docs: Update supported agents (agentclientprotocol#59)

* Add new agents

* Add link

* Fix wording

* Fix link

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Co-authored-by: morgankrey <morgan@zed.dev>

Author: 2 people

docs/overview/introduction.mdx

@@ -37,4 +37,6 @@ The default format for user-readable text is Markdown, which allows enough flexi
 ## Supported Agents
 
 - [Gemini](https://github.com/google-gemini/gemini-cli)
-- ... more coming soon ;)
+- [Claude Code](https://docs.anthropic.com/en/docs/claude-code/overview)
+  - [via Zed's SDK adapter](https://github.com/zed-industries/claude-code-acp)
+  - [via Xuanwo's SDK adapter](https://github.com/Xuanwo/acp-claude-code)