We present ALMA [\ion{C}{1}]~– imaging of the central region of the Galaxy encompassing the circumnuclear disk (CND). The data reveal low-density (cm) molecular gas with inward motion, widespread both inside and outside the CND. The normalized [\ion{C}{1}] to CS~7–6 intensity difference decreases inwardly from ~pc to 1.7~pc and azimuthally along the CND’s rotation, likely tracing paths of low-density gas inflow. By projecting spaxels into orbital coordinates assuming a velocity field model, we identify four kinematic features: a pair of spiral outer streamers toward the CND, inner streamers extending to 0.5~pc from Sgr~A, an outer disk at –6~pc, and the rotating ring at ~pc. –– correlation between the inner streamers and H42 indicates gas supply to the mini-spiral through the western arc (WA) and northern arm (NA). The total inflowing mass is , 1.7 times the mass of the rotating ring. The identified flows can be organized into two main pathways connecting the CND exterior and interior: WA flow'' feeding the mini-spiral WA via the CND, and NA flow’’ bypassing the purely rotating orbit. The inflow rate along the former is approximately constant (0.1–0.16~), implying a CND dwelling time comparable to its orbital period and supporting the CND’s transient nature. We also identify two [\ion{C}{1}]-bright clumps (CBCs) lacking dense-gas counterparts near the contact point between the northern outer streamer and the CND. Apparently intact against tidal disruption despite subcritical densities, the CBCs may represent a chemically young phase shortly after formation in colliding flows.

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