Looking For Data Sets Covering California Buildings And HVAC Systems

Hello, so I am working on a research project that is looking to understand the relationships between buildings in California and the unique locations and environments they are located in, specifically pertaining to which types of HVAC (heating, ventilation, and air conditioning) systems (e.g. air conditioner, heat pump, etc.) are in use. I am essentially trying to map a building footprint of California buildings with an attribute denoting the type of HVAC system attributed to each building. I would be mapping this data against a map of California using GIS software, on top of other data layers showing various demographic, economic, and environmental factors. Would anyone here perhaps know if such a data set exists and is available? This could be a shapefile with building geometry, or honestly just a file showing a specific HVAC system for a given building address. Or would anyone know how I could assemble such a data set? Any recommendations, guidance, or help would be much appreciated. Thank you!