feat: fix CLI authentication detection to prevent unnecessary browser prompts

- Fix Claude, Codex, and Cursor auth handlers to check if CLI is already authenticated
- Use same detection logic as each provider's internal checkAuth/codexAuthIndicators()
- For Codex: Check for API keys and auth files before requiring manual login
- For Cursor: Check for env var and credentials files before requiring manual auth
- For Claude: Check for cached auth tokens, settings, and credentials files
- If CLI is already authenticated: Just reconnect by removing disconnected marker
- If CLI needs auth: Tell user to manually run login command
- This prevents timeout errors when login commands can't run in non-interactive mode

apps/ui/src/lib/http-api-client.ts

@@ -1073,6 +1073,14 @@ export class HttpApiClient implements ElectronAPI {
       output?: string;
     }> => this.post('/api/setup/auth-claude'),
 
+    deauthClaude: (): Promise<{
+      success: boolean;
+      requiresManualDeauth?: boolean;
+      command?: string;
+      message?: string;
+      error?: string;
+    }> => this.post('/api/setup/deauth-claude'),
+
     storeApiKey: (
       provider: string,
       apiKey: string
@@ -1139,6 +1147,24 @@ export class HttpApiClient implements ElectronAPI {
       error?: string;
     }> => this.get('/api/setup/cursor-status'),
 
+    authCursor: (): Promise<{
+      success: boolean;
+      token?: string;
+      requiresManualAuth?: boolean;
+      terminalOpened?: boolean;
+      command?: string;
+      message?: string;
+      output?: string;
+    }> => this.post('/api/setup/auth-cursor'),
+
+    deauthCursor: (): Promise<{
+      success: boolean;
+      requiresManualDeauth?: boolean;
+      command?: string;
+      message?: string;
+      error?: string;
+    }> => this.post('/api/setup/deauth-cursor'),
+
     getCursorConfig: (
       projectPath: string
     ): Promise<{
@@ -1281,6 +1307,14 @@ export class HttpApiClient implements ElectronAPI {
       output?: string;
     }> => this.post('/api/setup/auth-codex'),
 
+    deauthCodex: (): Promise<{
+      success: boolean;
+      requiresManualDeauth?: boolean;
+      command?: string;
+      message?: string;
+      error?: string;
+    }> => this.post('/api/setup/deauth-codex'),
+
     verifyCodexAuth: (
       authMethod: 'cli' | 'api_key',
       apiKey?: string