I started using https://github.com/milisp/codexia/ (which is a desktop app or a web server) that wraps your regular codex-cli or Claude Code CLI. So you can see Codex/Claude threads in your web UI and access it remotely. I love it because you can do Web UI or terminal and all conversations are preserved.

Unfortunately it is pretty buggy, so I am maintaining a fork matching my personal needs with bugfixes and a few extra features.