It is really up to you. I will recommend to validate it on both sides of the fence, whether that means having two different piece of code, or just a validation at the API level where you store the data.
Now, if your question is about re-using the model? Sure, you can re-use it, but the model itself will sync with an external entity to store the data, so you have to be careful about it. If that business logic and configuration something you want to expose in the client side? Maybe not. In which case just flag it with server affinity and that should help. Also, part of the logic, what we call coordination might go into the controller rather than the model itself, so, you can also flag the controller with server to fully protect that part of the code.
Another solution is to have Two separate controllers/models, client and server versions, and using the rpc=true flag to force actions to be executed in the server when they are sensible actions.