fix(batch): jobDefinitionName returns ARN instead of name (#25207)

`EcsJobDefinition.jobDefinitionName` returns the ARN.
This fix will return the name.

Closes #25197.

----

*By submitting this pull request, I confirm that my contribution is made under the terms of the Apache-2.0 license*

Author: lpizzinidev

packages/@aws-cdk/aws-batch-alpha/lib/ecs-job-definition.ts

@@ -58,19 +58,21 @@ export class EcsJobDefinition extends JobDefinitionBase implements IEcsJobDefini
    * Import a JobDefinition by its arn.
    */
   public static fromJobDefinitionArn(scope: Construct, id: string, jobDefinitionArn: string): IJobDefinition {
-    const stack = Stack.of(scope);
-    const jobDefinitionName = stack.splitArn(jobDefinitionArn, ArnFormat.SLASH_RESOURCE_NAME).resourceName!;
-
     class Import extends JobDefinitionBase implements IEcsJobDefinition {
       public readonly jobDefinitionArn = jobDefinitionArn;
-      public readonly jobDefinitionName = jobDefinitionName;
+      public readonly jobDefinitionName = EcsJobDefinition.getJobDefinitionName(this, jobDefinitionArn);
       public readonly enabled = true;
       container = {} as any;
     }
 
     return new Import(scope, id);
   }
 
+  private static getJobDefinitionName(scope: Construct, jobDefinitionArn: string) {
+    const resourceName = Stack.of(scope).splitArn(jobDefinitionArn, ArnFormat.SLASH_RESOURCE_NAME).resourceName!;
+    return resourceName.split(':')[0];
+  }
+
   readonly container: IEcsContainerDefinition
   public readonly propagateTags?: boolean;
 
@@ -97,7 +99,7 @@ export class EcsJobDefinition extends JobDefinitionBase implements IEcsJobDefini
       resource: 'job-definition',
       resourceName: this.physicalName,
     });
-    this.jobDefinitionName = this.getResourceNameAttribute(resource.ref);
+    this.jobDefinitionName = EcsJobDefinition.getJobDefinitionName(scope, this.jobDefinitionArn);
   }
 
   private renderPlatformCapabilities() {

packages/@aws-cdk/aws-batch-alpha/test/ecs-job-definition.test.ts

@@ -1,6 +1,6 @@
 import { Template } from 'aws-cdk-lib/assertions';
 import * as ecs from 'aws-cdk-lib/aws-ecs';
-import { Size, Stack } from 'aws-cdk-lib';
+import { DefaultTokenResolver, Size, StringConcat, Stack, Tokenization } from 'aws-cdk-lib';
 import { Compatibility, EcsEc2ContainerDefinition, EcsFargateContainerDefinition, EcsJobDefinition } from '../lib';
 
 
@@ -74,3 +74,57 @@ test('can be imported from ARN', () => {
   expect(importedJob.jobDefinitionArn).toEqual('arn:aws:batch:us-east-1:123456789012:job-definition/job-def-name:1');
 });
 
+test('JobDefinitionName is parsed from arn', () => {
+  // GIVEN
+  const stack = new Stack();
+
+  // WHEN
+  const jobDefinition = new EcsJobDefinition(stack, 'JobDefn', {
+    propagateTags: true,
+    container: new EcsEc2ContainerDefinition(stack, 'EcsContainer', {
+      cpu: 256,
+      image: ecs.ContainerImage.fromRegistry('amazon/amazon-ecs-sample'),
+      memory: Size.mebibytes(2048),
+    }),
+  });
+
+  // THEN
+  expect(Tokenization.resolve(jobDefinition.jobDefinitionName, {
+    scope: stack,
+    resolver: new DefaultTokenResolver(new StringConcat()),
+  })).toEqual({
+    'Fn::Select': [
+      1,
+      {
+        'Fn::Split': [
+          '/',
+          {
+            'Fn::Select': [
+              5,
+              {
+                'Fn::Split': [
+                  ':',
+                  {
+                    Ref: 'JobDefnA747EE6E',
+                  },
+                ],
+              },
+            ],
+          },
+        ],
+      },
+    ],
+  });
+});
+
+test('JobDefinitionName is parsed from arn in imported job', () => {
+  // GIVEN
+  const stack = new Stack();
+
+  // WHEN
+  const importedJob = EcsJobDefinition.fromJobDefinitionArn(stack, 'importedJobDefinition',
+    'arn:aws:batch:us-east-1:123456789012:job-definition/job-def-name:1');
+
+  // THEN
+  expect(importedJob.jobDefinitionName).toEqual('job-def-name');
+});