How can I protect my 4x4m wooden deck from the sun and add greenery?

How about a combination of carport with pergola. So to speak, simply mirrored with a shared roof which you could, for example, still cover properly with photovoltaics. On the side and towards the street, you can still add greenery.

Good idea , I thought the same for a few seconds too ;). But unfortunately, I am not allowed to place a carport so close to the front boundary. Otherwise, I would have liked to have my parking space partially covered...