So, not only does 2019r1.1 work fine on Ventura 13,1, the IDE and built apps are not affected by this bug that crashes the IDE and built apps https://tracker.xojo.com/xojoinc/xojo/-/issues/71254 when you upgrade to Ventura 13.2 (a)
Install yes, Run: for Web yes, for Desktop no since Big Sur. There is some information about patching 2019r1.1 with a couple of files from 2019r3.2 somewhere that may help. I use only Web with 2019r1.1 so I’m not sure if this still applies to newer versions of macOS.