Sagemaker Code Editor: Persisting settings and extensions

### Product Category

Other

### Question

sagmaker-code-editor uses server, data, and extensions directories located outside of `/home/sagemaker-user`

Thus, any edits to user settings or extensions are not persisted beyond the application's runtime.

Is there any reason why these directories can't be located in the `/home/sagemaker-user` directory mounted via EBS?

### Other Details

_No response_

Start by examining how the SageMaker Code Editor uses the server, data, and extensions directories outside /home/sagemaker-user, and how that directory is mounted via EBS. Confirm whether relocating them would preserve user settings and extensions across application restarts; the issue does not name source files or tests.

Written by the indexing model from the issue text.