Why not use the following? It only uses core functions and modules, and works irregardless of Daylight savings Time.

use Time::Local qw( timegm_nocheck );

sub get_yesterday {
   my ($date) = @_;
   my ($year, $month, $day) = split(/-/, $date);

   return sprintf("%d-%02d-%02d",
      (gmtime(timegm_nocheck(0, 0, 0, $day-1, month, $year)))[5, 4, 3]
   );
}
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