^\beta$, let $t'_s=\bigcup_{\alpha<\beta}t_{s{\mathord{\upharpoonright}}\alpha}$. Let $t_s\supsetneq t'_s$ be such that $[t_s]\cap G_\beta={\varnothing}$. Finally, let $$T=\bigcup_{\alpha<\kappa}\{t\in 