Thermostat not Being Triggered by Device Tracker Group

1

I have an automation that is triggered by a device tracker group. The light.lr_light and group.lights below work, but the thermostat isn’t being triggered. How do I make it so when the group.tracker is not home, it will set the hvac mode to auto and when group.tracker is home it will set the hvac mode to cool? Thanks

- id: presence
  alias: Presence Detection
  trigger:
  - platform: state
    entity_id: group.tracker
  condition:
  - condition: template
    value_template: >
      {{ trigger.to_state.state in ['home','not_home'] and trigger.to_state.state != trigger.from_state.state }}
  action:
  - service: light.turn_{{ 'on' if is_state('group.tracker', 'home') else 'off' }}
    entity_id: light.lr_light
  - service: homeassistant.turn_{{ 'off' if is_state('group.tracker', 'not_home') }}
    entity_id: group.lights
  - service: climate.set_hvac_mode
    data_template: 
      entity_id: climate.hallway
      hvac_mode: >
        {% if is_state("group.tracker", "not_home") %}
          auto
        {% else %}
          cool
        {% endif %}