It was a shame AOL shut down this service. Fortunately, there are other people out there who have decoded the OSCAR protocol and got it to work.
Here is how I was able to get the service working again on my own hardware.
Install any dependencies
apt install go git
Do a git clone on the repository
cd /home/<username>/
git clone https://github.com/ox/aim-oscar-server
Run it
cd aim-oscar-server/scripts
./run.sh
Download your AIM 3.5 client and click Setup then replace Host with the IP address of the computer you are running the script on.
Here is a video of it working