If you are interested in reading the whole article, please be my guest, but if you'd like to jump to the payload, use your browser search for "sortition".
(Though I can't help but point out the article undercuts its own premise accidentally. The EU, to the extent that it is even a democracy, is certainly subject to the exact same flaws described in the first half of the article! Therefore, logically, the decision to leave an organization where democracy is failing must not be so bad, even if it was made by a process that was itself democratically flawed. This does not "destroy the argument", in the parlance of the day, but it weakens this particular vote being used as the hook for the article. A vote on any other topic would arguably work better.)