This log line stood out at me:
This is coming from the ESPHome APIConnection class here:
Looks to me like that block of code is executing when the ESPHome device doesn’t get a timely response from Home Assistant, then it runs some fatal error callback.
So that seems to indicate that ESPHome is aborting the connection intentionally bc HA can’t be reached. Then after a little while it repairs itself and re-connects. Not sure why.
The API connection handling and networking aspects on the Konnected devices are all handled by the underlying ESPHome framework, so I’m not directly familiar with that bit of code/logic.
It does not sound like a WiFi signal issue. Maybe a Home Assistant issue, or some other underlying network issue.
It may be helpful to see a longer log sequence from the device, which shows the initial connection, disconnect, and re-connect. It would also be interesting to see if your local client stays connected. You can stream the logs from a computer/laptop on the network, see here: Observability, logging and MQTT - #3 by nate