Lead integrations page with HF-native coding agents, friendlier copy

[gary149]

didn't like the onboarding from the current one.

Refreshes the Inference Providers Integrations Overview page (/docs/inference-providers/integrations) to make it friendlier and lead with our coding agents.

Changes

• Reorder the overview table so the five HF-native coding agents come first, matching the sidebar order: Pi, OpenCode, Codex, Claude Code, Hermes Agent. The rest follow.
• Rename HF docs resource links to Getting started so it's obvious they're setup guides, not generic docs. External Official docs links are unchanged.
• Rewrite the intro for the agent era (leads with coding agents like Claude Code, Codex, OpenCode).
• Move the OpenAI-compatibility note off the top into a closing "Don't See Your Tool?" section, where people look after scanning the list.

Also mirrors the new lead order at the top of the Developer Tools category list.

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Note

Low Risk
Documentation-only edits to link labels, ordering, and prose with no runtime or API impact.

Overview
Refreshes the Integrations Overview page so it reads for the coding-agent workflow and surfaces HF setup guides more clearly.

The intro now leads with coding agents (Claude Code, Codex, OpenCode) and BYO HF token, instead of generic ecosystem copy plus an upfront OpenAI-compat note. That compat guidance moves to a new Don't See Your Tool? section at the bottom.

The overview table and Developer Tools list are reordered so Pi, OpenCode, Codex, Claude Code, and Hermes Agent appear first (aligned with sidebar). Internal resource links labeled HF docs are renamed to Getting started; third-party Official docs links are unchanged. Several entries drop dual Official/HF link pairs in favor of a single Getting started link where HF owns the guide.

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[HuggingFaceDocBuilderDev]

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