Rename RondevuClient to RondevuAPI and integrate into Rondevu class

- Renamed RondevuClient class to RondevuAPI for clarity
- Integrated API as public property `api` on Rondevu class
- Updated all internal references from `client` to `api`
- Updated all example code in documentation
- Removed recursive publish script from package.json
- Bumped version to 0.2.1

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>

src/index.ts

@@ -9,8 +9,8 @@ export { Rondevu } from './rondevu';
 // Export connection class
 export { RondevuConnection } from './connection';
 
-// Export low-level signaling client (for advanced usage)
-export { RondevuClient } from './client';
+// Export low-level signaling API (for advanced usage)
+export { RondevuAPI } from './client';
 
 // Export all types
 export type {