This update eliminates the need for external tools like `cargo-chef` to leverage caching layers, resulting in an average build time reduction of 4m30s (~36% improvement).

While this solution doesn't fully resolve the issues mentioned in #6169 (comment), it represents the best possible approach without resorting to custom solutions, which we'd prefer to avoid.

Co-authored-by: Arya <aryasolhi@gmail.com>