Window installation - faulty sealing tape or wait?

Pictures 1 to 3 show the current sealing. That's how it has to be.

On the inside of my windows, there is a black adhesive tape with a fabric-like surface. Underneath, if I understand correctly, there is construction foam that can partly be felt through the tape.

An exterior sealing with mounting tape and an interior sealing with mounting foam is also in accordance with the Energy Saving Ordinance.

What is the function of the black adhesive tape with the fabric-like surface? It partly peels off at the outer edge of the tape (in this case the lowest point in the living space). The plasterer mounts his moldings over it anyway, right?

DThe requirement "more airtight inside than outside" is fulfilled by a three-layer construction of the window connection joint. The outer layer should be driving rain-tight and vapor permeable to protect the joint from penetrating rain while allowing any existing moisture to escape. The middle layer should provide thermal and sound insulation, and the inner layer must meet the energy-saving ordinance requirement for airtightness.

So for me, the black tape served the function of preventing visibility of what was underneath, namely expanding foam. Expanding foam is not airtight and, in my opinion, should only be used as insulation in the middle layer.

So regarding the sealing, our architect basically told us on site (when we had "complained" a bit about the poor execution of the adhesive tapes): There are several ways to achieve the goal. There is not just "the one right way."

With us, it is similar. The tape on the outside is certainly justified; it just has to ensure permanent! driving rain tightness. If it is currently coming off the masonry a bit, that seems to be normal. Before plastering, it will definitely be pressed on, then a mesh corner will be applied, and then it will be plastered (at least that’s how I understood it).

The middle can certainly be filled with foam (as insulation), it is nicer (as done with our doors) to have a frame-wide compressible tape which then also performs the inner sealing (airtightness or separation between the indoor and outdoor climate) as an additional function for insulation.

Inside, suitable sealing tape can also be used. This can be glued onto the frame beforehand, then the window installed, tape folded over, glued on inside and outside (as with us). Or one glues sealing tape onto! the frame afterwards (after insulation has been installed inside). Here you obviously have to work carefully so that the reveal can be worked on correctly without the sealing tape being visible. I assume that is the only way to rework at our place without removing the windows again (and that certainly will not happen, as even I consider that disproportionate).

I hope I have understood and conveyed everything correctly. The drawing below at least shows the rough (correct) scheme.