How does the flame (ground) ignore IR photons sent from the ice cube (CO2). A related question: what impact does the earth have on the sun’s temperature? You may say none since the sun is much hotter. That’s almost correct, there’s almost no impact. But it is not zero.
The Earth is the ice cube. The sun is the flame. The sun is heating the Earth. The Earth is cooling the sun. Although it is more or less insignificant. Put some food under an infrared warming light. Is the food making the infrared bulb hotter ?