You can’t template in lovelace fields. Make a script and call the script instead.
script:
set_hz_ankleidezimmer_group_temp:
sequence:
- service: climate.set_temperature
data_template:
entity_id: climate.hz_ankleidezimmer_group
temperature: >
{{ state_attr('climate.hz_ankleidezimmer_group', 'temperature') | float + 0.5 }}
Then in lovelace
type: button
tap_action:
action: call-service
service: script.set_hz_ankleidezimmer_group_temp
hold_action:
action: more-info
show_icon: true
show_name: true
entity: climate.hz_ankleidezimmer_group