Coordinate Geometry: JEE Main 2024 Mathematics question

Let $\mathrm{A}$ be the point of intersection of the lines $3 x+2 y=14,5 x-y=6$ and $\mathrm{B}$ be the point of intersection of the lines $4 x+3 y=8,6 x+y=5$. The distance of the point $P(5,-2)$ from the line $\mathrm{AB}$ is