Update to 3.2.2 not working

Tried a few times today to update to 3.2.2 through the Plugins Page, the Updates Page, and by downloading from my account on the wp-staging site.

Every time I try from the Plugins or Updates page, it says it was successful and as soon as I navigate to the WP Staging Start page, the number of available updates goes back up and the WP Staging Start page still says I’m not updated. Looking at Plugin Editor, the files installing as an update through WordPress’s systems are still version 3.2.1.

The files that download from My Account on the Wp-Staging site are also 3.2.1 when I open them (and when the version comparison is shown in my wp-admin area when manually uploading the Zip file), despite the WP-Staging site having the 3.2.2 Changelog alongside the download link.