Rust Quickstarter: Replace pre-commit with Rust-based prek

Is your feature request related to a problem? Please describe.
The Rust quickstarter currently uses pre-commit for managing hooks. While stable, it can feel slow and adds Python-based overhead, which is not fully aligned with modern Rust-based development workflows.

Describe the solution you'd like
Replace pre-commit with prek, a lightweight and fast reimplementation written in Rust.
This would improve performance, reduce tooling complexity, and better align with the Rust ecosystem used in the quickstarter

Describe alternatives you've considered
Keeping pre-commit as-is

Additional context
prek is designed as a drop-in reimagining of pre-commit, offering significantly faster execution while maintaining a similar developer experience. This could improve local development speed and CI performance with minimal migration effort.

Inspect the Rust quickstarter's pre-commit configuration and CI integration, then review prek's migration guidance. Replace the existing pre-commit usage with prek while preserving the current hook behavior; the work is done when local hooks and CI run successfully without the pre-commit dependency.