@Jennifer, Thanks for posting in Q&A.
To deploy Adobe Reader via Intune, you need to find the silently install and uninstall command for this app. You can confirm this with Adobe Reader support. After that, you can deploy this app via Intune win32. Here is a related link for your reference:
Note: Non-Microsoft link, just for the reference.
To update the app, you can use Win32 Supersedence feature.
https://learn.microsoft.com/en-us/mem/intune/apps/apps-win32-add#step-6-supersedence
Hope the above information can help.
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