chore(scheduler-targets): lambda invoke target integration test (#27088)

Continuing @Jacco work from #26268 

Currently we were second-guessing if the implementations of ScheduleExpression and ScheduleTargetInput generate valid and correct CloudFormation.

This integration test verifies that lambda invoke target is invoked:
- A schedule is deployed that triggers a Lambda every minute after deployment.
- The function adds a Tag to itself Key=OutputValue Value=base64 of the JSON string made of the input event
- An assertion is made that checks for 10 minutes if the expected Tag appears


Advances #23394

----

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

packages/@aws-cdk/aws-scheduler-targets-alpha/lib/lambda-invoke.ts

@@ -5,6 +5,9 @@ import * as lambda from 'aws-cdk-lib/aws-lambda';
 import { ScheduleTargetBase, ScheduleTargetBaseProps } from './target';
 import { sameEnvDimension } from './util';
 
+/**
+ * Use an AWS Lambda function as a target for AWS EventBridge Scheduler.
+ */
 export class LambdaInvoke extends ScheduleTargetBase implements IScheduleTarget {
   constructor(
     private readonly func: lambda.IFunction,

packages/@aws-cdk/aws-scheduler-targets-alpha/lib/target.ts

@@ -62,6 +62,9 @@ export interface ScheduleTargetBaseProps {
   readonly retryAttempts?: number;
 }
 
+/**
+ * Base class for Schedule Targets
+ */
 export abstract class ScheduleTargetBase {
 
   constructor(
@@ -91,6 +94,11 @@ export abstract class ScheduleTargetBase {
     };
   }
 
+  /**
+   * Create a return a Schedule Target Configuration for the given schedule
+   * @param schedule
+   * @returnn
+   */
   bind(schedule: ISchedule): ScheduleTargetConfig {
     return this.bindBaseTargetConfig(schedule);
   }

packages/@aws-cdk/aws-scheduler-targets-alpha/package.json

@@ -88,7 +88,8 @@
     "@types/jest": "^29.5.5",
     "aws-cdk-lib": "0.0.0",
     "@aws-cdk/aws-scheduler-alpha": "0.0.0",
-    "constructs": "^10.0.0"
+    "constructs": "^10.0.0",
+    "@aws-cdk/integ-tests-alpha": "0.0.0"
   },
   "dependencies": {},
   "peerDependencies": {