Codex is good now. I’m undecided which is better, but they’re definitely close enough that I feel comfortable recommending Claude-exclusive people in my circle to try codex.
I believe Claude Code only works with claude and seems all I hear about that is it's great but the token limits are so anemic as to make it useless unless you want to shell out $200+ a month, which I do not so I haven't bothered.
I tried codex but it wouldn't run out-of-the-box. Installation on a fresh Windows box resulted in some obscure error which is a strong "this product isn't fully baked" signal.
Open code desktop thus far has been the only turn-key solution, worked right away on it's pickle model but was a real pain to hook to anything else. It exhibits a lot of the typical obtuse UX that open source projects end up with since open source tends to attract coders-developers more than UX/UI people. At least it does mention that it's still beta.
I use Claude Code with GLM 5.q, Kimi K2.6, MiniMax M2.7 and Xiaomi MiMo V2.5 Pro.