CloudFront origin for specific region content

Question

I have created four S3 buckets, each with a simple index.html file and each with unique content.

I have created a CloudFront distribution and assigned it four origins, one for each of the four buckets.

Each origin has an Origin Access Identity and that OAI has been used in it's related bucket's policy, eg:

{
    "Version": "2012-10-17",
    "Statement": [
        {
            "Effect": "Allow",
            "Principal": {
                "AWS": "arn:aws:iam::cloudfront:user/CloudFront Origin Access Identity 123456789ABCDE"
            },
            "Action": "s3:GetObject",
            "Resource": "arn:aws:s3:::my-first-test-bucket/*"
        }
    ]
}

I have also set Block all public access to true for each bucket.

When I visit the distribution domain name I see the content for my region.

However, when I use a geo-browser to test the distribution from another region (one closer to one of the other buckets) I see the same content.

How can I configure my CloudFront distribution to serve the closest region-specific content? (eg: us-east-1 bucket content served through CloudFront for New York users.)