Some deviantART users disable the download feature for their posts, so the best versions available are the smaller .jpeg previews hosted on the wixmp.com domain. However, post #1125713 (whose source is a download-disabled deviantART post) has a link to a .png of the same dimensions as the .jpeg preview, which is hosted on the img02.deviantart.net domain.
post #1125713
This link is not available anywhere on the deviantART page of the picture or even in the page source. Obviously, .png files are better, so it is important to know how the uploader got this link. The FurAffinity mirror isn't any help because its full size image is even smaller than the deviantART version's preview due to their 2048x2048 image dimensions limit.
TL;DR is there a reliable method for getting the img02.deviantart.net domain for download-disabled dA posts so that we can have .png's instead of .jpeg's? Or at least, how did the uploader get the img02.deviantart.net link for this particular image?
Updated