How to get state from ESPHome to HA using a text_sensor -> input_text helper

I have a setup where i receive a hex string from a BLE device. The hex string aa:aa:aa:aa (12 times) i want to send to HA.

text_sensor:
  - platform: homeassistant
    id: ble_raw_reading
    name: Ble Raw Reading
    entity_id: input_text.ble_raw_reading 
    
  - platform: ble_client
    id: ${ble_id_prefix}_reading_data
    name: ${ble_name_prefix} reading data
    internal: true
    ble_client_id: ble_client_${ble_id_prefix}
    service_uuid: ${ble_recieve_service_uuid}
    characteristic_uuid: ${ble_recieve_characteristic_uuid}
    notify: true
    update_interval: never
    on_notify:
      then:
        lambda: |-
            auto tempvar = format_hex_pretty((uint8_t *) x.c_str(), x.size());
            ESP_LOGD("${blueriiot_id_prefix}", "%s", format_hex_pretty((uint8_t *) x.c_str(), x.size()).c_str());
            id(ble_raw_reading).publish_state(tempvar);


The log output on notify is this:

[21:22:55][V][ble_text_sensor:096]: [Ble reading data] ESP_GATTC_NOTIFY_EVT: handle=0x14, value=0x33
[21:22:55][V][text_sensor:016]: 'Ble reading data': Received new state 3\x9eama\x9d	
[21:22:55][D][text_sensor:067]: 'Ble reading data': Sending state '3\x9eama\x9d	'
[21:22:55][D][ble_client:153]: 33.9E.07.6D.07.9D.09.00.00.25.0E.15 (12)
[21:22:55][V][text_sensor:016]: 'Ble Raw Reading': Received new state 33.9E.07.6D.07.9D.09.00.00.25.0E.15 (12)
[21:22:55][D][text_sensor:067]: 'Ble Raw Reading': Sending state '33.9E.07.6D.07.9D.09.00.00.25.0E.15 (12)'
[21:22:55][VV][api.service:174]: send_text_sensor_state_response: TextSensorStateResponse {
  key: 2237994003
  state: '33.9E.07.6D.07.9D.09.00.00.25.0E.15 (12)'
  missing_state: NO
}

When I update the state of the input_text.ble_raw_reading using development tools the new state is received in ESPHome.

[21:33:17][VV][api.service:507]: on_home_assistant_state_response: HomeAssistantStateResponse {
  entity_id: 'input_text.ble_raw_reading'
  state: 'manual-update'
  attribute: ''
}
[21:33:17][D][homeassistant.text_sensor:017]: 'input_text.ble_raw_reading': Got state 'manual-update'
[21:33:17][V][text_sensor:016]: 'Ble Raw Reading': Received new state manual-update
[21:33:17][D][text_sensor:067]: 'Ble Raw Reading': Sending state 'manual-update'

The other way around i cannot get to work. I am missing something?
(also found a post that uses MQTT to send the state of the text_sensor to HA, that looks like a detour and i would like to avoid that if possible).

When i use the following config, HA creates a sensor.ble_raw_reading instead of a helper (input_text).

text_sensor:
  - platform: template
    id: ble_raw_reading
    name: Ble Raw Reading
    #entity_id: input_text.ble_raw_reading

How can i send the new state from ESPHome to HA using a text_sensor?

Not sure if this (official not officially yet released :shushing_face:) ble proxies could help with this? Finest esphome goodness :ok_hand: (probably needs ha 2022.9 to work)

Maybe by using an event?