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

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

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