Jezza34000/homeassistant_petkit — reverse-engineered prompt

Build me a Home Assistant integration for Petkit devices that feels as complete as the official app, but native inside Home Assistant. I want to be able to add my Petkit account, discover supported devices like feeders, fountains, litter boxes, air purifiers, and camera devices, then control them and see their status in one place.

It should let me do normal actions like manual feeding and changing settings, and also show useful history and live updates like food activity, water intake, litter box usage, device health, and alerts such as low food or filter reminders. If a device has a camera, I want live video in Home Assistant plus access to saved photos and videos in the media area. For fountains, support using another Petkit device as a Bluetooth relay if needed.

Please make it feel polished, reliable, and close to real time, including notifications and server push style updates. If there are existing setup docs or supported device notes online, check those and wire everything up properly.