uf_lamp.yaml

input_number:
  on_minutes:
    min: 0
    max: 10000000000
    step: 1
    mode: box

automation:
  - alias: Record uf lamp work time
    trigger:
      platform: time_pattern
      minutes: "/1"
    condition:
      condition: state
      entity_id: switch.uf_lamp
      state: 'on'
    action:
      service: input_number.set_value
      data_template:
        entity_id: input_number.on_minutes
        value: "{{ states('input_number.on_minutes') | int + 1 }}"