A beautiful question

Geometry Level pending

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

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