Show logbook for different entity after long press on button card?

TL;DR

  • When I long press on the Front Door button, I want it to show the logbook for binary_sensor.front_door.
  • The entity for the button card is the template sensor sensor.front_door_master_sensor.
  • The more-info for sensor.front_door_master_sensor is History, not Logbook.

Details:
Here is my card with door sensors. The outside doors have Yale locks on them, so they show the state of the lock via a template sensor. The interior doors just have a simple magnetic door sensor on them.

Here is a snippet of the YAML from the cards above:

  - type: horizontal-stack
    cards:
      - type: button
        tap_action:
          action: call-service
          service: script.turn_on
          service_data: {}
          target:
            entity_id: script.1642214952051
        hold_action:
          action: more-info
        entity: sensor.front_door_master_sensor
        name: Front Door
  - type: horizontal-stack
    cards:
      - type: button
        entity: binary_sensor.alexandra_door
        name: Kid 1
      - type: button
        entity: binary_sensor.ben_door
        name: Kid 2

Here is the template sensor for the outside doors that have the Yale locks and magnetic sensors.

#FRONT DOOR
  - platform: template
    sensors:
      front_door_master_sensor:
        value_template: >-
          {%- if is_state('binary_sensor.front_door', 'off') %}
            {%- if is_state('lock.front_door_lock', 'locked') %}
              Locked
            {%- else %}
              Unlocked
            {%- endif %}
          {%- else %}
            Open
          {%- endif %}
        icon_template: >-
                {%- if is_state('binary_sensor.front_door', 'off') %}
                  {%- if is_state('lock.front_door_lock', 'locked') %}
                    mdi:door-closed-lock
                  {%- else %}
                    mdi:door-closed
                  {%- endif %}
                {%- else %}
                  mdi:door-open
                {%- endif %}
        friendly_name: 'Front Door'

Here is the more info for the kid doors. Note it shows the Logbook.

Here is the more info for the outside doors. Note is does NOT show the Logbook.

If I go to the Logbook and click on binary_sensor.front_door, this is what I get. This is what I want to come up when I long press the Front Door button.

If I go to the Logbook and click on sensor.front_door_master_sensor, this is what I get.

So, how do I create a button card for entity A but then have the more-info for entity B show up with a long press?