KöMaL 2022 C1744

In a triangle $ABC$, $\angle CAB =45^{\circ}$ and $\angle ABC =60^{\circ}$. $D$ is a point of the line segment $AB$. The circumscribed circle of triangle $CAD$ passes through the orthocentre of triangle $ABC$. Without the use of trigonometry, find the exact value of the ratio $\frac{AD}{BD}$.