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We show that for generic stationary spacetime and specific Killing fields,Wald's approach for quasi-local energy could be generalized to the first orderformalism straightforwardly without introducing the Lorentz-Lie derivative. Viathis approach, we derive the general formula for the black hole entropy inthree dimensional torsional Mielke-Baekler gravity, reproducing precisely thetotal energy, the angular momentum as well as the black hole entropy for theBTZ-like solutions.

Quasi-local Energy in 3D Gravity with Torsion