As a history enthusiast, Anning had always wanted to experience history firsthand, even if it were the history of another dimension.
For this, he must win this seat, so that in the future, he can sit in the National Assembly and witness those famous scenes with his own eyes.
In plain terms, Anning is currently treating this with the mindset of someone visiting a theme park, and everything he is doing right now is to secure a ticket to this "French Revolution" theme park.
The representatives of the Third Estate are elected—indeed, that's true, but due to the limited organizational capabilities of this timeframe, the actual voter turnout in each district is shockingly low.
Thus, a more accurate description is: The representatives of the Third Estate are selected by the activists of the various regions.
A worker who is busy with earning a living and is occupied in some already quite sizable factories certainly has no time to vote and elect their own representatives.