Upgrading from OS 12 Monteray to OS14 Sonoma - will my lightroom 5 still work

Suggest reading all the Adobe info regarding Lightroom and macOS 14 Sonoma

https://helpx.adobe.com/ca/lightroom-cc/kb/lightroom-and-macos-sonoma.html

Excerpt from above

Which versions of Lightroom are compatible with macOS Sonoma?

• Lightroom 7.x is compatible with macOS Sonoma (version 14)
• Lightroom 6.x and earlier versions have not been tested for compatibility with macOS Sonoma (version 14)

https://roaringapps.com

This website maybe a reasonable start to check if an Application maybe compatible.

Though, it is only a collection from users experiences.

It is not a definitive answer if a specific version of the application is compatible

https://roaringapps.com/app/adobe-photoshop-lightroom-5