MathNet 2023-part-04 — 191 problems (EN–VI) Question 59

In acute-angled triangle $ABC$ with $|BC| \lt |BA|$, point $N$ is the midpoint of $AC$. The circle with diameter $AB$ intersects the bisector of $\angle B$ in two points: $B$ and $X$.
Prove that $XN$ is parallel to $BC$.