[Inference Providers] update extension in Claude Code integration guide

[hanouticelina]

Related: https://huggingface.slack.com/archives/C089DMDB415/p1782162114840509?thread_ts=1781766018.178629&cid=C089DMDB415

Updates the Claude Code integration page to install the extension via hf extensions install hf-claude instead of the personal namespace hanouticelina/hf-claude.

• Install command → hf extensions install hf-claude
• Repo links now point to the official huggingface/hf-claude

---

Note

Low Risk
Documentation-only updates to install commands and GitHub URLs; no runtime or API behavior changes.

Overview
The Claude Code integration doc now points users at the official hf-claude extension under the Hugging Face org instead of a personal GitHub namespace.

Install instructions use hf extensions install hf-claude, and links to the extension repo are updated to huggingface/hf-claude.

^{Reviewed by Cursor Bugbot for commit 3211ce1. Configure here.}

[HuggingFaceDocBuilderDev]

The docs for this PR live here. All of your documentation changes will be reflected on that endpoint. The docs are available until 30 days after the last update.