Myths of Vaccine Manufacturing
blogs.sciencemag.org
blogs.sciencemag.org
(With an understanding that the best answer might just be "stay out of the way"...)
"That doesn’t mean that you can’t build more of the machines, but I would assume that Pfizer, BioNTech, Moderna (and CureVac as well) have largely taken up the production capacity for that sort of expansion as well."
The obvious question, then, is whether that production capacity could be increased, and whether we have a problem of throughput (which added resources might parallelize) or latency (and we will have all the devices we want, N months from now).
The lesson in all this is for each country to produce their own vaccines and create facilities within their own countries and avoid being in mercy of superpowers' self interests and punish companies that ignored them during times of great need.
A more appropriate title would be "let me show off what I know about mRNA vaccines".