[Task] Use EigenLayer BlueprintRunner and abstract network code

[Tjemmmic]

Overview

Should use the EigenLayer Protocol for the BlueprintRunner, fixing the Runner so that the EigenLayer network acts as the "host" network with Tangle as the target network. The amount of code required to interact with either networks should also be reduced and abstracted.

Some changes need to be made in Gadget to allow for the Runner to live on EigenLayer while interacting with Tangle as expected.