8cm is only 3 inches, also I don't know why the tank bottom is allways quoted, practically speaking, its from the water level in the CWS cistern that should determine the minimum requirement so that might meet your requirements?.
A few other points, the T80SR (SR stands for silent running) is called the T90SR in this neck of the woods, I have a T80 which is a mains supplied shower so ensure that you are looking for a integrally pumped shower.
6MM2 cable will supply a 9.0kw shower so assuming a "average" showering temperature requirement of 40C, a 9.0kw shower will supply a flowrate of 3.8LPM from cold water supply of 6C in the very debths of winter, a more realistic cold mains of 10C will give result in a flowrate of 4.3LMM at 40C and at 15C will result in 5.2LPM.
A well known shower installer (> 1000 showers/annum) a contributor to our Boards.ie website has a very very low opinion of the pumped Mira Quiet (called, I think here), he said that after 3 attempts to re engineer a simple item like a water elbow that they still fail and start leaking and very frequently the pump/motor fails, he said he has rarely if ever had to replace the pump/motor in the Triton T90SR.
Yeah, unfortunately the shower and the CWS are on the same floor, and the bottom of the CWS is about 30cm below the top of the existing electric shower. Mira don't have a particularly good diagram to scale off, but it appears the inlet is slightly higher on the existing than the Triton - so potentially the unit would end up being even higher. I'm going to see if I have room to shift the CWS up a bit. Good point on it being the level of water within the cistern though, hmmm...
On the flow rates, I found the image below which aligns with your calculations. I am hoping that (aside from the pump) I should at least also get some benefit from the cold water tank (which is located in the spare room cupboard) being a little warmer than the incoming mains - especially during winter.