Line queer cut earth cable wallbox

Hello together, I would like to install a wallbox in the outside area. I would like to use an existing wall entry to pull a new line out of the basement (distribution). There I would like to install a sub-distribution in the garden house, length until then approx. 15 meters, in order to connect there still amarkise and motor for gate entry. From the sub-distribution it is then again approx. 23 meters to Wallbox. The sub-distribution is of course also extra protected. Unfortunately, through the wall entry only a cable with 5x4qcm fits through. Of course I would prefer 5x6qcm. Question now, has this already been built with 4qcm line, when using an 11kw wallbox?