Multiple systems are common in field stars and the frequency is found to be higher in early evolutionary stages. Thus, the study of young multiple systems during the embedded stages is key to a comprehensive understanding of star formation. In particular, the way material accretes from the large-scale envelope into the inner region and how this flow interacts with the system physically and chemically has not been well characterized observationally to date. We conducted ALMA observations toward SVS13A targeting CH3CN and CH3-13-CN J=12-11 K-ladder line emission with a high spatial resolution of ~30 astronomical units (au) at a spectral resolution of ~0.08 km/s. We used local thermal equilibrium (LTE) radiative transfer models to fit the spectral features of the line emission. We found the two-layer LTE radiative model that includes dust absorption is essential to interpreting the CH3CN and CH3-13-CN line emission. We identified two major and four small kinematic components and derived their physical and chemical properties. We identified a possible infalling signature toward the bursting secondary source VLA4A, which may be fed by an infalling streamer from the large-scale envelope. The mechanical heating in the binary system, as well as the infalling shocked gas, are likely to play a role in the thermal structure of the protobinary system. By accumulating mass from the streamer, it is plausible that the system experienced a gravitationally unstable phase before the accretion outburst. Finally, the derived CH3CN/CH13-13-CN ratio is lower than the canonical ratio in the ISM and varies between VLA4A and VLA4B.
