@oskar h. 3 days spent on this, Apple have invested about 5 hours. Factory reset numerous times. Set up new home in HomeKit. Factory reset Apple TV. Finally managed to get some buttons showing. Couldn’t get them to work though. I love the idea of these buttons though the integration with HomeKit isn’t fit for purpose.

@oskar system details as follows………
iOS version 16.4.1
Apple TV OS 16.4.1 running on Apple TV 4K(A2843)
Flic hub firmware 3.0.12

@oskar Hi, that's correct, they are not appearing in any of the rooms

Same (very frustrating) problem here. I've just purchased a hub and buttons. I've added the flic hub, updated the firmware. Also updated the flic app. The flic hub is shown under Apple home as a hub. I've added a button to HomeKit (slider is across) and HomeKit actions are showing for Push, Double Push and Hold. However the button is not appearing in HomeKit. I've checked that it is not appearing in 'default room' as found by other users. I've removed the flic hub from HomeKit and reset with no joy.
I've contacted support though not had a response yet.
Any clues please?
So frustrating for a box fresh item!