A word W = γ(p, q) crosses wound k0. One parity split δ sends even cells to one lane and odd cells to the other. Nothing is factored afterwards: the same split feeds both the comultiplicative arm (μ∘δ = id) and the multiplicative arm (P·Q = N), and retrieval just reads the boundary marks.
Standing: the separation is leakless. Deriving a factor-bearing presentation from a bare N, with no classical search, is still open; this view shows what the membrane does with whatever presentation it is fed.