[Subtask] Enhance the capability to execute special group Rust tests.

### Describe the subtask

Enhance the capability to execute special group Rust tests.
Currently, test classification is achieved using a prefix pattern and environment variables.

### Parent issue

#5504

Start with parent issue #5504 and trace the current Rust test classification that uses prefix patterns and environment variables. Identify the entry points and tests involved in executing special test groups; done means the requested enhanced capability is implemented and its behavior is covered by tests, but the issue does not define the exact expected behavior.

Written by the indexing model from the issue text.