Automation created through blueprint not showing up in Lovelace UI (again) automations page

Configuration Blueprints
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1

I have had this issue multiple times and usualy I can figure out why the automation does not show up in the UI while it is present in the automations.yaml, but I have no idea why this one is not showing up in the UI.

blueprint:
  name: Auto Backup
  description: Monthly auto backup
  domain: automation
  
  input:
    timeofday_entity:
      name: Time
      selector:
        time:
    dayofmonth_entity:
      name: Day of month
      selector:
        number:
          min: 0
          max: 31

variables:
  backup_filename: "Automated backup {{ now().strftime('%F') }}"

trigger:
  platform: time
  at: !input timeofday_entity

condition:
  condition: template
  value_template: "{{ now().day == !input dayofmonth_entity }}"

action:
  service: hassio.snapshot_full
  data:
    name: "{{ backup_filename }}"

mode: single

and the generated automation in automations.yaml

- id: '1637823246729'
  alias: Monthly Auto Backup
  description: ''
  use_blueprint:
    path: appels/AutoBackup.yaml
    input:
      time_entity: 01:00:00
      day_entity: 1
2

Solved it, needed to use a variable for the input

blueprint:
  name: Auto Backup
  description: Monthly auto backup
  domain: automation
  
  input:
    timeofday_entity:
      default: 01:00:00
      name: Time
      selector:
        time:
    dayofmonth_entity:
      name: Day of month
      default: 1
      selector:
        number:
          max: 31
          min: 1

variables:
  backup_filename: "Automated-Full-Backup-{{ now().strftime('%F') }}"
  dayofmonth: !input dayofmonth_entity

trigger:
  platform: time
  at: !input timeofday_entity

condition:
  condition: template
  value_template: "{ now().day == dayofmonth }"

action:
  service: hassio.backup_full
  data:
    name: "{{ backup_filename }}"

mode: single