I said Cochrane said there's no proof of masks working because that's what Cochrane said.
No, Cochrane didn't say that. Cochrane published an article by a group of researchers who did a meta-analysis looking at mask-wearing and found it to be inconclusive.
Inasmuch as Cochrane did say anything, it would be the notable clarification they issued regarding this study to correct people like you making misleading claims: "It would be accurate to say that the review examined whether interventions to promote mask wearing help to slow the spread of respiratory viruses, and that the results were inconclusive."
Specifically, that the smeta-analysis published is stuck with the limitations of societal mask wearing. To be effective, mask wearing must be commonplace at a population level; and offers relatively little protection for lone individuals. (This was established theory long before covid.) Therefore, to carry out a meta-analysis of studies with low adherence will struggle to be able to address the effectiveness of masks.
Another way of thinking about it is that the more people like you and your EBM cult leaders attack mask usage and thus dissuade the public from using them, the more you ensure masks will not be useful and even make it harder for them to be evaluated in the manner you insist, thus creating a self-fulfilling prophecy. Which is bad public health policy and bad science.