  We scrutinize the conserved energy of an accelerating AdS black hole by
employing the off-shell quasilocal formalism, which amalgamates the ADT
formalism with the covariant phase space approach. In the presence of conical
singularities in the accelerating black hole, the energy expression is
articulated through the surface term derived from our formalism. The essence of
our analysis of the quasilocal energy resides in the surface contributions
coming from the conical singularities as well as the conventional radial
boundary. Consequently, the resultant conserved quasilocal energy naturally
conforms the thermodynamic first law for the black hole without necessitating
any augmentation of thermodynamic variables.
