You either need to grow your lvm volume…
OR mount another disk in /var/lib/docker (this requires a temporary mount of the new drive in another location, move of the old data to the temporary mount after docker service is stoppen, then final mount in /var/lib/docker, then start the docker service)
OR mount another disk wherever you like and change the “data-root” in /etc/docker/daemon.json (again stop the docker service, move data, start the docker service).
The easiest one is to grow your lvm… I am quite sure google will give you plent of results for “lvm grow”