More counterexamples to Lagrangian Poincaré recurrence in dimension four

In earlier work, we constructed counterexamples to Lagrangian Poincaré recurrence for many toric symplectic four manifolds. Here we provide a few more examples extending the family of counterexamples to include all non-monotone toric symplectic four manifolds. This work has been incorporated into arXiv:2506.23754v2 Section 3.3