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For a twisted affine Lie superalgebra with nonzero odd part, we study {tightirreducible weight modules} with bounded weight multiplicities and show that ifthe action of nonzero real vectors of each affine component of the zero part isneither completely injective nor completely locally nilpotent, then thesemodules are parabolically induced.

Tight irreducible finite weight modules over twisted affine Lie superalgebras