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For a closed and orientable surface of genus at least 2, we prove the surfacegroup extensions of the stabilizers of multicurves are hierarchicallyhyperbolic groups. This answers a question of Durham, Dowdall, Leininger, andSisto. We also include an appendix that employs work of Charney, Cordes, andSisto to characterize the Morse boundaries of hierarchically hyperbolic groupswhose largest acylindrical action on a hyperbolic space is on a quasi-tree.

Extensions of multicurve stabilizers are hierarchically hyperbolic