code: protected function countInContextByContentTypeSiteAndLanguage($contentType, $siteId, $language, PaginateFinderConfiguration $configuration = null, array $searchTypes = array())
      {
          $qa = $this->createAggregateQueryWithDeletedFilter(false);
          $qa->match($this->generateContentTypeFilter($contentType));
          $qa->match($this->generateSiteIdAndNotLinkedFilter($siteId));
          $qa->match($this->generateLanguageFilter($language));
  
          if (!is_null($configuration)) {
              $this->filterSearch($configuration, $qa, $searchTypes);
          }
  
          $qa = $this->generateLastVersionFilter($qa);
  
          return $this->countDocumentAggregateQuery($qa, self::ALIAS_FOR_GROUP);
      }
docs: @param string                      $contentType
  @param string                      $siteId
  @param string                      $language
  @param array                       $searchTypes
  @param PaginateFinderConfiguration $configuration
  
  @return int