Extensions and amendments

If I filed jointly and claimed. Child dependent with their income on my return , I believe I can later amend to delete the dependent and have her file a return(because she could show she was not a dependent and could thus get done tax credits greater than the child tax credit I would get).   The original return was filed with an extension, so it’s last amendment date to get a refund is 3 years from the actual filing date.  However, does that extension also apply to the child’s individual tax return(which wasn’t filed at all as the income was included in the parents return)-since effectively my return was her return.