Non-Invertible Symmetries in Compactified Supergravities

We study the \textit{Kaluza--Klein} descent of non-invertible higher-form symmetry defects from eleven-dimensional Supergravity to Type IIA Supergravity. Starting from the eleven-dimensional construction of non-invertible Supergravity defects, we show that the full defect, including its auxiliary topological sector, admits a pushforward along the M-theory circle in the zero-mode Supergravity regime. The seven-dimensional \textit{Chern--Simons}-like auxiliary theory descends to a six-dimensional $BF$-type sector. We also show that the compactification of the eleven-dimensional \textit{Bianchi} sector splits into an invertible $H_{[3]}$-sector and a twisted non-invertible $\widetilde F_{[4]}$-sector, controlled by $d\widetilde F_{[4]}+H_{[3]}\wedge F_{[2]}=0$. The resulting Type IIA defect algebra contains both an invertible Picard subgroup and non-invertible $BF$-dressed defects, with charged probes identified through the standard M-theory/Type IIA brane dictionary.