I hunted down a script to deal with adobe fonts after one-too-many painful sessions:
if you don’t want to deal with the command line the font files themselves are just hidden, renamed .OTFs that live in C:\Users\[user]\AppData\Roaming\Adobe\CoreSync\plugins\livetype\r
(on windows at least)
there’s an XML here that pairs those numbered files with the font’s metadata: C:\Users\[user]\AppData\Roaming\Adobe\CoreSync\plugins\livetype\c\entitlements.xml
if you search that XML for the typekit font you’re looking for, the <id>
tag above the font’s properties is the number its been given in that \r folder. Once you’ve found it you can just copy it out and add .otf to it and it should work as a font. (though for sanity you’ll probably want to rename it)