  The Phenomenologically Emergent Dark Energy model, a dark energy model with
the same number of free parameters as the flat $\Lambda$CDM, has been proposed
as a working example of a minimal model which can avoid the current
cosmological tensions. A straightforward question is whether or not the
inclusion of massive neutrinos and extra relativistic species may spoil such an
appealing phenomenological alternative. We present the bounds on $M_{\nu}$ and
$N_{\rm eff}$ and comment on the long standing $H_0$ and $\sigma_8$ tensions
within this cosmological framework with a wealth of cosmological observations.
Interestingly, we find, at $95\%$ confidence level, and with the most complete
set of cosmological observations, $M_{\nu}\sim 0.21^{+0.15}_{-0.14}$ eV and
$N_{\rm eff}= 3.03\pm 0.32$ i.e. an indication for a non-zero neutrino mass
with a significance above $2\sigma$. The well known Hubble constant tension is
considerably easened, with a significance always below the $2\sigma$ level.
