Try each way of connecting your terminal to a container and see what happens to the container afterwards.

Start a shell with no flags and check its status:

docker run --name quick alpine:3.20 sh
docker ps -a

Now with a terminal. Inside the container, save the Alpine release, then leave:

docker run -it --name shell alpine:3.20 sh

/ # cat /etc/alpine-release > /root/release.txt
/ # exit

Check what leaving did:

docker inspect --format '{{.State.Status}}' shell

Sort ~/servers.txt inside a container named sorter by feeding it to stdin:

cat ~/servers.txt
docker run -i --name sorter alpine:3.20 sort < ~/servers.txt

Last, keep a shell running in the background and work in it through docker exec:

docker run -dit --name toolbox alpine:3.20 sh
docker exec -it toolbox sh

/ # touch /tmp/ready
/ # exit

docker ps should still list toolbox as Up.