  2-Higgs Doublet Models (2HDMs) typically need to invoke an ad-hoc discrete
symmetry to avoid severe flavor bounds and in addition feature massless
neutrinos, thus falling short of naturally complying with existing data.
However, when augmented by an Abelian gauge symmetry naturally incorporating
neutrino masses via a type-I seesaw mechanism while at the same time escaping
flavor changing interactions, such enlarged 2HDMs become very attractive
phenomenologically. In such frameworks, the distinctive element is the $Z'$
gauge boson generated by the spontaneous breaking of the Abelian group
$U(1)_X$. In this work, we derive updated collider bounds on it. Several
theoretical setups are possible, each with different and sometimes suppressed
couplings to quarks and leptons. Thus, complementary data from dijet and
dilepton resonance searches need to be considered to fully probe these objects.
We employ the corresponding datasets as obtained at the Large Hadron Collider
(LHC) at the 13 TeV CMs energy for $\mathcal{L}=12,36$ and $300$ fb$^{-1}$ of
luminosity. Moreover, we present the potential sensitivity to such $Z'$s of the
High Luminosity LHC (HL-LHC) and High Energy LHC (HE-LHC).
