Could you provide detailed steps for calibrating a K-type thermocouple probe

I. Preparation Before Calibration Tool Confirmation: Prepare a contact-type standard thermometer with an accuracy of ±0.1℃, a 0.01-grade digital multimeter, a digital vernier caliper, high-temperature resistant gloves, and a USB flash drive with backup parameters. All measuring tools must be within their calibration validity period. Probe Status Verification: Confirm that the probe extension length is within the acceptable range, the temperature sensing contact is completely flush with the bottom of the temperature sensing hole, and the insulation resistance is measured with a multimeter to be ≥5MΩ. There should be no broken wires, green corrosion, or oxidation/deterioration of the thermocouple wire. Operating Stability: Ensure all heating channels in the hot runner are operating normally. Maintain the entire unit at room temperature for 2 hours to ensure uniform temperature distribution in the flow channel plate without localized temperature differences. Export the original calibration parameters of the temperature controller to a USB flash drive. II. Pre-calibration Pre-treatment Clean any residual carbon deposits and old silicone grease from the exposed section of the probe. Confirm that the ceramic insulation sleeve is undamaged and that the cold-end heat conduction path is completely blocked. Check that the thermocouple shielding wire is routed separately, away from high-voltage heating circuits, and that the shielding layer is reliably grounded at one end to eliminate electromagnetic interference risks. III. Three-Point Full-Condition Core Calibration 100℃ Low Temperature Calibration: Set the temperature controller to 100℃, start heating and hold for 1 hour. After the temperature has completely stabilized, use a standard thermometer to measure the actual temperature at the corresponding measuring point. Enter the measured value into the low-temperature calibration channel of the temperature controller to complete the first calibration point. 200℃ Medium Temperature Calibration: Increase the set temperature to 200℃, hold for 1.5 hours until the temperature is uniform and stable, and again use a standard thermometer to measure the actual temperature at the measuring point. Enter the measured value into the medium-temperature calibration channel to complete the second calibration point. 300℃ High Temperature Calibration: Increase the set temperature to the rated maximum operating temperature of the hot runner (typically 300℃), hold for 2 hours until the temperature has completely stabilized, measure the actual temperature, and enter it into the high-temperature calibration channel to complete the third calibration point. IV. Cold Junction Compensation Calibration: Measure the actual ambient temperature at the temperature controller's terminals using a thermometer. Set this value as the cold junction reference temperature to offset the systematic negative deviation caused by the cold junction thermal conductivity effect. Fine-tune the dedicated cold junction compensation offset coefficient until the temperature measurement deviation is stably controlled within ±0.3℃. V. Post-Calibration Verification and Recording: Run the entire channel continuously for 2 hours, monitoring the temperature measurement data throughout. Confirm that the temperature fluctuation at all measuring points is ≤±0.3℃, with no jumps or drifts. Record the three calibration parameters and the cold junction compensation coefficient completely in the equipment maintenance log. Export the new calibration parameter file and back it up locally. Recalibrate the temperature measurement accuracy 3 days later. If no deviation is reproduced, the calibration is considered fully qualified.