Is that integer range "between 1 and 3" inclusive or exclusive? You might want to include some error-checking:

{
  print "Pick an integer between 1 and 3 (exclusive):"
  $mynum1 = <STDIN>;
  (print "Follow instructions!\n"),redo 
     unless ($mynum < 3) and ($mynum > 1) and ($mynum == int($mynum));
}
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