Every launch creates 336 tons of CO2.
Yummy! That's just food for plants.
Well that is true, in the first instance, but if you start thinking it through there are challenges that cannot be ignored.
The crux you come to is this: Hihger CO2 is causing a warming effect. Not something which hasn't happened before mind. The equatorial deserts are expanding north and south. There are established concentrations of people living there who will face increased difficulties and what they currently grow there will start to fail.
The "Without adaption" premise used in most of the marketing for climate change can be seen "incorrect" with many prior permafrost areas in the north becoming farmable.
However, there are a large band of people in the middle who are not interested in moving north to make room for the people to the south.
The crops that grew in sub-saharan African will not grow in newly thawed Alaska. Large farming regions with specific soils and climates are shifting around and humanity doesn't have to tolerance to migration that it once had.
With total global adaption, yes, more CO2 = more plants = more green = more food. The world has already been "greening" constantly for quite a while due to higher temps and higher CO2. It's just not inline with our current agriculture and changing that will involve wars.