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We study weak solutions to mean curvature flow satisfying Young's anglecondition for general contact angles $\alpha \in (0,\pi)$. First, we constructBV solutions using the Allen-Cahn approximation with boundary contact energy asproposed by Owen and Sternberg. Second, we prove the weak-strong uniqueness andstability for this solution concept. The main ingredient for both results is arelative energy, which can also be interpreted as a tilt excess.

BV solutions for mean curvature flow with constant contact angle: Allen-Cahn approximation and weak-strong uniqueness