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The construction is based on two-dimensional state sum TQFT whose input datum is an $H$-simple left $H$-comodule algebra, where $H$ is a finite dimensional semisimple Hopf algebra. We show that the actions of fusion category symmetries $\\mathcal{C}$ on the boundary conditions of these state sum TQFTs are represented by module categories over $\\mathcal{C}$. 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