Exported Amplify backend is not fully building in Cdk deployment

### How did you install the Amplify CLI?

npm

### If applicable, what version of Node.js are you using?

v16.19.1

### Amplify CLI Version

11.0.3

### What operating system are you using?

Amazon Linux 2 (running in docker on Ubuntu WSL2)

### Did you make any manual changes to the cloud resources managed by Amplify? Please describe the changes made.

No

### Describe the bug

In /app03/amp, using `amplify init`, I generated a new amplify backend for dev env. I generated the backend for flutter, so the amplifyconfiguration.dart file etc was generated. I see 2 IAM roles, 1 S3 bucket, with 3 files (1 zip, 3 json files), 1 cloudformation stack, and the generated backend project in amplify console.

In /app03/cdkapp, I generated a new cdk project with `cdk init app --language=typescript --generate-only`.

I export the backend using `amplify export --out ../cdkapp/lib`.

I delete the existing backend using `amplify delete`.

I update the cdk project to generate the exported amplify backend. I run `cdk deploy`.

I see 2 IAM roles, 1 S3 bucket (empty), 1 cloudformation stack. I see no project in the amplify console.

### Expected behavior

To have the same number of files in the associated S3 bucket which is generated, and to see the project generated in the amplify console.

### Reproduction steps

1. `cd /app03`
2. `mkdir amp`
3. `mkdir cdkapp`
4. `cd amp`
5. `amplify init`
* Choose access token access
* Input token values
* Choose app type "flutter"
6. `cd ../cdkapp`
7. `cdk init app --language=typescript --generate-only`
8. `npm i`
9. `cdk bootstrap`
10. `cd ..\amp`
11. `amplify export --out ../cdkapp/lib`
12. `amplify delete`
13. `cd ..\cdkapp`
14. `npm i @aws-amplify/cdk-exported-backend`
15. `npm i lodash`
16. Update bin/cdkapp.ts to have content
```
#!/usr/bin/env node
import 'source-map-support/register';
import * as cdk from 'aws-cdk-lib';
import { AmplifyExportedBackend } from '@aws-amplify/cdk-exported-backend'
import * as path from 'path' // To resolve the path to your exported Amplify backend assets

const app = new cdk.App();

const amplifyBackend = new AmplifyExportedBackend(app, "amplifyExportedBackend", {
amplifyEnvironment: "dev", // Specify your Amplify environment
path: path.resolve(__dirname, '../lib/amplify-export-app04')
})
```
18. `cdk deploy`

### Project Identifier

_No response_

### Log output

```
# Put your logs below this line

```

### Additional information

_No response_

### Before submitting, please confirm:

- [X] I have done my best to include a minimal, self-contained set of instructions for consistently reproducing the issue.
- [X] I have removed any sensitive information from my code snippets and submission.