LPTP1
Since the remote itself uses Bluetooth (i guess), make an WebSocket Server or so (would be easy with websocket since there is already an websocket server as far as I can tell from desktop app logs) baked into the controller that sends like a json packet with remote name (or id or sth) to identify your remote if you have multiple, and the new site number of the remote, I see this used in other smart home setups without apple homekit, like home assistant or an custom one.