Web Server reachable from internet but not on site where it's hosted

So we have a web server with a private IP on the LAN side and a public IP is NAT-ed to it through the firewall

When we hit the url from anywhere outside we are able to access it but when we are on the same network as the web server, the url doesnt load. I can ping the server on the network but can't reach it through the url

How should I set this up so that on-site network can reach it via url as well?

Should I add the private IP in the DNS record?

Any help is appreciated. Thanks