The most important thing in summer to feel comfortable is the dehumidification of the air. Even if it doesn't get a degree cooler, lower humidity makes everything more pleasant. If you want some comfort, I would always start with a classic air conditioner. In new buildings, often only one or two devices are enough, which constantly dehumidify the air at central (preferably high) locations and run at low power. Just like the heat pump of the heating system as well.
I would estimate the electricity consumption in a new building for an air conditioning unit (2.5 kW is enough if you run it continuously) at around €100 per year if the summers stay like this. So it doesn't get extremely expensive. Especially if you also have photovoltaics on the roof...
You can then support the whole thing well by cooling the heating surfaces.