Coordinate Geometry: JEE Main 2023 Mathematics question

Let the centre of a circle C be $(\alpha, \beta)$ and its radius $r < 8$. Let $3 x+4 y=24$ and $3 x-4 y=32$ be two tangents and $4 x+3 y=1$ be a normal to C. Then $(\alpha-\beta+r)$ is equal to :