How to change https default port but not include it in the URL

I have a website on 2 different servers. And I would like to access the site on server #1 by going to https://www.example.com/ (on port 80) and access it on server #2 by going to https://www.example.com:4567/

But the problem is that I need to hide the port number from the address bar. With port 80 it is hidden by default. But if I change it to a different port then it is visible. For example if I do console.log(window.location.href) on the server I will see https://www.example.com:4567/ (with port included).

Is it possible to tell Google Chrome that the default port is not 443 for HTTPS but instead 4567? I could not find anything in the settings that could do that.