Haven't touched Hamachi in a hot minute but for a while I found it inefficient. Honestly if you have a Dynamic IP from your ISP you are fine for temporary testing. There's a command you can issue to get a new IP or just unplug your modem for like 30 seconds and plug it back in and you'll get a new IP from the pool. Port Forward on your router and maybe see about running the server on a virtual machine. Either way you go, make sure firewalls are properly set. When using Hamachi (it's been a literal decade for me so this may no longer be the case) your connection to other computers will appear as a local network connection where there are typically more relaxed firewall settings so devices on the network can see other devices on that local network (so if you have windows file sharing on for example, they can view those shared files. Shared printers can be another). In this case it would be better to give out the public IP because your isp/modem/router will firewall things out of the box. Again, not familiar with that game engine and haven't used Hamachi in long time. If they can view your IP the most they'll get is your ISP Name and the general location of where that ISP is but even that isn't necessarily guaranteed to be near the location you are in.