Improve CI for binaries

Currently, we keep Rust binaries in a repository that is not very efficient.

We should think about introducing a CI pipeline that will build it, and as per CLT tool usage, we can just automatically download it when required to the local system and keep things simple. As now, we should just move out binaries from the repository and implement a proper flow.

The issue names no files, tests, or CI entry point. Start by tracing where the repository’s Rust binaries are stored and how CLT currently uses them; done means the binaries are removed from the repository and an automated build and local download flow is verified.

Written by the indexing model from the issue text.