It’s interesting that reference 2 in your post contains a link to a paper that provides a level of evidence that goes beyond what you allow for - https://www.authorea.com/doi/full/10.22541/au.158809415.52483068
So far as I can see from a quick look, that paper claims that the studies to which it is referrring are flawed because they look at whether masks protect the wearer when it should be whether they protect others in the community.
It seems to ignore the most obvious point here - whether they protect the wearer from catching it, or help prevent them from spreading it, the result should be the same if masks are effective - namely a decrease in case numbers where masks are worn in public settings. I have not seen any evidence that this has happened anywhere.
Statements such as
Mathematical modelling suggests that a mask that is 60% effective at blocking viral transmission and is worn by 60% of the population will reduce R0 to below 1.0
As noted above, if 60% of people wear a mask that is 60% effective, this is likely to be sufficient to substantially reduce the transmission of Sars-CoV-2.
do not appear to be backed up by statistics from any country - if masks were effective, even at a considerably lower percentage than that, it would be observeable in the stats, which isn't the case.