Charlie and his companions, leaving Alamo, arrived at Luz and inquired about Ella's whereabouts.
And they realized they were already one step behind.
The circus troupe where Ella was had already left Luz and was gone.
So they returned to Vegas.
It was the most rational choice.
Vegas was geographically central among the 6 cities.
Even if Ella appeared in another city, it would be easiest to handle her in Vegas.
Moreover, Vegas was familiar to them.
It wasn't far from Alamo, where their school was.
They used to go on picnics or field trips here regularly.
Of course, most of the time, the purpose was to watch performances.
Vegas was the largest and most developed city in the eastern region of the continent.
Due to the wealth pouring in from all directions and the population constantly flowing in to find jobs, the city was on the verge of exploding beyond capacity.