  We investigate the four-derivative free Weyl action for two-column
mixed-symmetry field that makes use of maximal gauge symmetries. In flat space,
the action can be uniquely determined from gauge and Weyl (trace shift)
symmetry requirements. We show that there is a smooth and unique deformation of
the flat action to (A)dS which keeps the same amount of gauge symmetries. This
action admits a factorization into two distinct two-derivative actions having
gauge parameters of different Young diagrams. Hence, this factorization pattern
naturally extends that of the Weyl actions of symmetric higher spin fields to
mixed-symmetry cases. The mass-deformation for these actions can be realized
preserving one of the gauge symmetries. Although generically non-unitary, in
special dimensions, unitarity is achieved selecting different mass deformations
for dS and AdS. We consider particular examples of our construction such as New
Massive Gravity in three dimensions, linearized bigravity in four dimensions
and their arbitrary dimensional generalizations.
