IMAS 2023–2024 Junior Division — First Round Question 20

Let $ABC$ be an acute triangle with circumcentre $O$ and $\angle ACB=60^\circ$. If $AO$ intersects $BC$ at point $X$, $BO$ intersects $AC$ at point $Y$ and $XY=7$ cm, what is the length, in cm, of $AY+BX$?