  In previous works, we have developed an approach to fix the leading behaviors
of the pure AdS$_3$ and BTZ black hole from the entanglement entropies of the
free CFT$_2$ and finite temperature CFT$_2$, respectively. We exclusively use
holographic principle only and make no restriction about the bulk geometry, not
only the kinematics but also the dynamics. In order to verify the universality
and correctness of our method, in this paper, we apply it to the $T\bar{T}$
deformed CFT$_2$, which breaks the conformal symmetry. In terms of the physical
arguments of the $T\bar{T}$ deformed CFT$_2$, the derived metric is a deformed
BTZ black hole. The requirement that the CFT$_2$ lives on a conformally flat
boundary leads to $r_{c}^{2}=\ 6R_{AdS}^{4}/(\pi c\mu)$ naturally, in perfect
agreement with previous conjectures in literature. The energy spectum and
propagation speed calculated with this deformed BTZ metric are the same as
these derived from $T\bar{T}$ deformed CFT$_2$. We furthermore fix the dual
geometry of highly excited states with our approach. The result contains the
descriptions for the conical defect and BTZ black hole.
