diff --git a/core/lib/Drupal/Core/Config/Action/Plugin/ConfigAction/EntityMethod.php b/core/lib/Drupal/Core/Config/Action/Plugin/ConfigAction/EntityMethod.php
index 8b00b4381c16051feff631c48666aabfe8b0e3fe..82ffdf2fab536fd785476cac078c9ff4a663b699 100644
--- a/core/lib/Drupal/Core/Config/Action/Plugin/ConfigAction/EntityMethod.php
+++ b/core/lib/Drupal/Core/Config/Action/Plugin/ConfigAction/EntityMethod.php
@@ -138,12 +138,14 @@ private function applySingle(ConfigEntityInterface $entity, mixed $value): Confi
       if ($this->numberOfRequiredParams !== 1 && $this->numberOfParams !== 1) {
         throw new EntityMethodException(sprintf('Entity method config action \'%s\' requires an array value. The number of parameters or required parameters for %s::%s() is not 1', $this->pluginId, $entity->getEntityType()->getClass(), $this->method));
       }
-      $entity->{$this->method}($value);
+      $result = $entity->{$this->method}($value);
     }
     else {
-      $entity->{$this->method}(...$value);
+      $result = $entity->{$this->method}(...$value);
     }
-    return $entity;
+    // If an instance of the entity (either itself, or a clone) was returned
+    // by the method, return that.
+    return is_a($result, get_class($entity)) ? $result : $entity;
   }
 
 }
diff --git a/core/lib/Drupal/Core/Entity/EntityDisplayBase.php b/core/lib/Drupal/Core/Entity/EntityDisplayBase.php
index c7620ca8085bd1d0bb7f1bac3338075152b73bd7..b727143ec041f0c7b6d29a539b60f818b9ab63f8 100644
--- a/core/lib/Drupal/Core/Entity/EntityDisplayBase.php
+++ b/core/lib/Drupal/Core/Entity/EntityDisplayBase.php
@@ -324,6 +324,7 @@ public function toArray() {
   /**
    * {@inheritdoc}
    */
+  #[ActionMethod(adminLabel: new TranslatableMarkup('Copy to another mode'), pluralize: FALSE)]
   public function createCopy($mode) {
     $display = $this->createDuplicate();
     $display->mode = $display->originalMode = $mode;
@@ -588,4 +589,20 @@ protected function getLogger() {
     return \Drupal::logger('system');
   }
 
+  /**
+   * {@inheritdoc}
+   */
+  public function set($property_name, $value): static {
+    // If changing the entity ID, also update the target entity type, bundle,
+    // and view mode.
+    if ($this->isNew() && $property_name === $this->getEntityType()->getKey('id')) {
+      if (substr_count($value, '.') !== 2) {
+        throw new \InvalidArgumentException("'$value' is not a valid entity display ID.");
+      }
+      [$this->targetEntityType, $this->bundle, $this->mode] = explode('.', $value);
+    }
+    parent::set($property_name, $value);
+    return $this;
+  }
+
 }
diff --git a/core/modules/layout_builder/tests/src/Kernel/LayoutBuilderEntityViewDisplayValidationTest.php b/core/modules/layout_builder/tests/src/Kernel/LayoutBuilderEntityViewDisplayValidationTest.php
index 132b5a8a03e6fb3cffa6eb59f112f16d15ce841f..24eb61c309fe1f6a1d95c793c162cab401585503 100644
--- a/core/modules/layout_builder/tests/src/Kernel/LayoutBuilderEntityViewDisplayValidationTest.php
+++ b/core/modules/layout_builder/tests/src/Kernel/LayoutBuilderEntityViewDisplayValidationTest.php
@@ -72,6 +72,7 @@ public function testLabelValidation(): void {
    */
   public function testImmutableProperties(array $valid_values = []): void {
     parent::testImmutableProperties([
+      'id' => 'entity_test_with_bundle.two.full',
       'targetEntityType' => 'entity_test_with_bundle',
       'bundle' => 'two',
     ]);
diff --git a/core/tests/Drupal/KernelTests/Core/Entity/EntityDisplayBaseTest.php b/core/tests/Drupal/KernelTests/Core/Entity/EntityDisplayBaseTest.php
index 7514533966c8f42d14e0a0cc4a1c6feea9452ec8..7720b711c1f1ab5745fdce130de2fa0e30329559 100644
--- a/core/tests/Drupal/KernelTests/Core/Entity/EntityDisplayBaseTest.php
+++ b/core/tests/Drupal/KernelTests/Core/Entity/EntityDisplayBaseTest.php
@@ -6,6 +6,7 @@
 
