Central ventilation system in the basement. Where are the supply air and exhaust air?

Hello everyone. We plan to build a one-and-a-half-story building. A technical shaft is planned, but it only goes from the basement to the floor of the upper floor. We originally planned without a ventilation system but now want to install one after all. However, the whole thing should be done by ourselves. I am a bit uncertain about the best way to realize supply air and exhaust air. I would like to plan a brine-air heat exchanger in front of the supply air to pre-cool the air in summer and especially to dehumidify it. Therefore, it is probably sensible to plan the entire system in the basement together with the heating. I then see the supply air either only as a "strange tower in the garden" (then rather in the south) as possible, or as a longer pipe running around the building and then "somehow" sucking in the air above the bicycle garage. Or through the technical shaft and then sucking in the air north under the gable. But then the entire air is transported across the house before it goes through the heat exchanger, and moreover, such a long pipe probably requires an appropriate diameter, making it difficult to pass through the technical shaft. I have attached the floor plans. How would you plan the supply air and exhaust air? Or would you perhaps not plan the system in the basement after all? Because of the shallow roof (25°), we have a very low attic (~1m) that we will not use. Similar applies to the photovoltaic system. Here I am considering whether to mount the inverter on the facade above the bicycle garage, so that all the DC cables run outside the building and I do not have the ~400W heating load in the basement during summer.