Hosting a WordPress blog as a sub folder from a S3 website

I have a website set up for my organisation under www.mycompany.com (running on Amazon S3). I also have a WordPress blog set up under blog.mycompany.com (running on a separate LAMP server).

For SEO purposes, our marketing department has asked to set up www.mycompany.com/blog to go to our blog main page.

Our website is currently hosted on an Amazon S3 bucket, behind Amazon Cloudfront. I have managed to set up S3/CloudFront redirections successfully so that a basic redirection happens automatically, e.g.:

www.mycompany.com/blog -> blog.mycompany.com/blog

www.mycompany.com/blog/my-article -> blog.mycompany.com/blog/my-article

Which is all fine, except for the fact that WordPress shows blog.mycompany.com as the subdomain.

Is there any way that we can still show in the URL bar the www subdomain in place of blog? e.g. so it still shows www.mycompany.com/blog/my-article ?

Is there some way we can use mod_rewrite or similar to alter the URL for the WordPress site?

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