There is no need for flags and counters. It's just making it too complicated. Here is a simple way to do it. First initialize the string to a quote, because you want to start with a quote. then foreach number, add on a job string with the pipes after. once yore done, chop off the last three characters because you don't want two pipes and a space on the end. and put everything in a subroutine so that you aren't just using global variables all over the place.

#!/usr/bin/env perl

use strict;
use warnings;
use feature 'say';

run();

sub run
{

    my @arr = (12341,1245125,1525125,125125125);

    my $str = '"';
    foreach my $num (@arr) {
        $str .= "job==$num || ";
    }
    chop $str;
    chop $str;
    chop $str;
    $str .= '"';
    say $str;

    return $str;
}
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