  We apply the Lee-Wald covariant phase space method to the Weyl-invariant
Topologically Massive Gravity and compute the corresponding on-shell conserved
charges. By using appropriate decay conditions for the existing propagating
modes in the near-horizon of a stationary black hole, we obtain the charges
generating the asymptotic symmetries. We show that the charges are integrable
and the (modified) algebras among the asymptotic generators are closed for the
certain choice of central extensions.