 use Drupal\comment\Entity\CommentType;
 use Drupal\Core\Entity\Entity\EntityViewDisplay;
+use Drupal\Core\Entity\EntityDisplayRepositoryInterface;
 use Drupal\field\Entity\FieldConfig;
 use Drupal\field\Entity\FieldStorageConfig;
 use Drupal\KernelTests\KernelTestBase;
@@ -170,4 +171,22 @@ public function testOnDependencyRemoval(): void {
     $this->assertSame($expected_dependencies, $entity_display->getDependencies());
   }
 
+  /**
+   * Tests that changing the entity ID updates related properties.
+   */
+  public function testChangeId(): void {
+    /** @var \Drupal\Core\Entity\Display\EntityDisplayInterface $display */
+    $display = $this->container->get(EntityDisplayRepositoryInterface::class)
+      ->getViewDisplay('entity_test', 'entity_test');
+    $this->assertSame('entity_test.entity_test.default', $display->id());
+    $display->set('id', 'node.page.rss');
+    $this->assertSame('node', $display->getTargetEntityTypeId());
+    $this->assertSame('page', $display->getTargetBundle());
+    $this->assertSame('rss', $display->getMode());
+
+    $this->expectException(\InvalidArgumentException::class);
+    $this->expectExceptionMessage("'a.b' is not a valid entity display ID.");
+    $display->set('id', 'a.b');
+  }
+
 }
diff --git a/core/tests/Drupal/KernelTests/Core/Entity/EntityFormDisplayValidationTest.php b/core/tests/Drupal/KernelTests/Core/Entity/EntityFormDisplayValidationTest.php
index ccd069f914d9750a8a4fc5db09fdb98114af051b..57762e942bbdb5b1cdf4129d81d896d44b5ec342 100644
--- a/core/tests/Drupal/KernelTests/Core/Entity/EntityFormDisplayValidationTest.php
+++ b/core/tests/Drupal/KernelTests/Core/Entity/EntityFormDisplayValidationTest.php
@@ -113,6 +113,7 @@ public function testTargetBundleMustExist(): void {
    */
   public function testImmutableProperties(array $valid_values = []): void {
     parent::testImmutableProperties([
+      'id' => 'entity_test_with_bundle.two.default',
       'targetEntityType' => 'entity_test_with_bundle',
       'bundle' => 'two',
     ]);
diff --git a/core/tests/Drupal/KernelTests/Core/Entity/EntityViewDisplayValidationTest.php b/core/tests/Drupal/KernelTests/Core/Entity/EntityViewDisplayValidationTest.php
index 607458810ccf28fe497ab84c418ec111a17b82c3..7e034801a89aa61211caba546ab0d08806f06413 100644
--- a/core/tests/Drupal/KernelTests/Core/Entity/EntityViewDisplayValidationTest.php
+++ b/core/tests/Drupal/KernelTests/Core/Entity/EntityViewDisplayValidationTest.php
@@ -92,6 +92,7 @@ public function testTargetBundleMustExist(): void {
    */
   public function testImmutableProperties(array $valid_values = []): void {
     parent::testImmutableProperties([
+      'id' => 'entity_test_with_bundle.two.full',
       'targetEntityType' => 'entity_test_with_bundle',
       'bundle' => 'two',
     ]);
diff --git a/core/tests/Drupal/KernelTests/Core/Recipe/EntityCloneConfigActionTest.php b/core/tests/Drupal/KernelTests/Core/Recipe/EntityCloneConfigActionTest.php
index dd9472d81f7d545ee624ab23e0a502818f4951ae..c8ce6a3aa8b2b0142dbc0d7449fb4e2bd178cf94 100644
--- a/core/tests/Drupal/KernelTests/Core/Recipe/EntityCloneConfigActionTest.php
+++ b/core/tests/Drupal/KernelTests/Core/Recipe/EntityCloneConfigActionTest.php
@@ -5,7 +5,10 @@
 namespace Drupal\KernelTests\Core\Recipe;
 
 use Drupal\Core\Config\Action\ConfigActionException;
+use Drupal\Core\Entity\EntityDisplayRepositoryInterface;
+use Drupal\Core\Extension\ModuleInstallerInterface;
 use Drupal\KernelTests\KernelTestBase;
+use Drupal\Tests\node\Traits\ContentTypeCreationTrait;
 use Drupal\Tests\user\Traits\UserCreationTrait;
 use Drupal\user\Entity\Role;
 
