If by reasoning you mean showing CoT, Gemini and OA are the same in this regard - neither provides it, not through the UI nor through the API. The "summaries" both provide have zero value and should be treated as non-existent.

Anthropic exposes reasoning, which has become a big reason to use them for reasoning tasks over the other two despite their pricing. Rather ironic when the other two have been pushing reasoning much harder.

Works for me?

Maybe you’re thinking of deep research mode which is web UI only for now.