After having Almira heartlessly taken from him, Lex had nothing more holding him up. He took Giselle to eat at Kenta's restaurant, ordering from the recovery menu. Although the food would not heal her immediately, its rejuvenating effects would last a long time, accelerating her recovery and preventing her from suffering any more injuries in the near future.
As for the system he'd been studying earlier? Well, he'd reached the limits of what he could learn from it without any major upgrades to his mind or spirit sense. Fortunately, he'd also concluded that the system wouldn't magically disappear, so he put it inside the museum in his apartment.
"If you want me to teleport somewhere else, you're going to have to bring me some material from that planet," Lex told Giselle as the two of them discussed their plan.