I think (but am not sure) they were sold as “Tuya” devices. They are marked TT081 on the back. Inside they have a CR2302 cell. On the front of the device there is a tiny hole with an LED inside it. On the bottom is a slightly larger hole with a push button switch inside. If you push this the blue LED comes on.
Are these Wifi, or Zigbee, or Bluetooth, or something else? Can I use them in Home Assistant? If so, how?
Well, you could try to add them to the Tuya app. Probably start up your Tuya app, add device, add the gateway, then add device again, push the button and see what happens.