How can I use an external lib in a BEGIN block

I want to use an external library in the BEGIN block of a Perl script. The first test which I did was to check whether my @INC is getting popullated if I push some values:

use strict;
use warnings;

BEGIN {
    push @INC, "d:/external_pm/";

    use Data::Dumper;
    print Dumper @INC;
}

Which works as expected and shows:

$VAR1 = 'D:/perl/5163/site/lib';
$VAR2 = 'D:/perl/5163/lib';
$VAR3 = '.';  # I am not sure about this one?!
$VAR4 = 'd:/external_pm/';

Now I want to import a module right after the push:

use strict;
use warnings;

BEGIN {
    push @INC, "d:/external_pm/";

    use Data::Dumper;
    print Dumper @INC;
    use ExtScript;
}

The error which follows is showing me that @INC was not updated:
Can't locate ExtScript.pm in @INC (@INC contains: D:/perl/5163/site/lib D:/perl/5163/lib .) at file.pl line 9. BEGIN failed--compilation aborted at file.pl line 9.

Why the @INC it's not updating? I can't import a module in the BEGIN block? Or is a missusage of Perl?