Representation type of level 1 KLR algebras $R^{{\mathrm{\Lambda }}_k}(\beta )$ in type $C$

We determine the representation type for block algebras of the quiver Hecke algebras $R^{{\mathrm{\Lambda }}_k}(\beta )$ of type $C_{\mathrm{\ell }}^{(1)}$ for all $k$, generalising results of Ariki and Park for $\mathrm{\Lambda }={\mathrm{\Lambda }}_0$.