Adobe Reader

The current version of Adobe Reader DC works on my Monterey 12.6.5 installation when either I select a PDF and right-click on it to open in Adobe Reader DC, or I launch Adobe Reader DC and use its File chooser to select a PDF. I do not have this application configured to open PDFs by default by double-clicking on them.

Make sure you have the latest version.

https://get.adobe.com/reader/

Quite the coincidence. Works on mine also. 😎