Document ChatGPT Subscription provider (#56828)

## Summary

- Document the new ChatGPT Subscription provider from #53166
- Add to the LLM Providers page alphabetically between Anthropic and
DeepSeek
- Cover sign-in flow, available models (GPT-5.5, GPT-5.3 Codex), and
sign-out

## Test plan

- [ ] Verify section renders correctly in docs preview
- [ ] Confirm links and anchors work

Release Notes:

- N/A
c7110bda82morgankrey committed on 5/15/2026, 5:57:59 PM· committed by GitHubparent33c5ce6
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