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By using an effective Lagrangian approach, we evaluate the branching fractions of $\\Xi_b^-\\rightarrow P^\\Lambda_{\\psi s}(4338)K^-$ via the triangle loop mechanism. The branching fractions of $\\Xi_b^-\\rightarrow P^\\Lambda_{\\psi s}(4338)K^-$ are in the order of $10^{-4}$; the result is compared with our previous work of $\\Xi_b^-\\rightarrow P^\\Lambda_{\\psi s}(4459)K^-$. 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By using an effective Lagrangian approach, we evaluate the branching fractions of $\\Xi_b^-\\rightarrow P^\\Lambda_{\\psi s}(4338)K^-$ via the triangle loop mechanism. The branching fractions of $\\Xi_b^-\\rightarrow P^\\Lambda_{\\psi s}(4338)K^-$ are in the order of $10^{-4}$; the result is compared with our previous work of $\\Xi_b^-\\rightarrow P^\\Lambda_{\\psi s}(4459)K^-$. 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