Deployment on multiple lxc container

Hello,

so far I have not been able to google an answer to my question or have not found anything on the subject.

In my use case it is that I have ~100 LXC containers.
I would like to deploy updates with TeamCity on these containers.
Each container has an internal IP and TeamCity would have SSH access to the systems.

Does TeamCity provide an easy way to do this?
Ideally, I would use only one build configuration, which is then executed on each system.

I hope you can help me with this.

Greetings,

Ben