Use domain name to access Pi-hole in Docker

The issue I am facing:
I want to add domain to Pi-Hole config so I can access it by typing domain.com instead of http://123.123.123.123

Can someone quickly guide me or point me at some tutorial on how to do it?
Is it only related to play with lighttpd config?

Details about my system:
I'm running Pi-Hole in a Docker.
My host system where I run Docker Engine has already following setup:

# /etc/hostname
pihole.domain.com
#/etc/hosts
99.99.99.99   pihole.domain.com pihole

Although I don't run any web servers on this host (Pi-Hole will be the only one in Docker) I can easily ping it and access it via domain name. But once Pi-Hole in Docker is running I can only access it via IP: 123.123.123.123 and not pihole.domain.com

Is it reachable at pi.hole ?

Hi @Icm :wave:

Have you managed to solve it?

This thread might help you: PiHole - DNS to Different ports