Bricks - a universal puzzle

Consider the ideal one-dimensional vertical gravitational field. Suppose we have an unlimited supply of identical ideally uniform bricks of the shape of a rectangular parallelepiped. One brick (A) can be placed on another (B) so that the center of gravity of the brick A is designed within the base of the brick B (that is, the brick A does not fall from the brick B). Now we take the bricks A and B together and put their top on the brick B, so that the common center of mass of the bricks A and B is projected within the base of the brick B. In this case, the construction will remain stable.


If we continue this process to infinity, what maximum distance along the horizontal can be achieved between the left sides of the top and bottom bricks so that not a single brick falls?