  We investigate the properties of the excited state of $^4\mathrm{He}$,
$^4\mathrm{He}^*$, within the framework of Efimov physics and its connection to
the unitary point of the nuclear interaction. We explore two different
approaches to track the trajectory of $^4\mathrm{He}^*$ as it crosses the
$^3\mathrm{H}$+p threshold and potentially becomes a resonant state. The first
approach involves an analytical continuation of the energy with respect to the
Coulomb coupling, while the second approach introduces an artificial four-body
force that it is gradually released. By utilizing Pad\'e approximants and
extrapolation techniques, we estimate the energy and width of the resonance.
Our results suggest a central energy value of $E_R=0.060(3)$ MeV and a width of
$\Gamma/2=0.036(6)$ MeV using the Coulomb analysis, and $E_R=0.068(1)$ MeV and
$\Gamma/2=0.007(5)$ MeV with the four-body force analysis. Interestingly, these
results are consistent with calculations based on {\it ab-initio} nuclear
interactions but differ from the accepted values of the $0^+$ resonance energy
and width. This highlights the challenges in accurately determining the
properties of resonant states in light nuclei and calls for further
investigations and refinements in theoretical approaches.
