Special cycles for Shtukas are closed

In this paper we give a different proof of a theorem of Paul Breutmann: for a Bruhat-Tits group scheme $\mathcal{H}$ over a smooth projective curve $X$ and a closed embedding into another smooth affine group scheme $\mathcal{G}$, the induced map on the moduli of Shtukas $Sht^{r}{$\mathcal{H}$}\to Sht^{r}{$\mathcal{G}$}$ is schematic, finite and unramified. This result enables one to define special cycles on the moduli stack of Shtukas.