"You can try to use a sharp bit or wire or other similar implement to break through the clog. If the clog is small, or easily broken this will be very easy, but it easy to imagine how this might not work every time." (http://wiki.solidoodle.com/unclogging-procedures)
I did that but no avail. I didn't dare to push too hard worrying it might break the machine and (obviously) break the warranty.
It's now sitting in my room. I can't return it for refund (if they accept) since the shipping fee is >$100. I feel like a total idiot spending almost $800 (including import duty) for a very expensive toy that doesn't work.