Both NGINX and ICECAST operate on their own ports and are completely independent services. If, however, you want to run them on the same port (usually port 80), then you will need to configure NGINX to act as a proxy for ICECAST.

Learn how to set up an Icecast server for audio broadcasting within your network using Ubuntu.

networking - How do I setup an Icecast server for ... - Ask Ubuntu

How do I make a Icecast live stream play at the same time as the audio it's providing? I understand that a lot of live streams are not always accurate, such as online radio but is there a feature when I can get the most accurate time? Any help will be appreciated.

How do I make a Icecast live stream play at accurate time?

Icecast is a streaming media server which currently supports Ogg (Vorbis and Theora), Opus, WebM and MP3 audio streams. Icecast To overcome this we may want to have a look at darkice which claims to be capable to convert and send AAC-streams (amongst others) to Icecast. Also see: How do I setup an Icecast server for broadcasting audio in my ...

Icecast is a free open source streaming media server that currently supports streaming of Vorbis, Opus, WebM and Theora. Also known to work are MP3 and AAC.

icecast - Setting up Icecast2 streaming server on the Internet for live ...