The finite symmetries of a fermionic QFT in 2+1d is given by a fusion 2-category. I will explain how the symmetry can be modified when one allows for stacking with TQFTs of the form Spin(n)_1, and then condensing, to be an equivalence relation for QFTs. Such an equivalence relation enables a finite set of inequivalent modifications to the original fusion 2-categorical symmetry. This shows that the question of what is the categorical symmetry for a QFT is one that depends on an equivalence condition. I will relate the order of the symmetry modifications to the image of a map between groups of minimal nondegenerate extensions, and to the tangential structure set by the initial categorical symmetry on the background manifold for the QFT.
