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A typical debate with a climate change denier...

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@MartinTheFirst says
i thought everyone had realized that climate change is a hoax by now

CO2 & methane are transparent to visible light but more opaque to infrared. The solar energy comes pouring in via the visible spectrum, but the heat can't leave so easily via the infrared spectrum due to that opacity. Kids' version:
https://www.sciencenewsforstudents.org/article/explainer-co2-and-other-greenhouse-gases
idealized quantitative model: https://www.climate-policy-watcher.org/coriolis-force/a-simple-mathematical-model-of-the-greenhouse-effect.html

With multiple data points we can solve for multiple variables simultaneously. Detailed climate models account for dozens of variables. They are verified and calibrated based on 800,000 years of prior climate data.
http://web.mit.edu/globalchange/www/climate.html

The climate data comes from bubbles in glacial ice, and is corroborated by data from lake & sea floor sediments.
https://icecores.org/about-ice-cores
CO2 & methane & temp data

Here's where the various data sets were collected:

The most salient thing about the 800,000 years of climate data is the rate of change during those previous 7 ice ages compared to the current rate of change this century.