feat(setup): support CodeBuddy as a setup client (#2492)

Register rea in the global ~/.codebuddy/mcp.json through a new codebuddy
entry in SUPPORTED_CLIENT_DEFINITIONS (json dialect, ~/.codebuddy marker,
~/.codebuddy/skills skill directory). Document the client and cover
registration and uninstall with boundary tests. Loading, the bundled
skill, and real REA tool calls were verified in the CodeBuddy client.

docs/client-configuration.md

@@ -663,6 +663,18 @@ The user-level MCP paths follow the editor's VS Code layout. Trae's official
 documentation describes the raw JSON editor without specifying those paths;
 loading this registration in Trae remains unverified.
 
+## CodeBuddy
+
+For CodeBuddy, setup writes `mcpServers.rea` into the global
+`~/.codebuddy/mcp.json` (a standard `mcpServers` JSON file at the user home
+root on every platform). Entries carry `command`, `args`, and `env`; stdio is
+the default transport. CodeBuddy discovers personal skills from
+`~/.codebuddy/skills`, so setup installs its skill copy there.
+
+The global MCP path is a plain JSON file; setup preserves every other server
+and top-level key when it upserts `rea`. Loading this registration, the
+bundled skill, and real REA tool calls through CodeBuddy are verified.
+
 ## WorkBuddy
 
 For [WorkBuddy](https://www.workbuddy.cn/docs/workbuddy/From-Beginner-to-Expert-Guide/Function-Description/MCP-Guide), setup writes `mcpServers.rea` into the

docs/installation.md

@@ -636,6 +636,7 @@ hosted connector; see [its configuration](client-configuration.md#other-client-s
 | Claude Desktop     | `claude_desktop` |
 | Codex              | `codex`          |
 | Cursor             | `cursor`         |
+| CodeBuddy          | `codebuddy`      |
 | Gemini CLI         | `gemini_cli`     |
 | Windsurf           | `windsurf`       |
 | Devin              | `devin`          |