Customize friendly name for element in group doesn't work

Installation Home Assistant OS
1

I have a nest temperature sensor, showing: “Living Room Thermostat temperature”
Only in a group called “climate” I want to change the friendly name.

Unfortunately in the group, the name does not change, but it shows up below in the folliwing card as some reference, which doesn’t look good.

homeassistant:
  customize:        !include customize.yaml
  customize_domain: !include customize_domain.yaml
  customize_glob:   !include customize_glob.yaml

customize.yaml file:

sensor.living_room_thermostat_temperature:
  friendly_name: Woonkamer
  group:
    group.klimaat:
      friendly_name: Woonkamer2

With the example above I would at least think it shows up as Woonkamer1.
And within the group it should be Woonkamer2.
Both don’t show up in the <> menu

Am I looking in the right direction?

2

unless things have changed you just need an entry in your customize.yaml that says

group.klimaat:
  friendly_name: Woonkamer2

Don’t nest it under anything