The Rust workspace's pre-push checks were sitting in
`pacquet/.githooks/pre-push` and only fired if a developer ran
`just install-hooks`, which would also disable every husky-managed
TypeScript hook by replacing `core.hooksPath`. Move the bash logic to
`pacquet/scripts/pre-push-rust.sh`, invoke it from `.husky/pre-push`
alongside the existing TS compile and lint checks, and drop the
`install-hooks` recipe so nobody re-points `core.hooksPath` by mistake.
The script now also runs `cargo doc --no-deps --workspace --all-features`
(with `RUSTDOCFLAGS=-D warnings`) and `cargo dylint --all -- --all-targets
--workspace` (with `RUSTFLAGS=-D warnings`), matching CI. `--workspace`
covers both `pacquet/crates/*` and `registry/crates/*` since they share
the root Cargo workspace.