A monochromatic light ray traveling horizontally in air (\(n_{\text{air}} = 1.00\)) strikes the vertical face of a right-triangular glass prism (\(n_{\text{glass}} = 1.50\)) at normal incidence. The apex angle at the top of the prism is \(\theta = 45^\circ\). The slanted hypotenuse face of the prism is coated with a uniform thin layer of transparent liquid (\(n_{\text{liquid}} = 1.20\)), which is exposed to air on its outer surface. Which of the following correctly claims whether total internal reflection (TIR) occurs as the light ray reaches these interfaces, and provides the correct physical reasoning?