Broken links to "Recently Added" and "Continue Watching"

True. If you want to track this, keep an eye on updates of Plex Web. A fix will only show in Plex for Windows after it’s been fixed in Plex Web and that version of Plex Web finds its way into the Plex for Windows app.

Based on the release announcements for Plex for Windows, the bundled version of Plex Web is currently version 4.71.0 and was updated in the app as part of release 1.39.0 in December 2021.