On the anti-canonical geometry of weak $\mathbb{Q}$-Fano threefolds, III

For a terminal weak $\mathbb{Q}$-Fano $3$-fold $X$, we show that the $m$-th anti-canonical map defined by $\mathrm{\mid }-m{K}_X\mathrm{\mid }$ is birational for all $m\ge 59$.