Thanks @Emil, I factory resetted my flic (before i was holding for 20 sec) and unplugged - plugged it and now I had the pairing pop up again and I got it to work this time!
So cool to have buttons with automations

I just got my flic hub and tried to add some buttons to my home app.
Upon initializing the home kit integration via the flic app, the app tried to create a new bridge and was infinitely loading.
I closed the app and opened it again to restart the pairing but now the "add to homekit" switch is not creating anything on the home app and not proposing me to initialize the home kit like before.
I checked on the home app, and I still don't have the flic bridge there.

What should I do? I tried a full reset of the hub, but that still doesn't reset the homekit connection to start the pairing again.