Explore adding a reproducibility test to rust test infrastructure.

[biabbas]

Fixes #75362
Trying to add a reproducibility check on rust infrastructure itself to detect reproducibility issues.
These were the issues encountered till now:

1. On ci only nightly build is supported because of an issue here: https://github.com/rust-lang/rust/blob/master/src/build_helper/src/git.rs#L143
2. Because this is a nightly build, llvm is built from sources. So space was an issue. This was resolved by deleting the copy of source and all build contents except for stage1 artifacts.

Questions:

1. The check takes about 5hours to complete for now. Is this sustainable for each pr?
2. Can we add this as a post merge workflow?
   This is also related to issue: Rust reproducibility issue - Finding the proper fix #134589

Zulip discussion thread:
#t-infra > Add reproducibility check to detect reproducibility issues