Cannot refer to self in icon template of trigger-based sensor

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When defining a new style template sensor, it isn’t possible to self reference the sensor in the icon template. A related issue referring to the old style has been logged and resolved before. By not allowing this, the only alternative is to create an intermediate helper sensor, which seems unnecessary.

I logged an issue before (58056), which was closed and locked. The solution suggested doesn’t work and causes an infinite loop. Thus, there is no way to have the icon template update based on the sensor’s own status change.

What I expected to work:

template:
  - trigger:
    - platform: event
      event_type: amcrest
      event_data:
        event: CallNoAnswered
        payload:
          action: Start
    binary_sensor:
      name: Doorbell Rang
      icon: "{{ 'mdi:bell-ring-outline' if is_state('binary_sensor.doorbell_rang', 'on') else 'mdi:bell-outline' }}"
      state: true
      auto_off: 5  # seconds

What was suggested, but causes an infinite loop:

- trigger:
  - platform: event
    event_type: amcrest
    event_data:
      event: CallNoAnswered
      payload:
        action: Start
  - platform: state
    entity_id: binary_sensor.doorbell_rang
    to: ~
  binary_sensor:
    name: Doorbell Rang
    # icon: mdi:bell-outline
    icon: "{{ 'mdi:bell-ring-outline' if is_state('binary_sensor.doorbell_rang', 'on') else 'mdi:bell-outline' }}"
    state: true
    auto_off: 5  # seconds

This is the current issue: Template loop detection breaks useful self references in templates · Issue #39932 · home-assistant/core (github.com).

I would really like to avoid having to create a template sensor from a template sensor.