If \(f(x)=\frac{4 x+3}{6 x-4}, x \neq \frac{2}{3}\) and \((f \circ f)(x)=g(x)\), where \(g: R -\left\{\frac{2}{3}\right\…

If \(f(x)=\frac{4 x+3}{6 x-4}, x \neq \frac{2}{3}\) and \((f \circ f)(x)=g(x)\), where \(g: R -\left\{\frac{2}{3}\right\} \rightarrow R -\left\{\frac{2}{3}\right\}\), then \((g \circ g \circ g)(4)\) is equal to:

[JEE Main 2024, 31 Jan (Shift 1)]