  In our previous work [D. Wu and S.-Q. Wu, Phys. Rev. D 108, 064034 (2023)],
we have formulated consistent thermodynamic first law and Bekenstein-Smarr mass
formulae for all higher even-dimensional uncharged Taub-NUT (AdS) spacetimes
through the inclusion of a secondary hair $J_n = Mn$ as did in the
four-dimensional NUT-charged cases [S.-Q. Wu and D. Wu, Phys. Rev. D 100,
101501(R) (2019)]. In this article, we will show that the corresponding
Reissner-Nordstr\"om(RN)-NUT (AdS) cases in all higher even-dimensions can be
coherently treated just like the uncharged cases if another secondary hair $Q_n
\propto qn$ is further introduced as did in the four-dimensional dyonic
NUT-charged case [D. Wu and S.-Q. Wu, Phys. Rev. D 105, 124013 (2022)]. As a
by-product of our consequence, it is also demonstrated that there is no need to
introduce the secondary hair $Q_n$ in the mass formulae for the
four-dimensional purely electric-charged RN-NUT (AdS) spacetimes.
