  In this paper, we study the Aggrawal, Ciambelli, Detournay, and Somerhausen
(ACDS) boundary conditions ref[42] for Warped AdS$_3$ (WAdS$_3$) in the
framework of General Massive Gravity (GMG) in the quadratic ensemble. We
construct the phase space, the asymptotic structure, and the asymptotic
symmetry algebra. We know that the global surface charges are finite, but not
integrable, and also we find the conditions to make them integrable. In
addition, to confirm that the phase space has the same symmetry as that of
Warped Conformal Field Theory (WCFT), we compare the bulk entropy of Warped BTZ
(WBTZ) black holes with the number of states belonging to a WCFT.
