Hyperbolic groups with finitely presented subgroups not of Type $$F_3$$

We build on the constructions in Brady (J Lond Math Soc 60(2):461–480, 1999) and Lodha (A hyperbolic group with a finitely presented subgroup that is not of type FP3, London Mathematical Society Lecture Note Series, Cambridge University Press, Cambridge, pp 67–81, 2017) to give infinite families groups, each having $$F_3$$ . By calculating Euler characteristic groups constructed, we prove infinitely many them are pairwise non isomorphic. further show first these cannot be generalised dimensions higher than 3.