feat: add Cursor CLI installation attempts documentation and enhance Docker setup

- Introduced a new markdown file summarizing various attempts to install the Cursor CLI in Docker, detailing approaches, results, and key learnings.
- Updated Dockerfile to ensure proper installation of Cursor CLI for the non-root user, including necessary PATH adjustments for interactive shells.
- Enhanced entrypoint script to manage OAuth tokens for both Claude and Cursor CLIs, ensuring correct permissions and directory setups.
- Added scripts for extracting OAuth tokens from macOS Keychain and Linux JSON files for seamless integration with Docker.
- Updated docker-compose files to support persistent storage for CLI configurations and authentication tokens.

These changes improve the development workflow and provide clear guidance on CLI installation and authentication processes.

libs/platform/src/system-paths.ts

@@ -800,8 +800,14 @@ export async function getClaudeAuthIndicators(): Promise<ClaudeAuthIndicators> {
       const content = await systemPathReadFile(credPath);
       const credentials = JSON.parse(content);
       result.hasCredentialsFile = true;
+      // Support multiple credential formats:
+      // 1. Claude Code CLI format: { claudeAiOauth: { accessToken, refreshToken } }
+      // 2. Legacy format: { oauth_token } or { access_token }
+      // 3. API key format: { api_key }
+      const hasClaudeOauth = !!credentials.claudeAiOauth?.accessToken;
+      const hasLegacyOauth = !!(credentials.oauth_token || credentials.access_token);
       result.credentials = {
-        hasOAuthToken: !!(credentials.oauth_token || credentials.access_token),
+        hasOAuthToken: hasClaudeOauth || hasLegacyOauth,
         hasApiKey: !!credentials.api_key,
       };
       break;