Dragonframe 5 works on macOS Ventura.

Dragonframe 4 will not be officially supported on macOS Ventura, although you may use it.
Here are the known issues for Dragonframe 4 with macOS Ventura:

• Printing the x-sheet to a PDF does not work. The ‘Save as PDF’ dialog opens and then disappears.
• Occasional hanging due to audio system changes.
• Occasional crashing due to camera/PTP system changes.