This project will build Quake3e from source and start the server. This was tested on ARM but should work in other architectures.
Build the image with:
docker build -t quake3e/server .
Create a volume that will contain the Quake3 Paks:
docker volume create quake3-data
Start the server:
docker run -dit --name=quake3e --restart=always -p 27960:27960/udp -v quake3-data:/home/quake3esrv/.q3a/ quake3e/server
The server will start and die due to the missing Paks. At this point you can docker cp the packs into /home/quake3esrv/.q3a in the container and restart it.