Er, did you actually read my reply?
- The page requires Javascript.
- Neither LWP::UserAgent nor WWW::Mechanize support Javascript.
- Thus, your approach can not work.
If you want to try to accomplish your task in Perl, you could look at
Selenium::Remote::Driver, but that would require installing a headless browser on your system. Or, you could choose to accomplish your task without Perl using
PhantomJS. Either way, you have a lot of work and learning ahead of you.
The way forward always starts with a minimal test.