Recent high angular resolution observations, including the ASHES project, indicate the important role of core growth. To understand the gas dynamics at the core scale in the very early stages of evolution and find more direct signs of the core growth process, I performed ALMA observations to one of the ASHES targets, G337.541-00.082, as part of the Global and Local infall in the ASHES sample (GLASHES) program. Using dense gas tracers, I find signs of infall from the position-velocity diagram and more directly from the blue asymmetry profile, in addition to the clump-scale velocity gradient, and estimate high infall velocity and mass infall rates. Such high infall rates in cores embedded in IRDCs can be considered as strong signs of core growth, allowing high-mass star formation from intermediate-mass cores that would not initially form high-mass stars at their current mass.