Is the roof vent made on waterproof coiled material or insulation board (insulation mortar)? How? Are the inverted roof and the vertical vent in the same position?

The vent hole is to let the steam entering the waterproof layer and insulation layer out, so whether it is upright or inverted, the vent hole is under these two layers. Above the steam barrier. I don't know what you mean by the exhaust layer, but it should be the layer between the gas barrier and the insulation layer or waterproof layer. Not all roofs have this kind of floor.