Nate was devastated, and that was exactly the effect Gao Yang wanted.
Gao Yang genuinely did not want to become mortal enemies with the Angel Mercenary Corps in the future. Nate was a madman, but he wasn't crazy himself; he had to avoid being dragged down by the lunatics of the Angel Mercenary Corps, which was why he told Nate that most of the Satan Mercenary Corps members were rookies, to utterly eliminate the Angels' interest in a fight to the death with the Satan Mercenary Corps.
Nate left with the members of the Angel Mercenary Corps, vanishing in the blink of an eye.
The Angel Mercenary Corps certainly had its own channels for retreat, and Gao Yang had never intended to leave with Nate, though he felt a twinge of regret at not having been able to enjoy Nate's coffee.
Walking out of the conference room leisurely, Frey immediately sidled up to Gao Yang, wearing a triumphant expression, "Boss, seeing Nate's face turn sour is truly satisfying."