I'm on Monterey 12.6.8 and I was able to open up Xcode 14.3 by having it in my application folder, then go in to the application and run this file in terminal:
/Applications/Xcode.app/Contents/MacOS/Xcode
I was able to build and test things on my iPhone running 16.5.1
Happy I managed without having to update to Ventura!