chaniarts wrote:

pressure pump at the tank end of the pipe, so from the house, it looks
like a pressurized tank.

Little to no chance the tank is pressurized:

Presently, there is a chlorox bottle floating in the steel tank which is
roped to a red wooden block that moves up when the water level goes down
(and vice versa).

After reading several more posts is seems to be that this is a gravity
tank presumably on a hill, with a booster pump near the house.