[K/JS] fix(KT-53569): skip double traversing for nested annotation classes.

js/js.tests/tests-gen/org/jetbrains/kotlin/js/test/BoxJsTestGenerated.java

@@ -39,6 +39,12 @@ public class BoxJsTestGenerated extends AbstractBoxJsTest {
         public void testAnnotationClass() throws Exception {
             runTest("js/js.translator/testData/box/annotation/annotationClass.kt");
         }
+
+        @Test
+        @TestMetadata("multipleEqualMethodsBug.kt")
+        public void testMultipleEqualMethodsBug() throws Exception {
+            runTest("js/js.translator/testData/box/annotation/multipleEqualMethodsBug.kt");
+        }
     }
 
     @Nested

js/js.tests/tests-gen/org/jetbrains/kotlin/js/test/ir/FirJsTestGenerated.java

@@ -39,6 +39,12 @@ public class FirJsTestGenerated extends AbstractFirJsTest {
         public void testAnnotationClass() throws Exception {
             runTest("js/js.translator/testData/box/annotation/annotationClass.kt");
         }
+
+        @Test
+        @TestMetadata("multipleEqualMethodsBug.kt")
+        public void testMultipleEqualMethodsBug() throws Exception {
+            runTest("js/js.translator/testData/box/annotation/multipleEqualMethodsBug.kt");
+        }
     }
 
     @Nested

js/js.tests/tests-gen/org/jetbrains/kotlin/js/test/ir/IrBoxJsTestGenerated.java

@@ -39,6 +39,12 @@ public class IrBoxJsTestGenerated extends AbstractIrBoxJsTest {
         public void testAnnotationClass() throws Exception {
             runTest("js/js.translator/testData/box/annotation/annotationClass.kt");
         }
+
+        @Test
+        @TestMetadata("multipleEqualMethodsBug.kt")
+        public void testMultipleEqualMethodsBug() throws Exception {
+            runTest("js/js.translator/testData/box/annotation/multipleEqualMethodsBug.kt");
+        }
     }
 
     @Nested

js/js.translator/testData/box/annotation/multipleEqualMethodsBug.kt

@@ -0,0 +1,11 @@
+// IGNORE_BACKEND: JS
+// EXPECTED_REACHABLE_NODES: 1280
+package foo
+
+annotation class Parent {
+    annotation class Child
+}
+
+fun box(): String {
+    return if (Parent.Child() == Parent.Child()) "OK" else "FAIL"
+}