A circle with centre \((2,3)\) and radius 4 intersects the line \(x+y=3\) at the points \(P\) and \(Q\). If the tangents…

A circle with centre \((2,3)\) and radius 4 intersects the line \(x+y=3\) at the points \(P\) and \(Q\). If the tangents at \(P\) and \(Q\) intersect at the point \(S(\alpha, \beta)\), then \(4 \alpha-7 \beta\) is equal to

[JEE Main 2023, 29 Jan (Shift 2)]