A beautiful question

A variable line ${ L }_{ r }$ is passing through $\left( 2,3 \right)$ and intersects the circle ${ x }^{ 2 }+{ y }^{ 2 }-7x-7y+22= 0$ at ${A}_{r}$ ,r=1,2,3,..., if the line perpendicular to ${ L }_{ r }$ and passing through ${A}_{r}$ also passes through a fixed point $\left( p,q \right)$ for all values r=1,2,3....,
Then p + q -3 is equal to