  HESS J1843$-$033 is a very-high-energy gamma-ray source whose origin remains
unidentified. This work presents, for the first time, the energy spectrum of
gamma rays beyond $100\, {\rm TeV}$ from the HESS J1843$-$033 region using the
data recorded by the Tibet air shower array and its underground muon detector
array. A gamma-ray source with an extension of $0.34^{\circ} \pm 0.12^{\circ}$
is successfully detected above $25\, {\rm TeV}$ at $(\alpha,\, \delta) =
(281.09^{\circ}\pm 0.10^{\circ},\, -3.76^{\circ}\pm 0.09^{\circ})$ near HESS
J1843$-$033 with a statistical significance of $6.2\, \sigma$, and the source
is named TASG J1844$-$038. The position of TASG J1844$-$038 is consistent with
those of HESS J1843$-$033, eHWC J1842$-$035, and LHAASO J1843$-$0338. The
measured gamma-ray energy spectrum in $25\, {\rm TeV} < E < 130\, {\rm TeV}$ is
described with ${\rm d}N/{\rm d}E = (9.70\pm 1.89)\times 10^{-16} (E/40\, {\rm
TeV})^{-3.26\pm 0.30}\, {\rm TeV}^{-1} {\rm cm}^{-2} {\rm s}^{-1}$, and the
spectral fit to the combined spectra of HESS J1843$-$033, LHAASO J1843$-$0338,
and TASG J1844$-$038 implies the existence of a cutoff at $49.5\pm 9.0\, {\rm
TeV}$. Associations of TASG J1844-038 with SNR G28.6$-$0.1 and PSR J1844-0346
are also discussed in detail for the first time.
