  We formulate three-flavor type-I leptogenesis in the $\mu\tau$ basis which is
convenient because in the three-flavor regime, both $\mu$ and $\tau$ charged
lepton Yukawa interactions are in thermal equilibrium and the thermal bath is
symmetric under the exchange $\mu \leftrightarrow \tau$. We apply this
formalism to models with $\mu\tau$-reflection $\mathsf{CP}^{\mu\tau}$ symmetry.
We confirm the previous result that leptogenesis fails in the three-flavor
regime with exact $\mathsf{CP}^{\mu\tau}$ symmetry. Allowing
$\mathsf{CP}^{\mu\tau}$ symmetry to be broken to various degrees, we show that
leptogenesis can be successful in the three-flavor regime only in certain tuned
parameter space, which could further imply additional symmetry is at play. As a
bonus, we derive analytical expressions which could be utilized whenever the
branching ratios for the decays to $\mu$ and $\tau$ flavors are equal or
approximately so.