@@ -15,6 +18,7 @@
  */
 class EntityCloneConfigActionTest extends KernelTestBase {
 
+  use ContentTypeCreationTrait;
   use UserCreationTrait;
 
   /**
@@ -69,4 +73,37 @@ public function testNoErrorWithExistingEntity(): void {
     $this->assertFalse($clone->hasPermission('access user profiles'));
   }
 
+  /**
+   * Tests cloning entity displays, which have specialized logic for that.
+   */
+  public function testCloneEntityDisplay(): void {
+    $this->container->get(ModuleInstallerInterface::class)->install(['node']);
+    $this->createContentType(['type' => 'alpha']);
+    $this->createContentType(['type' => 'beta']);
+
+    /** @var \Drupal\Core\Entity\EntityDisplayRepositoryInterface $display_repository */
+    $display_repository = $this->container->get(EntityDisplayRepositoryInterface::class);
+    // Create the default view displays for each node type.
+    $display_repository->getViewDisplay('node', 'alpha')->save();
+    $display_repository->getViewDisplay('node', 'beta')->save();
+
+    // Ensure the `rss` displays don't exist yet.
+    $this->assertTrue($display_repository->getViewDisplay('node', 'alpha', 'rss')->isNew());
+    $this->assertTrue($display_repository->getViewDisplay('node', 'beta', 'rss')->isNew());
+    // Use the action to clone the default view displays to the `rss` view mode.
+    /** @var \Drupal\Core\Config\Action\ConfigActionManager $manager */
+    $manager = $this->container->get('plugin.manager.config_action');
+    $manager->applyAction('cloneAs', 'core.entity_view_display.node.alpha.default', 'node.alpha.rss');
+    $manager->applyAction('entity_method:core.entity_view_display:createCopy', 'core.entity_view_display.node.beta.default', 'rss');
+    $this->assertFalse($display_repository->getViewDisplay('node', 'alpha', 'rss')->isNew());
+    $this->assertFalse($display_repository->getViewDisplay('node', 'beta', 'rss')->isNew());
+
+    // Ensure that this also works with wildcards.
+    $this->assertTrue($display_repository->getViewDisplay('node', 'alpha', 'search_result')->isNew());
+    $this->assertTrue($display_repository->getViewDisplay('node', 'beta', 'search_result')->isNew());
+    $manager->applyAction('entity_method:core.entity_view_display:createCopy', 'core.entity_view_display.node.*.default', 'search_result');
+    $this->assertFalse($display_repository->getViewDisplay('node', 'alpha', 'search_result')->isNew());
+    $this->assertFalse($display_repository->getViewDisplay('node', 'beta', 'search_result')->isNew());
+  }
+
 }
diff --git a/core/tests/Drupal/Tests/Core/Config/Entity/EntityDisplayBaseTest.php b/core/tests/Drupal/Tests/Core/Config/Entity/EntityDisplayBaseTest.php
index a45e3d10bd2a3eb8c2f82ed3f7c645197113861b..35ffd1ecc5ceaf7a6d5a83db138f4d3b32cddd89 100644
--- a/core/tests/Drupal/Tests/Core/Config/Entity/EntityDisplayBaseTest.php
+++ b/core/tests/Drupal/Tests/Core/Config/Entity/EntityDisplayBaseTest.php
@@ -5,6 +5,7 @@
 namespace Drupal\Tests\Core\Config\Entity;
 
 use Drupal\Core\Entity\EntityDisplayBase;
+use Drupal\Core\Entity\EntityType;
 use Drupal\Tests\UnitTestCase;
 use PHPUnit\Framework\MockObject\MockObject;
 
@@ -25,6 +26,7 @@ class EntityDisplayBaseTest extends UnitTestCase {
    */
   protected function setUp(): void {
     parent::setUp();
+
     $this->entityDisplay = $this->getMockBuilder(EntityDisplayBaseMockableClass::class)
       ->disableOriginalConstructor()
       ->onlyMethods([])
@@ -91,4 +93,13 @@ public function getRenderer($field_name) {
     return NULL;
   }
 
+  public function getEntityType() {
+    return new EntityType([
+      'id' => 'entity_view_display',
+      'entity_keys' => [
+        'id' => 'id',
+      ],
+    ]);
+  }
+
 }