[Testing] Build binaries in CI/CD to prevent breakages.

[JoshLind]

To ensure binaries aren't broken (e.g., due to feature changes: #10076), it's probably a good idea to write a set of tests (e.g., script?) that builds all binaries in the codebase and run them as part of CI/CD. This way, we can ensure that unexpected build issues aren't identified after the fact.