  We investigate exotic stars composed of dark energy within the context of
Einstein's General Relativity, by applying an extended Chaplygin gas
equation-of-state. To account for anisotropies, we utilize a formalism based on
the complexity factor to obtain numerical solutions. By applying
well-established criteria, we demonstrate that the solutions are physically
valid and well-behaved. In addition, a comparison with a more conventional
approach is also conducted.
