Protect stdout and stderr so JavaScript code can't accidentally write to stdout corrupting ink rendering (#13247)

Bypassing rules as link checker failure is spurious.

packages/cli/src/nonInteractiveCli.ts

@@ -66,6 +66,9 @@ export async function runNonInteractive({
     const consolePatcher = new ConsolePatcher({
       stderr: true,
       debugMode: config.getDebugMode(),
+      onNewMessage: (msg) => {
+        coreEvents.emitConsoleLog(msg.type, msg.content);
+      },
     });
     const textOutput = new TextOutput();
 
@@ -177,7 +180,7 @@ export async function runNonInteractive({
       setupStdinCancellation();
 
       coreEvents.on(CoreEvent.UserFeedback, handleUserFeedback);
-      coreEvents.drainFeedbackBacklog();
+      coreEvents.drainBacklogs();
 
       // Handle EPIPE errors when the output is piped to a command that closes early.
       process.stdout.on('error', (err: NodeJS.ErrnoException) => {