Error status 429 on protected branches

### Before opening, please confirm:

- [X] I have checked to see if my question is addressed in the [FAQ](https://github.com/aws-amplify/amplify-hosting/blob/master/FAQ.md).
- [X] I have [searched for duplicate or closed issues](https://github.com/aws-amplify/amplify-hosting/issues?q=is%3Aissue+).
- [X] I have read the guide for [submitting bug reports](https://github.com/aws-amplify/amplify-hosting/blob/master/CONTRIBUTING.md).
- [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.

### App Id

d31nsviof9mm88

### AWS Region

eu-west-3

### Amplify Hosting feature

Frontend builds

### Describe the bug

Referring to issue #1823, I am having problems with loading server files properly, for example, images, CSS, or even Javascript files. The files affected by this behavior seem to be random. I am protecting the deployment with credentials.

### Expected behavior

Not receiving the error message: `Failed to load resource: the server responded with a status of 429 ()` (on Safari)

### Reproduction steps

1. Deploy the frontend application and protect the master branch with credentials;
2. Go to the site and read the console errors, for example, the following ones:

OR

OR

### Build Settings

_No response_

### Log output

```
# Put your logs below this line

```

### Additional information

_No response_

Start by reviewing issue #1823 and the linked FAQ and contributing guide, then reproduce the protected master-branch deployment in AWS Amplify Hosting for the reported eu-west-3 app. Check whether the intermittent 429 responses affect images, CSS, and JavaScript requests; the issue is resolved when those assets load without 429 errors while branch protection remains enabled.

Written by the indexing model from the issue text.