DNS Rewrite not working for AdGuard Home itself

Prerequisites

[X] I have checked the Wiki and Discussions and found no answer
[X] I have searched other issues and found no duplicates
[X] I want to report a bug and not ask a question or ask for help
[X] I have set up AdGuard Home correctly and configured clients to use it. (Use the Discussions for help with installing and configuring clients.)

Platform (OS and CPU architecture)

Linux, ARMv7

Installation

GitHub releases or script from README

Setup

On one machine

AdGuard Home version

latest

Action

After setting up successful DNS rewrite for my other services on my machine, I decided to setup a DNS rewrite for AdGuard home itself.

I wrote some domain, I made the target IP Address be the same like the other dns rewrites (i.e the machine IP, which starts with a 10, as it's in the private IP range), I've setup NGINX with literally 1:1 configuration which was completely successful for my other 2 applications, and voyla - after visiting my DNS server, I get a bogus 502 Gateway error.

The nginx configuration I've used for the other 2 applications, including for AdGuard Home, is the following:

server {
  listen 80;
  server_name my.adguard;

  # Disable access logging
  access_log off;

  # Disable error logging (optional)
  error_log /dev/null crit;

  location / {
      proxy_pass http://0.0.0.0:1234; # 1234 is where the web interface for AdGuard home lives, IP binding in .yaml of AdGuardhome is for 10.X.X.X
      proxy_set_header Host $host;
      proxy_set_header X-Real-IP $remote_addr;
      proxy_set_header X-Forwarded-For $proxy_add_x_forwarded_for;
      proxy_set_header X-Forwarded-Proto $scheme;

      # Handle WebSocket connections, if any; Yes, I've tried disabling these - same thing.
      proxy_http_version 1.1;
      proxy_set_header Upgrade $http_upgrade;
      proxy_set_header Connection "upgrade";
    }
}

The only parts different in this configuration versus the others are obviously - the server_name and the port we forward to.

Expected result

Things to work.

Actual result

Things don't work.

Additional information and/or screenshots

No response

AdguardTeam / AdGuardHome