Auto merge of #128787 - Oneirical:infohazardous-deprogram, r=jieyouxu

Coalesce `dep-info`, `dep-info-spaces` and `dep-info-doesnt-run-much` `run-make` tests into `dep-info` rmake.rs

Part of #121876 and the associated [Google Summer of Code project](https://blog.rust-lang.org/2024/05/01/gsoc-2024-selected-projects.html).

This is one of the most ancient tests in the `run-make` directory and its Makefile does some unexpected things, like creating and deleting a `done` directory over and over, sleeping at certain times (this is the [commit](rust-lang/rust@0d9fd8e) that added the `sleep`).

I tried to preserve the intent of the test, which is smoke-testing that `dep-info` works.

try-job: x86_64-msvc
try-job: i686-mingw
try-job: aarch64-gnu
try-job: aarch64-apple
try-job: test-various
try-job: armhf-gnu
try-job: dist-various-1