>Oxford/AZ vaccine was funded by the university endowment
According to Wikipedia, that vaccine was developed with Venture Capital money from Oxford Sciences Innovation, Google Ventures, and Sequoia Capital, among others. However even if it was "public funding", that public funding is only possible due to the tax base created by the capital system the governments of the world tax to get their funding.
As to Cuba, I believe only 2 has passed Phase II Trials, and none are approved for international use by the World Health Organization. Time will tell if they are effective as they claim.
Cuba, which is as far away from capitalism as you can get these days, has created five different vaccines. And in any case it wasn't capitalism that created the popular vaccines... the mRNA vaccines build up on decades of public-funded research, the Oxford/AZ vaccine was funded by the university endowment IIRC.