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We apply the Taylor-Wiles-Kisin method over certain global function fields to construct a mod $p$ cycle map $\\overline{\\text{cyc}}$, from mod $p$ representations of $\\text{GL}_n (\\mathcal{O}_K)$ to the mod $p$ fibers of the framed universal deformation ring $R_{\\overline{\\rho}}^\\square$. This allows us to obtain a function field analog of the Breuil--M\\'ezard conjecture. 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We apply the Taylor-Wiles-Kisin method over certain global function fields to construct a mod $p$ cycle map $\\overline{\\text{cyc}}$, from mod $p$ representations of $\\text{GL}_n (\\mathcal{O}_K)$ to the mod $p$ fibers of the framed universal deformation ring $R_{\\overline{\\rho}}^\\square$. This allows us to obtain a function field analog of the Breuil--M\\'ezard conjecture. 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