Hi Brandon,
Can I get you to try a couple of things to investigate this?
1. Have you previously installed any apps on the PWA / SharePoint farm? Bulk Publish or my Holiday Sync are a couple of other free apps that are available for PWA.
2. If you open Site Contents and locate the App tile there, does it open?
I have seen an issue where the ribbon icon fails to work due to caching issues, basically both the Internet Explorer cache and / or the SharePoint server cache caches the ribbon buttons and if you reinstall Bulk Edit it can take some time for that to update. Try item 2 above to confirm and try to clear your IE cache on your computer.
Also have a look at this: https://nearbaseline.com/2014/07/problems-installing-apps-in-sharepoint-farm/, in particular at the bottom where I have a few pointers about items to check in your farm when errors occur.
Regards,
Martin