( Carbon Dioxide Absorbs and Re-emits Infrared Radiation - https://scied.ucar.edu/learning-zone/how-climate-works/carbo... )
You want science, testable and repeatable science?
Start with, say, Thermal Equilibrium of the Atmosphere with a Given Distribution of Relative Humidity (1967)
https://journals.ametsoc.org/view/journals/atsc/24/3/1520-04...
described as "the most influential studies of all time" ( https://www.carbonbrief.org/prof-john-mitchell-how-a-1967-st... )
There are others: https://www.carbonbrief.org/the-most-influential-climate-cha...
The real world physics of doubling a low CO2 concentration in representative air samples has been performed many a time .. it works as the cited paper says .. trapping more of heat energy radiated upwards by the land and sea that would otherwise diffuse outwards.