Let's go to HomeAssistant now.

First add this to configuration.yaml

climate:
  - platform: mqtt
    name: "Clim grand mur"
    unique_id: "clim_1"
    modes:
      - "off"
      - "heat"
      - "dry"
      - "cool"
#     - "auto"
    swing_modes:
      - "on"
      - "off"
    fan_modes:
      - "auto"
      - "high"
      - "medium"
      - "low"
      - "silent"
    power_command_topic: "device_7/cmnd/POWER"
    mode_command_topic: "device_7/cmnd/OPMODE"
    mode_state_topic: "device_7/STATE"
    mode_state_template: '{{ value_json.op_mode }}'
    temperature_command_topic: "device_7/cmnd/TEMP"
    temperature_state_topic: "device_7/STATE"
    temperature_state_template: '{{ value_json.temperature }}'
    fan_mode_command_topic: "device_7/cmnd/FAN"
    fan_mode_state_topic: "device_7/STATE"
    fan_mode_state_template: '{{ value_json.fan_speed }}'
    current_temperature_topic: "device_7/STATE"
    current_temperature_template: '{{ value_json.room_temp }}'
    swing_mode_command_topic: "device_7/cmnd/SWING"
    swing_mode_state_topic: "device_7/STATE"
    swing_mode_state_template: '{{ value_json.swing_mode }}'
    max_temp : 32
    min_temp : 16
    precision: 1.0
    availability_topic: "device_7/LWT"
    payload_available: "Online"
    payload_not_available: "Offline"

and the card setup :

type: custom:thermostat-card
entity: climate.clim_grand_mur
title: Clim grand mur
step: 1
no_card: false

Here the result :

HVAC OFF :

HVAC in COOL mode

HVAC mode list :