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Could a class A stellar engine (or maybe a class C one) be built using a brown dwarf (for argument's sake, a T-dwarf like Gliese 229B)? Would it be capable of enough thrust to move itself any appreciable distance over a long enough period of time? (Let's say over a period of a billion years.)

As a possible follow-up if the answer above is more or less "yes", would any appreciable additional thrust be possible to create by generating an asymmetrical solar-flare like eruption in a modified variation of a thermal-driven outflow "star lifting" technique?

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