This method
(list
(+ (nth 0 (cadr pt1)) (nth 0 (cdr (cadr pt2))))
(+ (nth 1 (cadr pt1)) (nth 1 (cdr (cadr pt2))))
(+ (nth 2 (cadr pt1)) (nth 2 (cdr (cadr pt2))))
)
Or
(setq x1 (nth 0 (cadr pt1)))
(setq y1 (nth 1 (cadr pt1)))
(setq z1 (nth 2 (cadr pt1)))
(setq x2 (nth 0 (cadr pt2)))
(setq y2 (nth 1 (cadr pt2)))
(setq z2 (nth 2 (cadr pt2)))
(list
(+ x1 x2)
(+ y1 y2)
(+ z3 z3)
)