Find annotation without initializing factory beans

Closes gh-28977

spring-boot-project/spring-boot/src/main/java/org/springframework/boot/sql/init/dependency/AnnotationDependsOnDatabaseInitializationDetector.java

@@ -33,7 +33,7 @@ class AnnotationDependsOnDatabaseInitializationDetector implements DependsOnData
 	public Set<String> detect(ConfigurableListableBeanFactory beanFactory) {
 		Set<String> dependentBeans = new HashSet<>();
 		for (String beanName : beanFactory.getBeanDefinitionNames()) {
-			if (beanFactory.findAnnotationOnBean(beanName, DependsOnDatabaseInitialization.class) != null) {
+			if (beanFactory.findAnnotationOnBean(beanName, DependsOnDatabaseInitialization.class, false) != null) {
 				dependentBeans.add(beanName);
 			}
 		}

spring-boot-project/spring-boot/src/test/java/org/springframework/boot/jdbc/AbstractDataSourceInitializerDependencyConfigurationTests.java

@@ -39,11 +39,13 @@ import static org.assertj.core.api.Assertions.assertThat;
 class AbstractDataSourceInitializerDependencyConfigurationTests {
 
 	@Test
-	void beanThatDependsOnDatabaseInitializationDependsOnAbstractDataSourceInitializerBeans() {
+	void beansThatDependOnDatabaseInitializationDependOnAbstractDataSourceInitializerBeans() {
 		try (AnnotationConfigApplicationContext context = new AnnotationConfigApplicationContext(
 				TestConfiguration.class)) {
-			assertThat(context.getBeanFactory().getBeanDefinition("dependsOnDataSourceInitialization").getDependsOn())
-					.contains("initializer");
+			assertThat(context.getBeanFactory().getBeanDefinition("factoryMethodDependsOnDatabaseInitialization")
+					.getDependsOn()).contains("initializer");
+			assertThat(context.getBeanFactory().getBeanDefinition("beanClassDependsOnDatabaseInitialization")
+					.getDependsOn()).contains("initializer");
 		}
 	}
 
@@ -58,10 +60,15 @@ class AbstractDataSourceInitializerDependencyConfigurationTests {
 
 		@Bean
 		@DependsOnDatabaseInitialization
-		String dependsOnDataSourceInitialization() {
+		String factoryMethodDependsOnDatabaseInitialization() {
 			return "test";
 		}
 
+		@Bean
+		DatabaseInitializationDependent beanClassDependsOnDatabaseInitialization() {
+			return new DatabaseInitializationDependent();
+		}
+
 		@Bean
 		AbstractDataSourceInitializer initializer(DataSource dataSource, ResourceLoader resourceLoader) {
 			return new AbstractDataSourceInitializer(dataSource, resourceLoader) {
@@ -81,4 +88,9 @@ class AbstractDataSourceInitializerDependencyConfigurationTests {
 
 	}
 
+	@DependsOnDatabaseInitialization
+	static class DatabaseInitializationDependent {
+
+	}
+
 }