Alex's last smile seemed to contain a lot of things. There is relief, there is hope, there is regret, and there is apology. Everyone interprets different things from Alex's last look. The head of state knew that Alex was looking forward to leading human civilization to become stronger again, but it was regrettable that Alex could not see this scene himself. As for the apology... The head of state turned his head and looked at Sophia.
This apology is probably aimed at Sophia. After completing his duties and giving his life, Alex had no way to accompany Sophia again. Alex knew how much pain his departure would bring to Sophia, but Alex had no other choice. Alex can only do this.
" ..." Seeing Alex finally closing his eyes and no longer making a sound, seeing Alex's body still burning and eventually turning into a mass of coke, Sophia closed his eyes in pain.