  We construct novel scalarized black hole (BH) solutions beyond the general
relativity (GR) framework. These scalarized BH solutions are extended from the
Schwarzschild one and the non-Schwarzschild one in the pure Einstein-Weyl
gravity. By studying the BH entropy and free energy, we demonstrate that the
scalarized BH extending from the Schwarzschild one exhibits thermodynamically
preferred. We obtain these novel solutions by directly solving the full
fourth-order equations of motion. This narrows the problematic solution space
obtained by commonly adopted second-order reduction to physically valid spaces.
Our findings also unveil the evasion of the no-hair theorem within the realm of
higher-derivative gravity.
