Fix Lightroom Library Issue

I'm experiencing an issue with my Lightroom library after attempting to update to the new version on my Mac.

Current situation:
- The library shows as version 15.0.1, but I can only find version 13.5 or lower on Mac.
- I'm unsure if the library is corrupted or where it is located.

I'm looking for an experienced Lightroom and Mac user who can troubleshoot and resolve this issue. Ideal skills and experience include:
- Proficiency in Adobe Lightroom
- Experience with MacOS and software updates
- Ability to diagnose and fix library issues
- No error messages are being displayed

Please provide a brief overview of your approach and relevant experience.