$ourVAR = "123 ABC";
  {
    my $ourVAR = "456 RST";
    print "my  packAA  ourVAR = $ourVAR \n";
  }
print "our packAA  ourVAR = $ourVAR \n";
__END__
my  packAA  ourVAR = 456 RST
our packAA  ourVAR = 123 ABC
[download]

In your example, you don't delimit the scope for the my version of $ourVAR, so it's valid unto the rest of the file.

our variables are shared variables in two ways: they are visible to code

• of different packages in the same file

  package Foo;
  our $foo = 'bar';
  
  package main;
  print $foo,"\n";   # bar
  [download]

• in different files belonging to the same package

  # file foo.pl
  use strict;
  our $shared = "one fish";
  [download]

  # file bar.pl
  use strict;
  our $shared =~ s/e f/e half f/;
  [download]

  #/usr/bin/perl
  use strict;
  our $shared;
  require "foo.pl";
  require "bar.pl";
  print $shared,"\n";
  __END__
  one half fish
  [download]

They behave just like they are qualified - with my, and our.

--shmem

_($_=" "x(1<<5)."?\n".q·/)Oo.  G°\        /
                              /\_¯/(q    /
----------------------------  \__(m.====·.(_("always off the crowd"))."·
");sub _{s./.($e="'Itrs `mnsgdq Gdbj O`qkdq")=~y/"-y/#-z/;$e.e && print}