It is difficult to determine the exact number, or even a rough estimate of the number of rocket launches that would be required to destroy the ozone layer. However, it is known that rocket launches emit gases and particulates that damage the ozone layer, including reactive chlorine, black carbon, and nitrogen oxides. The current impact of rocket launches on the ozone layer is estimated to be small but has the potential to increase with the projected growth in the number of rocket launches expected in the next few decades. The impact of rocket launches on the ozone layer is a policy gap that needs to be filled to ensure sustainable growth of the rocket launch industry[1][2][3][4][5].
Citations:
[1] https://www.sciencedaily.com/releases/2023/02/230214154013.htm
[2] https://www.astronomy.com/space-exploration/a-rapidly-growing-rocket-industry-could-undo-decades-of-work-to-save-the-ozone-layer/
[3] https://research.noaa.gov/2022/06/21/projected-increase-in-space-travel-may-damage-ozone-layer/
[4] https://www.euronews.com/green/2023/02/06/space-race-rocket-launches-can-damage-the-ozone-layer-researchers-find
[5] https://www.space.com/rocket-launches-damage-ozone-climate