Both the Lily Dam and The Attic are suite types able to accommodate four guests each at this property.
The Attic has old school wall radiators for heat and floor heating elsewhere IIRC. Won’t be needed on hot Wednesday and Thursday this week, and wouldn’t expect it to cool anything on those two hot days. The windows can be opened, and the rest of the week other than those two days should be cooler and mean that opening the windows work and would be useful if assigned.
Other than with the Story Malmö, I don’t recall seeing the other Story Hotels having a regular thermostat in the rooms. But I also wasn’t looking for that as much as looking for windows that open, since these hotels got in line to join Hyatt.