Loxodromic elements in big mapping class groups via the Hooper–Thurston–Veech construction

Let $S$ be an infinite-type surface and $p\in S$. We show that the Thurston-Veech construction for pseudo-Anosov elements, adapted surfaces, produces infinitely many loxodromic elements action of $Mod(S;p)$ on loop graph $L(S;p)$ do not leave any finite-type subsurface $S'\subset S$ invariant. Moreover, in language Bavard-Walker, Thurston-Veech's weight. As a consequence Bavard Walker's work, subgroup containing two "Thurston-Veech loxodromics" different weight has infinite-dimensional space non-trivial quasimorphisms.