Thank you for your efforts! I hope that can build soon working app for our customer on Xcode 13.
About problem…
I am not capable to decide where problem might be but I see no complains at plugin page about Xcode 14 problems. Could you describe issue at GitHub - dpa99c/cordova-plugin-firebasex: Cordova plugin for Google Firebase so that they can search for solution?
I see also two another tickets at this forum, and both are related to the push notifications and firebase. Maybe the same problem?: