Is Codex ok with any other third party applications, or just those?
Codex app-server is the interface Codex uses to power rich clients (for example, the Codex VS Code extension). Use it when you want a deep integration inside your own product.
It mentions 'Inside your own product', but not sure if that means also your own commercial application.But I believe OpenAI does let you use their subscription in third parties, so not an issue anyway.