The generalized triple bubble conjecture with enlarged prescribed areas

Let $A_1$, $A_2$, and $A_3$ be positive real numbers. Consider planar graphs enclosing and separating finite areas $B_1$, $B_2$, and $B_3$ satisfying

$$B_i\geq A_i\quad\text{for all }i.$$

A standard triple bubble is the standard perimeter-minimizing triple-bubble complex associated with three areas. Generalized triple bubble conjecture. The least perimeter graph among those enclosing and separating such areas $B_1$, $B_2$, and $B_3$ is a standard triple bubble. The paper presents this as an alternate version of the triple bubble conjecture, and the source gives no resolution.