReSTDispatcher, SphinxRole
  from sphinx.util.inventory import InventoryFile
label_desc: Use image node_id 2 for calling the IntersphinxRole obj's underlying member method code with example usage: obj.run() and returns: result,  messages, list,  list, list,  list