How can I count total pages in a Google Document using Apps Script?

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I need to find out how many pages are in my Google Document when it gets exported as a PDF using Google Apps Script.

I wrote some code to try this but it keeps giving me 0 as the result instead of showing the actual page count. Here’s what I tried:

function countDocumentPages() {
  var pdfBlob = DocumentApp.getActiveDocument().getAs("application/pdf");
  var blobData = pdfBlob.getDataAsString();
  var pattern = /Pages\/Count (\d+)/g;
  var result;
  var totalPages = 0;

  while(result = pattern.exec(blobData)) {
    Logger.log("FOUND = " + result[1]);
    
    var pageNumber = parseInt(result[1]);
    
    if (pageNumber > totalPages) {
      totalPages = pageNumber;
    }
  }

  Logger.log("total pages = " + totalPages);
  
  return totalPages;
}

The function runs without errors but always returns 0. Is there a better way to get the page count from a Google Doc using Apps Script?