You need to set redirect_ok() to a true value on the the LWP::UserAgent object and it should take of the redirection for you. You will also need to add a cookie jar so that the appropriate Cookie header is sent. i.e. add this before you call request():

use HTML::Cookie;

$ua->redirect_ok(1);
$ua->cookie_jar(HTTP::Cookies->new(file =>  '/tmp/cookies.txt', autosa
+ve => 1 ));
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/J\