I finally succumbed and bought one of these small TV things in a recent AliExpress sale. Out of the box the closed-source firmware can show weather, clock and more. https://www.aliexpress.com/item/1005005132140010.html
Today I soldered some pin headers to it and flashed it with esphome, using some other's prior work. Now I can get it to show whatever. I'm aiming to have it show the temperature from the Bluetooth Govee temperature sensor in my study, but I'll probably come up with other things.


