code editor lifecycle configurations not running as root

### Product Version

- [ ] Amazon SageMaker Studio Classic
- [X] Amazon SageMaker Studio
- [ ] Issue is not related to SageMaker Studio

### Issue Description

the documentation for lifecycle configurations say that it runs as root: https://docs.aws.amazon.com/sagemaker/latest/dg/nbi-lifecycle-config-install.html . this documentation is however for notebooks - do notebook and code editor lifecycle rules intentional start as different users?

however if i echo $USER from a lifecycle configuration it returns that its running as sagemaker-user.

either documentation is incorrect or the lifecycle configuration is not correctly running as root

### Expected Behavior

life cycle configuration runs as stated in the documentation.

### Observed Behavior

_No response_

### Product Category

_No response_

### Feedback Category

_No response_

### Other Details

_No response_

Start with the linked SageMaker lifecycle-configuration documentation and reproduce the reported behavior by echoing $USER from a Studio code editor lifecycle configuration. Determine whether code editor configurations intentionally run as sagemaker-user; done means the documented behavior and the observed behavior are reconciled through a confirmed product behavior or corrected documentation.

Written by the indexing model from the issue text.