A small surface \(\mathcal{S}\) is divided into three pieces of area 0.2. Estimate \(\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}\) if \(\mathbf{F}\) is a unit vector field making angles of \(85^{\circ}, 90^{\circ}\), and \(95^{\circ}\) with the normal at sample points in these three pieces.