Programatically update linked objects in linked objects

public static void DoSomething(string docPath)
{
  Microsoft.Office.Interop.Word.Application wordApp = new Microsoft.Office.Interop.Word.Application();
  try
  {
    Document doc = wordApp.Documents.Open(docPath, ReadOnly: false, Visible: false, AddToRecentFiles: false);
    doc.Activate();
    for(int i = doc.InlineShapes.Count; i > 0; i--)
    {
      if (doc.InlineShapes[i].Type == WdInlineShapeType.wdInlineShapeLinkedOLEObject)
      {
        if (doc.InlineShapes[i].LinkFormat.SourceName.Split('.')[doc.InlineShapes[i].LinkFormat.SourceName.Split('.').Length - 1] == "docx")
          DoSomething(doc.InlineShapes[i].LinkFormat.SourceFullName);
        doc.InlineShapes[i].LinkFormat.Update();
        doc.Save();
      }
    }
    (doc as _Document).Close();
    (wordApp as _Application).Quit();
  }
  catch { }
  System.Runtime.InteropServices.Marshal.ReleaseComObject(wordApp);
}