Coordinate Geometry: JEE Main 2023 Mathematics question

Let O be the origin and OP and OQ be the tangents to the circle $x^2+y^2-6x+4y+8=0$ at the points P and Q on it. If the circumcircle of the triangle OPQ passes through the point $\left( {\alpha ,{1 \over 2}} \right)$, then a value of $\alpha$ is :