Thermostat cooking at high temperature

Hi there, I flashed an ESP12 with built in realy, wired a MAX6675 with a K-thermocouple.
I would like to make a thermostat for cooking stuff at high temperature: 160-300°C.
I made a slow PWM in Arduino (with a SSR) for a similar project, but I would like to start easy.

I managed to make a simple thermostat, but I can’t manage to build a control that goes over 30°C.
I tried this way: Thermostat Card min and max temp display - #4 by AhmadK
but without a success.

Any suggestion?

thanks

esphome:
  name: termostato
esp8266:
  board: esp01_1m

[..]
switch:
  - platform: gpio
    pin: 05 
    name: "termostato"
    id: "switch_termostato"
    
spi:
  miso_pin: 12
  clk_pin: 14

sensor:
  - platform: max6675
    name: "sondaKtermostato"
    id: sondak
    cs_pin: 13
    update_interval: 5s

climate:
  - platform: thermostat
    name: "Thermostat Climate Controller"
    sensor: sondak
    default_target_temperature_low: 180 °C
    set_point_minimum_differential: 1.5 °C
    min_heating_off_time: 2s
    min_heating_run_time: 2s
    min_idle_time: 5s
    heat_action:
      - switch.turn_on: switch_termostato
    idle_action:
      - switch.turn_off: switch_termostato

Update: managed to change the gauge temperature using the correct ID of the thermostat in the customize.yaml file.

climate.thermostat_climate_controller:
    max_temp: 350
    min_temp: 8

I then added the visual option in the firmware:

visual:
      min_temperature: 5 °C
      max_temperature: 400 °C
      temperature_step: 1 °C