What are the types of buildings designated for unlawful acts, which are forbidden to be air-conditioned, and the types of buildings where unlawful things may be displayed but are not designated for such, and which may be air-conditioned under certain conditions?

The question is incomplete, and identifying designated areas for the Ihram (definition) and non-designated ones does not require a Mufti (definition). Rather, it depends on knowing the reality of those places, and this is not within the Mufti's specialization, because the jurist's task is to clarify what Allah has made lawful and unlawful, whereas the assessment of sensory and customary matters is left to those who are experts in them.