Let \(f(x)=\frac{{2}^{x+2}+16}{{2}^{2x+1}+{2}^{x+4}+32}.\) Then the value of \(8\left(f\left(\frac{1}{15}\right)+\mathrm…

Let \(f(x)=\frac{{2}^{x+2}+16}{{2}^{2x+1}+{2}^{x+4}+32}.\) Then the value of \(8\left(f\left(\frac{1}{15}\right)+\mathrm{f}\left(\frac{2}{15}\right)+\ldots +f\left(\frac{59}{15}\right)\right)\) is equal to

[JEE Main 2025, 24 Jan (Shift 1)]