watch: preserve output when gracefully restarted

PR-URL: #54323
Reviewed-By: James M Snell <jasnell@gmail.com>
Reviewed-By: Moshe Atlow <moshe@atlow.co.il>

Author: theoludwig

lib/internal/main/watch_mode.js

@@ -109,7 +109,10 @@ function reportGracefulTermination() {
   return () => {
     clearTimeout(graceTimer);
     if (reported) {
-      process.stdout.write(`${clear}${green}Gracefully restarted ${kCommandStr}${white}\n`);
+      if (!kPreserveOutput) {
+        process.stdout.write(clear);
+      }
+      process.stdout.write(`${green}Gracefully restarted ${kCommandStr}${white}\n`);
     }
   };
 }