Main automation file. You need to create a counter helper called daily_automation_count

automation.track_automation_invocations.yaml

alias: Track Automation Invocations
description: Counts the number of automation invocations in a day
trigger:
  - platform: event
    event_type: automation_triggered
condition:
  - condition: not
    conditions:
      - condition: template
        value_template: |
          {{ trigger.event.data.entity_id in [
            'automation.track_automation_invocations'
          ] }}
        enabled: true
action:
  - service: counter.increment
    target:
      entity_id:
        - counter.daily_automation_count
    data: {}
mode: queued