List item label processor not working for type field.

Content types are not transform to it labels.

My variant of ListItemProcessor:

public function __construct(array $configuration, $plugin_id, $plugin_definition, ConfigManagerInterface $config_manager, EntityFieldManagerInterface $entity_field_manager) {
    .....
    $this->entityTypeBundleInfo = \Drupal::service('entity_type.bundle.info');
  }

  public function build(FacetInterface $facet, array $results) {
    ....
    $allowed_values = $field->getSetting('allowed_values');

    if (empty($allowed_values) && $function = $field->getSetting('allowed_values_function')) {
      $allowed_values = ${$function}($field);
    }

    if (empty($allowed_values) && $bundles = $this->entityTypeBundleInfo->getBundleInfo($entity)) {
      foreach ($bundles as $key => $bundle) {
        $allowed_values[$key] = $bundle['label'];
      }
    }
 
    ....
  }