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We consider a deformation of the well-known stu model of $N=2$, $D=4$supergravity, characterized by a non-homogeneous special K\"{a}hler manifold,and by the smallest electric-magnetic duality Lie algebra consistent with itsupliftability to five dimensions. We explicitly solve the BPS attractorequations and construct static supersymmetric black holes with radial symmetry,in the context of $\text{U}(1)$ dyonic Fayet-Iliopoulos gauging, focussing onaxion-free solutions. Due to non-homogeneity of the scalar manifold, the modelevades the analysis recently given in the literature. The relevant physicalproperties of the resulting black hole solution are discussed.

BPS black holes in a non-homogeneous deformation of the stu model of $N=2$, $D=4$ gauged supergravity