core: ESPHome - Sensor value is shown as Unavailable after several minutes of deep sleep

This issue is waiting for the following issue to be resolved

https://github.com/esphome/issues/issues/4794

The problem

I have a node (ESP8266) which reports a voltage value (adc sensor) and then goes into deep sleep for about 1h, and again… When I added such a sensor to dashboards its value is presented as Unavailable after a few minutes when the node is asleep.

Version of esphome at the node: 2023.7.1

What version of Home Assistant Core has the issue?

2023.8.1

What was the last working version of Home Assistant Core?

No response

What type of installation are you running?

Home Assistant OS

Integration causing the issue

esphome

Link to integration documentation on our website

https://www.home-assistant.io/integrations/esphome/

Diagnostics information

No response

Example YAML snippet

Part of node configuration:

deep_sleep:
  id: deep_sleep_id
  sleep_duration: 60s
   
sensor:
  - platform: adc
    id: adc_sensor
    pin: A0
    name: "Car Voltage"
    update_interval: 60000s     
    filters:
     - multiply: 14.02
  - platform: homeassistant
    name: "Deep Sleep Duration"
    id: deep_sleep_time
    entity_id: input_number.carvoltage_deep_sleep_time
    on_value:
      then:
        - logger.log:
            format: "Received deep sleep duration"
        - lambda: 'id(adc_sensor).update();'  
        - if:
            condition: 
              lambda: 'return id(deep_sleep_time).state>0;' 
            then:
              - deep_sleep.enter:
                  id: deep_sleep_id
                  sleep_duration: !lambda |-
                    return id(deep_sleep_time).state * 1000;
  - platform: uptime
    id: uptime_sensor
    name: Uptime Sensor
    internal: True
    on_value:
      then:
        - if:
            condition:            
              lambda: 'return id(uptime_sensor).state>=180 && !id(wifi_id).is_connected();'
            then:
              - deep_sleep.enter:
                  id: deep_sleep_id
                  sleep_duration: 3600s

Anything in the logs that might be useful for us?

No response

Additional information

No response