1. use lib is better.
2. BEGIN blocks execute before anything else, including code above it.

use lib "$ENV{HOME}/prod_support/scripts";
use myLib;

#### Or ...

BEGIN {
    $home = $ENV{HOME};
    push @INC, "$home/prod_support/scripts";
}
use myLib;
[download]

On a separate note, you should be using strict and warnings.

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We are the carpenters and bricklayers of the Information Age.

Don't go borrowing trouble. For programmers, this means Worry only about what you need to implement.

Please remember that I'm crufty and crochety. All opinions are purely mine and all code is untested, unless otherwise specified.