Hide my game server IP (I'm using Cloudflare) so people can't find neither use my original IP

Job ID: 34516065

Budget: $10 – $30 USD

I'm running a game server on ports 7171 and 7172 TCP + UDP.

The website is protected with Cloudflare but my problem is that people can find my server IP when running my game client and checking with Wireshark.

I have a subdomain too which probably could be used to create a reverse proxy or similar

People should not be able to find my server IP, neither connect to it directly.