You could lower the bucket to boil the seal container.

I do have trouble imagining two containers with two different pressures but I get you can have a pressure valve like in a refrigeration system.

The pressure on the seal container would seem to be the same pressure as the phase changes. The container in the video was crushed by the atmosphere so that implies the pressure is lower than atmosphere post phase change.

But there seems be an issue once the water has became vapor like would the boiling point move enough so that the water would condensate and would condensation reduce the pressure thus lowering the pressure and boiling point.

There would be water in both the containers and tube. Seems strange that water in the tube at the vapor/liquid barrier would evaporator then condense in what’s essential a similar environment. Its possible when I think about it just the seal container water can evaporate and go back into the tube

I can’t really do calculations because I don’t know the process yet, but I think boiling water would be more energy than lifting water 34 feet since water heat capacity is so high.

Right now I do think the flaw would be it being a slow process or even inefficient