Beginning
Nothing begins here.
The button brought you this far. This is as far as it goes. Nobody is in to start anything, and there is nothing to start.
What there is instead
The Wyoming page. It has the statute, what the state does to a company whose agent is out, and the fee to come back. Read that, then decide whether twelve dollars was the point.
When someone will be in
The truck comes and goes. We do not keep a log. If you need an agent who is in the chair when the papers arrive, that is a different price and a different outfit.