Find the linear approximation to the equation $f(x, y) = 4\ln(x^3 - y)$ at the point $(4, 63, 0)$, and use it to approximate $f(4.1, 63.3)$
$f(4.1, 63.3) \approx 296$
Make sure your answer is accurate to at least three decimal places, or give an exact answer.