I don't even know where to start looking for this bug,
It's opening in the "wrong" place, so let's start with the open call:
open(LOG, ">>$dir/$log_file") or croak "Unable to append to error log: + $!";
So it uses $dir .. now to see where that's set, which is in BEGIN .. and has this snippet:
$0 =~ '(.*[\\\/])\w+\.\w+$'; $dir = $1;
Several important items here:

In reply to Re: Logging module sometimes writes its file in the wrong directory by davidrw
in thread Logging module sometimes writes its file in the wrong directory by Anonymous Monk

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