The Balmer spectrum of a tame stack

Let $X$ be a quasi-compact algebraic stack with quasi-finite and separated diagonal. We classify the thick $\otimes$-ideals of ${\mathsf{D}}_{\mathrm{q}\mathrm{c}}(X{)}^c$. If $X$ is tame, then we also compute the Balmer spectrum of the $\otimes$-triangulated category of perfect complexes on $X$. In addition, if $X$ admits a coarse space $X_{\mathrm{c}\mathrm{s}}$, then we prove that the Balmer spectra of $X$ and $X_{\mathrm{c}\mathrm{s}}$ are naturally isomorphic.