(ci): make logs of PR GitHub CI public instead of using github-codebuild-logs

### Describe the feature

Make logs of PR GitHub CI public instead of using github-codebuild-logs

### Use Case

The AWS CodeBuild supports [publicly viewable build results](https://aws.amazon.com/about-aws/whats-new/2021/08/codebuild-supports-publicly-viewable-build-results/). When enabled, the build results are accessible to public.

The CodeBuild used by aws-cdk is private, and it uses [github-codebuild-logs](https://serverlessrepo.aws.amazon.com/applications/arn:aws:serverlessrepo:us-east-1:277187709615:applications~github-codebuild-logs) to add a comment with link to the result. Because of this, and an extra comment is added for each CI build.

Example comment: https://github.com/aws/aws-cdk/pull/26624#issuecomment-1664383382

### Proposed Solution

Enable publicly viewable build results on CodeBuild, and disable github-codebuild-logs.

### Other Information

_No response_

### Acknowledgements

- [ ] I may be able to implement this feature request
- [ ] This feature might incur a breaking change

### CDK version used

N/A

### Environment details (OS name and version, etc.)

N/A

Inspect the repository's GitHub CI and AWS CodeBuild configuration to find where github-codebuild-logs is enabled and how build results are exposed. Enable publicly viewable CodeBuild results, remove the github-codebuild-logs integration, and verify that PR builds link directly to public results without adding extra comments.

Written by the indexing model from the issue text.