Pressure at the opening of tube in Siphon

Consider a siphon tube… Now consider the opening of the tube at the lower end. Isn’t the pressure at the mouth of the tube, at this lower end, something intermediate between $P_a$ and $P_a + rho gh$? ($h$ represents the difference in the height of the water surfaces in the two containers used). To ensure the flow of liquid in both the tube and the container in which it is dipped, shouldn’t this be the case? Because if it is equal to $P_a$, then the liquid in the container will not move and keep balance. If it is $P_a + rho gh$, then the liquid in the tube will not move. So shouldn’t it be something intermediate? But the book says that the pressure at this end is $P_a$. Is the book approximating the value?