  Sulfur isotope ratios have emerged as a promising tool for tracing stellar
nucleosynthesis, quantifying stellar populations, and investigating the
chemical evolution of galaxies. While extensively studied in the Milky Way, in
extragalactic environments they remain largely unexplored. We focus on
investigating the sulfur isotope ratios in the Large Magellanic Cloud (LMC) to
gain insights into sulfur enrichment in this nearby system and to establish
benchmarks for such ratios in metal-poor galaxies. We conducted pointed
observations of CS and its isotopologues toward N113, one of the most prominent
star-formation regions in the LMC, utilizing the Atacama Pathfinder EXperiment
12~m telescope. We present the first robust detection of C$^{33}$S in the LMC
by successfully identifying two C$^{33}$S transitions on a large scale of
$\sim$5 pc. Our measurements result in an accurate determination of the
$^{34}$S/$^{33}$S isotope ratio, which is 2.0$\pm$0.2. Our comparative analysis
indicates that the $^{32}$S/$^{33}$S and $^{34}$S/$^{33}$S isotope ratios are
about a factor of 2 lower in the LMC than in the Milky Way. Our findings
suggest that the low $^{34}$S/$^{33}$S isotope ratio in the LMC can be
attributed to a combination of the age effect, low metallicity, and star
formation history.
