Non-maximal Anosov Representations from Surface Groups to SO₀(2,3)

We prove the representation given by a stable α₁-cyclic parabolic SO₀(2,3)-Higgs bundle through the non-Abelian Hodge correspondence is \α₂\-almost dominated. This is a generalization of Filip's result on weight $3$ variation of Hodge structures and answers a question asked by Collier, Tholozan and Toulisse.