Differential sensitivity (solid lines) and 90% CL upper limits (dashed lines) for the stacking analysis of the plateau (red), flare (yellow), and prompt (green) catalog, assuming γ = 2. Curves are shown for the Northern (left) and Southern (right) Hemisphere, and for catalogs comprising all the GRBs (first row) or the subcatalogs of GRBs with measured redshift (second row). As a comparison, the shaded green region shows the 10-yr differential sensitivity calculated for IceCube-Gen2 (Clark 2021) as explained in the text.