Non-manifold Merge on perpendicular surfaces then Quad Mesh

Hi, I created a T section (two perpendicular surfaces) with non-manifold merge, then when I try to mesh it with quad mesh, the mesh would not be continuous from one surface to the other perpendicular surface, is there a way to have the two surface meshed continuously? TIA


20241006_102146.3dm (4.5 MB)

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