Arithmeticity of the Kontsevich--Zorich monodromies of certain families of square-tiled surfaces II

In this note, we extend the scope of our previous work joint with Bonnafoux, Kattler, Niño, Sedano-Mendoza, Valdez and Weitze-Schmithüsen by showing the arithmeticity of the Kontsevich–Zorich monodromies of infinite families of square-tiled surfaces of genera four, five and six.