Doesn't really apply to your setup, but I just got a u-shaped window AC from midea and it works well with home assistant. I didn't expect it, but it also has an outside temp sensor I can read. I've been graphing outside temp all summer. Purple is the AC, blue is openweathermap. Ignore humidity, that is for a tropical/moss tank.
They have an indoor unit with the same wifi capability, linky so that one might work.
EDIT: you're right, Midea compatibility isn't standard in home assistant, nor advertised , but I added it with a custom integration. It's been working great this summer.