How awesome it was to discover this project a month or so ago! As with all my "IoT" appliances, I do not trust allowing open internet access (as well as amongst each other on the local network). As such, I keep all untrusted devices on a separate VLAN, only allowing prescribed communication. I've tried many times to reach out to La Marzocco for which hostnames on which ports are necessary for, say, firmware updates. But they either send back very vague information or completely ghost me. So I've had to discover which IPs/ports my GS3 tries to talk to, and briefly open those up so as to get firmware updates.
When I set this up in my HA, I was delighted to be able to control my GS3 over Bluetooth. But with the machine's internet access cut off, that eventually stopped working. I just now briefly allowed it to talk to the IPs it wanted to for NTP 123, MQTT 8883, and 80/443, and then this integration suddenly started working again.
If all I can get is remote power control of my GS3, I'll be happy. I don't even care that the ESP32 they're using in it can't keep track of time without its own RTC: HA knows what time it is and can turn the machine on/off.
If there are any details I can gather or things to try, I'm happy to.