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Tangents drawn from the point \( P(2,3) \) to the circle \( x^{2}+y^{2}-8 x+6 y+1=0 \) touch the circle at the points \( A \) and \( B \). The circumcircle of the \( \triangle P A B \) cuts the director circle of ellipse \( \frac{(x+5)^{2}}{9}+\frac{(y-3)^{2}}{b^{2}}=1 \)
\( \mathrm{P} \)
W orthogonally. Find the value of \( b^{2} \).
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