Does the rate of expansion of the universe exceed the rate at which the local group is being pulled toward the Great Attractor?

Question

I understand that the expansion rate of the universe driven dark energy exceeds the rate at which the local group is being pulled toward The Great Attractor (Hydra-Centaurus Supercluster). Does this mean that the local group will be isolated from the Great Attractor and all other galaxies in 40 billion plus years.

Answer 1

The Milky Way is receding from the members of the Hydra-Centaurus Supercluster.

The Hydra cluster has a red shift of 0.0548.

The Centaurus cluster has a red shift of 0.0114.

The Norma cluster has a red shift of 0.0157.

The local group is and will continue moving away from the Hydra-Centaurus Supercluster.