Air Quality Egg - Failed to Publish Heartbeat

@NT1 I have a new theory about your PM Egg's behavior, lets not worry about reloading software for the moment. Have you issued the command 'restore defaults' at some point? If not please do:

restore defaults
ssid your-network-ssid
pwd your-network-password
exit

After you do that, wait for it to connect to your network and get into operational mode. The first time it tries to publish heartbeat it will fail, don't worry about that. Then please restart it, and confirm that your Sampling settings indicate a sampling interval of 5 seconds, an averaging interval of 60 seconds, and a reporting interval of 60 seconds?