code: def add_index_to_domain(
      self, domain: str, index: type[Index], override: bool = False
  ) -> None:
      logger.debug("[app] adding index to domain: %r", (domain, index))
      if domain not in self.domains:
          raise ExtensionError(
              __("domain %s not yet registered") % domain
          )
      indices = self.domain_indices.setdefault(domain, [])
      if index in indices and not override:
          raise ExtensionError(
              __("The %r index is already registered to domain %s")
              % (index.name, domain)
          )
      indices.append(index)
  
imports: from __future__ import annotations
  import sys
  import traceback
  from importlib import import_module
  from types import MethodType
  from typing import TYPE_CHECKING, Any, Callable
  from sphinx.domains import Domain, Index, ObjType
  from sphinx.domains.std import GenericObject, Target
  from sphinx.errors import ExtensionError, SphinxError, VersionRequirementError
  from sphinx.extension import Extension
  from sphinx.io import create_publisher
  from sphinx.locale import __
  from sphinx.parsers import Parser
  from sphinx.roles import XRefRole
  from sphinx.util import logging
  from sphinx.util.logging import prefixed_warnings
label_desc: Use image node_id 10 for calling the SphinxComponentRegistry obj's underlying member method code with example usage: obj.add_index_to_domain(domain, index, override) without return types