  The Asymptotic WGC has been proposed as a special case of the tower WGC that
probes infinite distances in the moduli space corresponding to weakly coupled
gauge regimes. The conjecture has been studied in M-theory on Calabi-Yau
threefold (CY3) with finite volume inducing a 5D effective QFT. In this paper,
we extend the scope of the previous study to encompass lower dimensions,
particularly we generalise the obtained 5D asymptotic WGC to the effective
field theory $EFT_{3D}$ coupled to 3D gravity that descends from M-theory
compactified on Calabi-Yau fourfold with an emphasis on K3 x K3. We find that
the CY4 has three fibration structures labelled as line Type-$T^2$, surface
Type-$S$ and bulk Type-$V$. The emergent $EFT_{3D}$ is shown to have 2+2 towers
of states occupied by light and heavy BPS as well as non BPS particles. To
ensure the viability of the 3D Asymptotic WGC, we give explicit calculations to
thoroughly test the swampland constraint for both the weakly and strongly gauge
coupled regimes. Additional aspects, including the gauge symmetry breaking and
duality symmetry are also investigated.
