Add Support for Update Entities in Home Assistant for Docker ESPHome Installations

[AndreiArdelean1]

Describe the problem you have/What new integration you would like

When using the ESPHome integration with Home Assistant in a Docker setup, the “update” entity is missing. This makes it difficult to manage and perform updates for ESPHome devices from within Home Assistant. I would like to request the addition of support for update entities in the ESPHome integration for Docker installations, similar to how the integration works with the ESPHome add-on.

Please describe your use case for this integration and alternatives you've tried:

In my current Docker-based Home Assistant + ESPHome setup, I have successfully integrated ESPHome devices but lack the capability to push updates to these devices directly from Home Assistant. I have verified that the integration is correctly configured and that the ESPHome devices are visible in Home Assistant.

Additional context

The absence of update entities in Docker-based setups limits the ease of managing ESPHome devices compared to Home Assistant’s add-on-based installations. Adding support for update entities would streamline the update process and provide a more consistent experience across different Home Assistant installation methods. This feature would greatly enhance usability for users running Home Assistant in Docker environments and improve overall device management.